# Jörg Schröder

## Forschung

• Nichtlineare Kontinuumsmechanik und Materialtheorie.
• Finite Element Formulierungen und Lösungsalgorithmen.
• Homogenisierungsverfahren und Mikro-Makro-Übergänge heterogener Materialien.

## Lehre

• Mechanik 1
• Mechanik 2
• Lineare Finite Element Methode
• Nonlinear finite element method / Nicht-lineare Finite Element Methode
• Kontinuumsmechanik
• Inelastische Probleme / Computational Inelasticity

## Werdegang

 1988 Diplom im Bauingenieurwesen, Fachhochschule Holzminden. 1992 Diplom im Bauingenieurwesen, Universität Hannover. 1993 bis 1995 Wissenschaftlicher Mitarbeiter am Institut für Baumechanik, Universität Hannover. 1995 Promotion an der Universität Hannover. Titel der Arbeit: "Theoretische und algorithmische Konzepte zur phänomenologischen Beschreibung anisotropen Materialverhaltens". 1996 bis 2000 Akademischer Rat am Institut für Mechanik (Bauwesen) am Lehrstuhl I Prof. C.Miehe, Universität Stuttgart. 2000 Habilitation an der Universität Stuttgart. Titel der Arbeit: "Homogenisierungsmethoden der nichtlinearen Kontinuumsmechanik unter Beachtung von Stabilitätsproblemen". 2000 bis 2001 Professor für Mechanik an der Technischen Universität Darmstadt. seit 2001 Professor für Mechanik an der Universität Duisburg-Essen. seit 2011 Prorektor für Forschung, wissenschaftlichen Nachwuchs und Wissenstransfer an der Universität Duisburg-Essen

## Publikationen

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 Ul-Haq, M.N., Shvartsman, V.V., Trivedi, H., Salamon, S., Webers, S., Wende, H., Hagemann, U., Schröder, J. & Lupascu, D.C. (2018), "Strong converse magnetoelectric effect in(Ba,Ca)(Zr,Ti)O3 - NiFe2O4 multiferroics: A relationship between phase-connectivity and interface coupling", Acta Mechanica. Vol. 144(Supplement C), pp. 305-313. BibTeX: @article{NavShvTriSalWebWenHagSchLup:2018:scm, author = {M. Naveed-Ul-Haq and Vladimir V. Shvartsman and Harsh Trivedi and Soma Salamon and Samira Webers and Heiko Wende and Ulrich Hagemann and Jörg Schröder and Doru C. Lupascu}, title = {Strong converse magnetoelectric effect in(Ba,Ca)(Zr,Ti)O3 - NiFe2O4 multiferroics: A relationship between phase-connectivity and interface coupling}, journal = {Acta Mechanica}, year = {2018}, volume = {144}, number = {Supplement C}, pages = {305--313}, url = {http://www.sciencedirect.com/science/article/pii/S1359645417309072}, doi = {https://doi.org/10.1016/j.actamat.2017.10.048} }  von Hoegen, M., Skatulla, S. & Schröder, J. (2017), "A generalized micromorphic approach accounting for variation and dispersion of preferred material directions", Computers and Structures. BibTeX: @article{HoeSkaSch:2017:agc, author = {M. von Hoegen and S. Skatulla and J. Schröder}, title = {A generalized micromorphic approach accounting for variation and dispersion of preferred material directions}, journal = {Computers and Structures}, year = {2017}, doi = {https://doi.org/10.1016/j.compstruc.2017.11.013} }  Labusch, M., Schröder, J. & Keip, M.-A. (2017), "An FE^2-Scheme for Magneto-Electro-Mechanically Coupled Boundary Value Problems", In Ferroic Functional Materials: Experiment, Modeling and Simulation. Springer. BibTeX: @incollection{LabSchKei:2017:afs, author = {M. Labusch and J. Schröder and M.-A. Keip}, title = {An FE^2-Scheme for Magneto-Electro-Mechanically Coupled Boundary Value Problems}, booktitle = {Ferroic Functional Materials: Experiment, Modeling and Simulation}, publisher = {Springer}, year = {2017} }  Labusch, M., Schröder, J. & Keip, M.-A. (2017), "Multiscale homogenization of magneto-electric composites: how the ferroelectric polarization affects the product properties", In Smart Material Systems and Structures - Modeling and Simulation. Springer. BibTeX: @incollection{LabSchKei:2017:mho, author = {M. Labusch and J. Schröder and M.-A. Keip}, title = {Multiscale homogenization of magneto-electric composites: how the ferroelectric polarization affects the product properties}, booktitle = {Smart Material Systems and Structures - Modeling and Simulation}, publisher = {Springer}, year = {2017} }  Labusch, M., Schröder, J. & Lupascu, D.C. (2017), "Multiscale homogenization of magneto-electric porous two-phase composites", In Insights and Innovations in Structural Engineering, Mechanics and Computation, SEMC 2016. Springer. BibTeX: @incollection{LabSchLup:2017:mho, author = {M. Labusch and J. Schröder and D.C. Lupascu}, title = {Multiscale homogenization of magneto-electric porous two-phase composites}, booktitle = {Insights and Innovations in Structural Engineering, Mechanics and Computation, SEMC 2016}, publisher = {Springer}, year = {2017} }  Leichsenring, P., Serdas, S., Wallmersperger, T., Bluhm, J. & Schröder, J. (2017), "Electro-chemical aspects of IPMCs within the framework of the theory of porous media", Smart Materials and Structures. Vol. 26(4), pp. 045004. BibTeX: @article{LeiSerWalBluSch, author = {P. Leichsenring and S. Serdas and T. Wallmersperger and J. Bluhm and J. Schröder}, title = {Electro-chemical aspects of IPMCs within the framework of the theory of porous media}, journal = {Smart Materials and Structures}, year = {2017}, volume = {26}, number = {4}, pages = {045004}, url = {http://stacks.iop.org/0964-1726/26/i=4/a=045004} }  Leichsenring, P., Serdas, S., Wallmersperger, T., Bluhm, J. & Schröder, J. (2017), "Electro-chemical aspects of IPMCs within the framework of the Theory of Porous Media, accepted", Smart Materials and Structures. Vol. 26 BibTeX: @article{LeiSerWalBluSch:2017:eca, author = {P. Leichsenring and S. Serdas and T. Wallmersperger and J. Bluhm and J. Schröder}, title = {Electro-chemical aspects of IPMCs within the framework of the Theory of Porous Media, accepted}, journal = {Smart Materials and Structures}, year = {2017}, volume = {26} }  Schröder, J., von Hoegen, M. & Neff, P. (2017), "The exponentiated Hencky energy: anisotropic extension and case studies", Computational Mechanics. BibTeX: @article{SchHoeNef:2017:teh, author = {J. Schröder and M. von Hoegen and P. Neff}, title = {The exponentiated Hencky energy: anisotropic extension and case studies}, journal = {Computational Mechanics}, year = {2017}, doi = {https://doi.org/10.1007/s00466-017-1466-4} }  Bluhm, J., Specht, S. & Schröder, J. (submitted (2017)), "Description of the damage and healing behavior of an extrinsic and autonomous self-healing anisotropic material", Proceedings in Applied Mathematics and Mechanics. BibTeX: @article{BluSpeSch:2017:dot, author = {J. Bluhm and S. Specht and J. Schröder}, title = {Description of the damage and healing behavior of an extrinsic and autonomous self-healing anisotropic material}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {submitted (2017)} }  Fausten, S., Balzani, D., Heinlein, A., Klawonn, A., Rheinbach, O. & Schröder, J. (in press (2017)), "Steps towards more realistic FSI-simulations for coronary arteries", Proceedings of Applied Mathematics and Mechanics. Vol. 17 BibTeX: @article{FauBalHeiKlaRheSch:2017:stm, author = {S. Fausten and D. Balzani and A. Heinlein and A. Klawonn and O. Rheinbach and J. Schröder}, title = {Steps towards more realistic FSI-simulations for coronary arteries}, journal = {Proceedings of Applied Mathematics and Mechanics}, year = {in press (2017)}, volume = {17} }  Igelbüscher, M., Schwarz, A., Steeger, K. & Schröder, J. (submitted (2017)), "Remarks on a modified mixed least-squares finite element formulation for small strain elasto-plasticity", Proceedings in Applied Mathematics and Mechanics. BibTeX: @article{IgeSchSteSch:2017:roa, author = {Igelbüscher, M. and Schwarz, A. and Steeger, K. and Schröder, J.}, title = {Remarks on a modified mixed least-squares finite element formulation for small strain elasto-plasticity}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {submitted (2017)} }  Lemke, V., Labusch, M., Schröder, J. & Wende, H. (in press (2017)), "FEM-analysis of a multiferroic nanocomposite, comparison of experiment and numerical simulation", In Proceedings in Applied Mathematics and Mechanics. BibTeX: @article{LemLabSchWen:2017:fao, author = {V. Lemke and M. Labusch and J. Schröder and H. Wende}, title = {FEM-analysis of a multiferroic nanocomposite, comparison of experiment and numerical simulation}, booktitle = {Proceedings in Applied Mathematics and Mechanics}, year = {in press (2017)} }  Marino, M., von Hoegen, M., Schröder, J. & Wriggers, P. (accepted (2017)), "Direct and inverse identification of constitutive parameters from the structure of soft tissues. Part 1: micro- and nano-structure of collagen fibers", Biomechanics and Modeling in Mechanobiology. BibTeX: @article{MarHoeSchWri:2017:dai, author = {M. Marino and M. von Hoegen and J. Schröder and P. Wriggers}, title = {Direct and inverse identification of constitutive parameters from the structure of soft tissues. Part 1: micro- and nano-structure of collagen fibers}, journal = {Biomechanics and Modeling in Mechanobiology}, year = {accepted (2017)} }  Nisters, C., Schwarz, A., Averweg, S. & Schröder, J. (in press 2017), "Remarks on a Fluid-Structure Interaction scheme based on the least-squares finite element method at small strains", In To be announced. Springer. BibTeX: @incollection{NisSchAverSch:2017:roa, author = {C. Nisters and A. Schwarz and S. Averweg and J. Schröder}, title = {Remarks on a Fluid-Structure Interaction scheme based on the least-squares finite element method at small strains}, booktitle = {To be announced}, publisher = {Springer}, year = {in press 2017} }  Nisters, C., Schwarz, A. & Schröder, J. (submitted (2017)), "Investigation of stress-velocity LSFEMs for the incompressible Navier-Stokes equations.", Proceedings in Applied Mathematics and Mechanics. BibTeX: @article{NisSchSch:2017:ios, author = {C. Nisters and A. Schwarz and J. Schröder}, title = {Investigation of stress-velocity LSFEMs for the incompressible Navier-Stokes equations.}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {submitted (2017)} }  Pise, M., Bluhm, J. & SchrÃ¶der, J. (submitted (2017)), "A phase-field model of hydraulic fracture in saturated binary porous media", Proceedings in Applied Mathematics and Mechanics. BibTeX: @article{PisBluSch:2017:apf, author = {M. Pise and J. Bluhm and J. SchrÃ¶der}, title = {A phase-field model of hydraulic fracture in saturated binary porous media}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {submitted (2017)} }  Schwarz, A., Nisters, C., Averweg, S. & Schröder, J. (accepted (2017)), "Stress-Velocitiy Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equations", In to be announced. Lecture Notes in Computer Science. Springer. BibTeX: @incollection{SchNisAveSch:2017:svm, author = {A. Schwarz and C. Nisters and S. Averweg and J. Schröder}, title = {Stress-Velocitiy Mixed Least-Squares FEMs for the Time-Dependent Incompressible Navier-Stokes Equations}, booktitle = {to be announced. Lecture Notes in Computer Science}, publisher = {Springer}, year = {accepted (2017)} }  Serdas, S., Bluhm, J. & Schröder, J. (submitted (2017)), "Modeling and simulation of electro-chemomechanical behavior of ionic polymer-metal composites within the framework of the Theory of Porous Media", Proceedings in Applied Mathematics and Mechanics. BibTeX: @article{SerBluSch:2017:mas, author = {S. Serdas and J. Bluhm and J. Schröder}, title = {Modeling and simulation of electro-chemomechanical behavior of ionic polymer-metal composites within the framework of the Theory of Porous Media}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {submitted (2017)} }  Schröder, J., Igelbüscher, M., Schwarz, A. & Starke, G. (2017), "A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity", Computer Methods in Applied Mechanics and Engineering. Vol. 317, pp. 400-418. BibTeX: @article{SchIgeSchSta:2016:aph, author = {J. Schröder and M. Igelbüscher and A. Schwarz and G. Starke}, title = {A Prange-Hellinger-Reissner type finite element formulation for small strain elasto-plasticity}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2017}, volume = {317}, pages = {400--418} }  Schröder, J., Klawonn, A., Scheunemann, L. & Lanser, M. (2017), "Hochleistungsrechnen trifft Hochleistungsstahl", In Essener Unikate 50: Natur-, Ingenieur- und Wirtschaftswissenschaften -- High-Performance und Cloud Computing. Universität Duisburg-Essen. BibTeX: @incollection{SchKlaSchLan:2017:hth, author = {Schröder, J. and Klawonn, A. and Scheunemann, L. and Lanser, M.}, title = {Hochleistungsrechnen trifft Hochleistungsstahl}, booktitle = {Essener Unikate 50: Natur-, Ingenieur- und Wirtschaftswissenschaften -- High-Performance und Cloud Computing}, publisher = {Universität Duisburg-Essen}, year = {2017} }  Schröder, J. & Labusch, M. (2017), "A 3D magnetostrictive Preisach model for the simulation of magneto-electric composites on multiple scales", In Multiscale Modeling of Heterogeneous Structures. Springer. BibTeX: @incollection{SchLab:2017:amp, author = {J. Schröder and M. Labusch}, title = {A 3D magnetostrictive Preisach model for the simulation of magneto-electric composites on multiple scales}, booktitle = {Multiscale Modeling of Heterogeneous Structures}, publisher = {Springer}, year = {2017} }  Schröder, J., Viebahn, N., Wriggers, P., Auricchio, F. & Steeger, K. (2017), "On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations", Computational Mechanics. Vol. 60(3), pp. 479-492. BibTeX: @article{SchVieWriAurSte:2017:ots, author = {Schröder, J. and Viebahn, N. and Wriggers, P. and Auricchio, F. and Steeger, K.}, title = {On the stability analysis of hyperelastic boundary value problems using three- and two-field mixed finite element formulations}, journal = {Computational Mechanics}, year = {2017}, volume = {60}, number = {3}, pages = {479--492} }  Specht, S., Bluhm, J. & Schröder, J. (2017), "Description of damage and healing of a self-healing anisotropic material", In 8.th ECCOMAS Thematic Conference on Smart Structures and Materials SMART 2017. BibTeX: @inproceedings{SpeBluSch:2017:dod, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Description of damage and healing of a self-healing anisotropic material}, booktitle = {8.th ECCOMAS Thematic Conference on Smart Structures and Materials SMART 2017}, year = {2017} }  Viebahn, N., Pimenta, P.M. & Schröder, J. (2017), "A simple triangular finite element for nonlinear thin shells - Statics, Dynamics and anisotropy", Computational Mechanics. Vol. 59(2), pp. 281-297. BibTeX: @article{ViePimSch:2017:ast, author = {N. Viebahn and P.M. Pimenta and J. Schröder}, title = {A simple triangular finite element for nonlinear thin shells - Statics, Dynamics and anisotropy}, journal = {Computational Mechanics}, year = {2017}, volume = {59}, number = {2}, pages = {281--297} }  Specht, S., Bluhm, J. & Schröder, J. (submitted (2016)), "Modeling of Self-Healing Phenomena in a Polymeric Composite Based on a Microcapsule System", In Smart Material Systems and Structures - Modeling and Simulation. Springer. BibTeX: @incollection{SpeBluSch:2016:mos, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Modeling of Self-Healing Phenomena in a Polymeric Composite Based on a Microcapsule System}, booktitle = {Smart Material Systems and Structures - Modeling and Simulation}, publisher = {Springer}, year = {submitted (2016)} }  Serdas, S., Bluhm, J. & Schröder, J. (submitted (2016)), "A thermodynamical consistent model for modeling of ionic electroactive polymers (EAPs) within the framework of the Theory of Porous Media", Proceedings in Applied Mathematics and Mechanics. BibTeX: @article{SerBluSch:2016:atc, author = {S. Serdas and J. Bluhm and J. Schröder}, title = {A thermodynamical consistent model for modeling of ionic electroactive polymers (EAPs) within the framework of the Theory of Porous Media}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {submitted (2016)} }  Schwarz, A., Nickaeen, M., Serdas, S., Ouazzi, A., Schröder, J. & Turek, S. (accepted (2016)), "A comparative study of mixed least-squares FEMs for the incompressible Navier-Stokes equations", International Journal for Numerical Methods in Fluids. BibTeX: @article{SchNicSerOuaSchTur:2016:acs, author = {A. Schwarz and M. Nickaeen and S. Serdas and A. Ouazzi and J. Schröder and S. Turek}, title = {A comparative study of mixed least-squares FEMs for the incompressible Navier-Stokes equations}, journal = {International Journal for Numerical Methods in Fluids}, year = {accepted (2016)} }  Schröder, J. & Nisters, C. (submitted (2016)), "Theoretisches Wissen anschaulich machen, selbstständiges Lernen fördern und den universitären Einstieg erleichtern - E-Learning in der Technischen Mechanik im Bauingenieurwesen", In Flexibles Lernen mit digitalen Medien ermöglichen - Strategische Verankerung und Erprobungsfelder guter Praxis an der Universität Duisburg-Essen. BibTeX: @incollection{SchNis:2016:TWa, author = {Schröder, J. and Nisters, C.}, title = {Theoretisches Wissen anschaulich machen, selbstständiges Lernen fördern und den universitären Einstieg erleichtern - E-Learning in der Technischen Mechanik im Bauingenieurwesen}, booktitle = {Flexibles Lernen mit digitalen Medien ermöglichen - Strategische Verankerung und Erprobungsfelder guter Praxis an der Universität Duisburg-Essen}, year = {submitted (2016)} }  Bluhm, J., Specht, S. & Schröder, J. (submitted (2016)), "Modeling of Extrinsic and Autonomous Self-Healing phenomena within the Framework of the Theory of Porous Media", Proceedings in Applied Mathematics and Mechanics. Vol. 16 BibTeX: @article{BluSpeSch:2016:moe, author = {J. Bluhm and S. Specht and J. Schröder}, title = {Modeling of Extrinsic and Autonomous Self-Healing phenomena within the Framework of the Theory of Porous Media}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {submitted (2016)}, volume = {16} }  Brands, D., Balzani, D., Scheunemann, L., Schröder, J., Richter, H. & Raabe, D. (2016), "Computational Modeling of Dual-Phase Steels Based on Representative Three-Dimensional Microstructures Obtained from EBSD Data", Archive of Applied Mechanics. Vol. 86(3), pp. 575-598. BibTeX: @article{BalBalSchSchRicRaa:2016:cmo, author = {Brands, D. and Balzani, D. and Scheunemann, L. and Schröder, J. and Richter, H. and Raabe, D.}, title = {Computational Modeling of Dual-Phase Steels Based on Representative Three-Dimensional Microstructures Obtained from EBSD Data}, journal = {Archive of Applied Mechanics}, year = {2016}, volume = {86}, number = {3}, pages = {575--598} }  Balzani, D., Tanaka, M. & Schröder, J. (2016), "Implementation of Incremental Variational Formulations based on the Numerical Calculation of Derivatives using Hyper Dual Numbers", Computer Methods in Applied Mechanics and Engineering. Vol. 301, pp. 216-241. BibTeX: @article{BalTanSch:2015:ioi, author = {Balzani, D. and Tanaka, M. and Schröder, J.}, title = {Implementation of Incremental Variational Formulations based on the Numerical Calculation of Derivatives using Hyper Dual Numbers}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2016}, volume = {301}, pages = {216--241} }  Bluhm, J., Serdas, S. & Schröder, J. (2016), "Theoretical framework of modeling of ionic EAPs within the Theory of Porous Media", Archive of Applied Mechanics. Vol. 86, pp. 3-19. BibTeX: @article{BluSerSch:2016:tfo, author = {J. Bluhm and S. Serdas and J. Schröder}, title = {Theoretical framework of modeling of ionic EAPs within the Theory of Porous Media}, journal = {Archive of Applied Mechanics}, year = {2016}, volume = {86}, pages = {3--19} }  Fausten, S., Balzani, D. & Schröder, J. (2016), "An algorithmic scheme for the automated calculation of fiber orientations in arterial walls", Computational Mechanics. Vol. 58(5), pp. 575-598. BibTeX: @article{FauBalSch:2016:aas, author = {Fausten, S. and Balzani, D. and Schröder, J.}, title = {An algorithmic scheme for the automated calculation of fiber orientations in arterial walls}, journal = {Computational Mechanics}, year = {2016}, volume = {58}, number = {5}, pages = {575--598} }  von Hoegen, M., Skatulla, S. & Schröder, J. (2016), "A micromorphic continuum formulation for cardiac tissue mechanics", In Insights and Innovations in Structural Engineering, Mechanics & Computation. Cape Town, South Africa , pp. 612-617. CRC Press. BibTeX: @incollection{HoeSkaSch:2016:amc, author = {M. von Hoegen and S. Skatulla and J. Schröder}, title = {A micromorphic continuum formulation for cardiac tissue mechanics}, booktitle = {Insights and Innovations in Structural Engineering, Mechanics & Computation}, publisher = {CRC Press}, year = {2016}, pages = {612--617} }  Igelbüscher, M., Schröder, J. & Schwarz, A. (2016), "On the performance of the Prange-Hellinger-Reissner finite element formulation for elasto-plasticity at small strains", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 203-204. BibTeX: @article{IgeSchSch:16:otp, author = {M. Igelbüscher and J. Schröder and A. Schwarz}, title = {On the performance of the Prange-Hellinger-Reissner finite element formulation for elasto-plasticity at small strains}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2016}, volume = {16}, pages = {203-204} }  Labusch, M., Keip, M.-A., Shvartsman, V.V., Lupascu, D.C. & Schröder, J. (2016), "On the influence of Ferroelectric Polarization States on the Magneto-electric Coupling in Two-phase Composites", Technische Mechanik. Vol. 36, pp. 73-87. BibTeX: @article{LabKeiShvLupSch:2016:oti, author = {M. Labusch and M.-A. Keip and V.V. Shvartsman and D.C. Lupascu and J. Schröder}, title = {On the influence of Ferroelectric Polarization States on the Magneto-electric Coupling in Two-phase Composites}, journal = {Technische Mechanik}, year = {2016}, volume = {36}, pages = {73--87} }  Labusch, M. & Schröder, J. (2016), "Computational characterization of ferroelectric solids with a 3D Preisach model based on an orientation distribution function", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 461-462. BibTeX: @article{LabSch:16:cco, author = {M. Labusch and J. Schröder}, title = {Computational characterization of ferroelectric solids with a 3D Preisach model based on an orientation distribution function}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2016}, volume = {16}, pages = {461-462} }  Maike, S., Bluhm, J., Schröder, J., Brands, D. & Ricken, T. (2016), "Macroscopic characterization of porous unit cells within the framework of the theory of porous media", In Insights and Innovations in Structural Engineering, Mechanics and Computation. Cape Town, South Africa , pp. 400-406. CRC Press. BibTeX: @incollection{MaiBluSchBraRic:2016:mco, author = {Maike, S. and Bluhm, J. and Schröder, J. and Brands, D. and Ricken, T.}, title = {Macroscopic characterization of porous unit cells within the framework of the theory of porous media}, booktitle = {Insights and Innovations in Structural Engineering, Mechanics and Computation}, publisher = {CRC Press}, year = {2016}, pages = {400--406} }  Schröder, J. & von Hoegen, M. (2016), "An engineering tool to estimate eigenstresses in three-dimensional patient-specific arteries", Computer Methods in Applied Mechanics and Engineering. Vol. 306, pp. 364-381. BibTeX: @article{SchHoe:2016:aet, author = {J. Schröder and M. von Hoegen}, title = {An engineering tool to estimate eigenstresses in three-dimensional patient-specific arteries}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2016}, volume = {306}, pages = {364-381} }  Schröder, J., Labusch, M. & Keip, M.-A. (2016), "Algorithmic two-scale transition for magneto-electro-mechanically coupled problems. FE^2-scheme: Localization and homogenization", Computer Methods in Applied Mechanics and Engineering. Vol. 302, pp. 253-280. BibTeX: @article{SchLabKei:2016:ats, author = {J. Schröder and M. Labusch and M.-A. Keip}, title = {Algorithmic two-scale transition for magneto-electro-mechanically coupled problems. FE^2-scheme: Localization and homogenization}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2016}, volume = {302}, pages = {253--280} }  Scheunemann, L., Schröder, J. & Brands, D. (2016), "Macroscopic yield curves based on statistically similar RVEs for 3D dual-phase steel microstructure", In Insights and Innovations in Structural Engineering, Mechanics & Computation. Cape Town, South Africa , pp. 433-438. CRC Press. BibTeX: @incollection{SchSchBra:2016:myc, author = {L. Scheunemann and J. Schröder and D. Brands}, title = {Macroscopic yield curves based on statistically similar RVEs for 3D dual-phase steel microstructure}, booktitle = {Insights and Innovations in Structural Engineering, Mechanics & Computation}, publisher = {CRC Press}, year = {2016}, pages = {433--438} }  Schwarz, A., Steeger, K., Igelbüscher, M. & Schröder, J. (2016), "Comparison of different least-squares mixed finite element formulations for hyperelasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 239-240. BibTeX: @article{SchSteIgeSch:16:cod, author = {A. Schwarz and K. Steeger and M. Igelbüscher and J. Schröder}, title = {Comparison of different least-squares mixed finite element formulations for hyperelasticity}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2016}, volume = {16}, pages = {239-240} }  Schröder, J., Turek, S. & Schwarz, A. (2016), "Alles im Fluss -- Simulationstechniken der Strömungsmechanik in der Materials Chain", In Essener Unikate 48: Materials Chain -- Forschung aus dem UA Ruhr-Profilschwerpunkt. Universität Duisburg--Essen. BibTeX: @incollection{SchTurSch:2016:aif, author = {J. Schröder and S. Turek and A. Schwarz}, title = {Alles im Fluss -- Simulationstechniken der Strömungsmechanik in der Materials Chain}, booktitle = {Essener Unikate 48: Materials Chain -- Forschung aus dem UA Ruhr-Profilschwerpunkt}, publisher = {Universität Duisburg--Essen}, year = {2016} }  Schröder, J., Viebahn, N., Balzani, D. & Wriggers, P. (2016), "A novel mixed finite element for finite anisotropic elasticity; the SKA-element-Simplified Kinematics for Anisotropy", Computer Methods in Applied Mechanics and Engineering. Vol. 310, pp. 475-494. BibTeX: @article{SchVieBalWri:2016:anm, author = {J. Schröder and N. Viebahn and D. Balzani and P. Wriggers}, title = {A novel mixed finite element for finite anisotropic elasticity; the SKA-element-Simplified Kinematics for Anisotropy}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2016}, volume = {310}, pages = {475--494} }  Viebahn, N., Schröder, J., Wriggers, P. & Balzani, D. (2016), "Notes on a novel finite element for anisotropy at large strains", Proceedings in Applied Mathematics and Mechanics. Vol. 16, pp. 247-248. BibTeX: @article{VieSchWriBal:16:noa, author = {N. Viebahn and J. Schröder and P. Wriggers and D. Balzani}, title = {Notes on a novel finite element for anisotropy at large strains}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2016}, volume = {16}, pages = {247-248} }  Wriggers, P., Schröder, J. & Auricchio, F. (2016), "Finite element formulations for large strain anisotropic material with inextensive fibers", Advanced Modeling and Simulation in Engineering Sciences. Vol. 3(25) BibTeX: @article{WriSchAur:2016:fef, author = {P. Wriggers and J. Schröder and F. Auricchio}, title = {Finite element formulations for large strain anisotropic material with inextensive fibers}, journal = {Advanced Modeling and Simulation in Engineering Sciences}, year = {2016}, volume = {3}, number = {25}, doi = {https://doi.org/10.1186/s40323-016-0079-3} }  Amanieu, H.-Y., Thai, H.N.M., Luchkin, S.Y., Rosato, D., Lupascu, D.C., Keip, M.-A., Schröder, J. & Kholkin, A.L. (2015), "Electrochemical strain microscopy time spectroscopy: Model and experiment on LiMn2O4", J. Appl. Phys.., 08, 2015. Vol. 118(5), pp. 055101. AIP Publishing. BibTeX: @article{AmaThaLucRosLupKeiSchKho:2015:jap, author = {H.-Y. Amanieu and H.N.M. Thai and S. Y. Luchkin and D. Rosato and D.C. Lupascu and M.-A. Keip and J. Schröder and A.L. Kholkin}, title = {Electrochemical strain microscopy time spectroscopy: Model and experiment on LiMn2O4}, journal = {J. Appl. Phys.}, publisher = {AIP Publishing}, year = {2015}, volume = {118}, number = {5}, pages = {055101} }  Balzani, D., Deparis, S., Fausten, S., Forti, D., Heinlein, A., Klawonn, A., Quarteroni, A., Rheinbach, O. & Schröder, J. (2015), "Numerical Modeling of Fluid-Structure Interaction in Arteries with Anisotropic Polyconvex Hyperelastic and Anisotropic Viscoelastic Material Models at Finite Strains", International Journal for Numerical Methods in Biomedical Engineering. Vol. 32(10), pp. e02756. BibTeX: @article{BalDepFauForHeiKlaQuaRheSch:2015:nmo, author = {Balzani, D. and Deparis, S. and Fausten, S. and Forti, D. and Heinlein, A. and Klawonn, A. and Quarteroni, A. and Rheinbach, O. and Schröder, J.}, title = {Numerical Modeling of Fluid-Structure Interaction in Arteries with Anisotropic Polyconvex Hyperelastic and Anisotropic Viscoelastic Material Models at Finite Strains}, journal = {International Journal for Numerical Methods in Biomedical Engineering}, year = {2015}, volume = {32}, number = {10}, pages = {e02756} }  Balzani, D., Gandhi, A., Tanaka, M. & Schröder, J. (2015), "Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices", Computational Mechanics. Vol. 55(5), pp. 861-871. BibTeX: @article{BalGanTanSch:2015:nco, author = {Balzani, D. and Gandhi, A. and Tanaka, M. and Schröder, J.}, title = {Numerical calculation of thermo-mechanical problems at large strains based on complex step derivative approximation of tangent stiffness matrices}, journal = {Computational Mechanics}, year = {2015}, volume = {55}, number = {5}, pages = {861-871} }  Baron, T.J., Khlopkov, K., Pretorius, T., Balzani, D., Brands, D. & Schröder, J. (2015), "Modeling of Microstructure Evolution with Dynamic Recrystallization in Finite Element Simulations of Martensitic Steel", Steel Research International. Vol. 87(1), pp. 37-45. BibTeX: @article{BarKhlPreBalBraSch:2015:mom, author = {Baron, T.J. and Khlopkov, K. and Pretorius, T. and Balzani, D. and Brands, D. and Schröder, J.}, title = {Modeling of Microstructure Evolution with Dynamic Recrystallization in Finite Element Simulations of Martensitic Steel}, journal = {Steel Research International}, year = {2015}, volume = {87}, number = {1}, pages = {37--45}, doi = {https://doi.org/10.1002/srin.201400576} }  Bluhm, J., Specht, S. & Schröder, J. (2015), "Modeling of self-healing effects in polymer composites", Archive of Applied Mechanics. Vol. 85, pp. 1469-1481. BibTeX: @article{BluSpeSch:2015:mos, author = {J. Bluhm and S. Specht and J. Schröder}, title = {Modeling of self-healing effects in polymer composites}, journal = {Archive of Applied Mechanics}, year = {2015}, volume = {85}, pages = {1469--1481}, doi = {DOI 10.1007/s00419-014-0946-7} }  Fausten, S., Balzani, D. & Schröder, J. (2015), "Numerical calculation of fiber orientation in three-dimensional arterial walls", Proceedings of Applied Mathematics and Mechanics. Vol. 15, pp. 91-92. BibTeX: @article{FauBalSch:2015:nco, author = {Fausten, S. and Balzani, D. and Schröder, J.}, title = {Numerical calculation of fiber orientation in three-dimensional arterial walls}, journal = {Proceedings of Applied Mathematics and Mechanics}, year = {2015}, volume = {15}, pages = {91-92} }  von Hoegen, M. & Schröder, J. (2015), "Computation of Eigenstresses in Three-Dimensional Patient-Specific Arterial Walls", In XIII International Conference on Computational Plasticity. Fundamentals and Applications. Barcelona, Spain. September 2015. BibTeX: @inproceedings{HoeSch:2015:coe, author = {M. von Hoegen and J. Schröder}, title = {Computation of Eigenstresses in Three-Dimensional Patient-Specific Arterial Walls}, booktitle = {XIII International Conference on Computational Plasticity. Fundamentals and Applications}, year = {2015} }  von Hoegen, M. & Schröder, J. (2015), "Computation of Residual Stress Distributions and Opening Angles of 3D Patient-Specific Arterial Walls", Proceedings of Applied Mathematics and Mechanics. Vol. 15, pp. 115-116. BibTeX: @article{HoeSch:2015:cor, author = {M. von Hoegen and J. Schröder}, title = {Computation of Residual Stress Distributions and Opening Angles of 3D Patient-Specific Arterial Walls}, journal = {Proceedings of Applied Mathematics and Mechanics}, year = {2015}, volume = {15}, pages = {115-116} }  Igelbüscher, M. (2015), "Comparison of geometrically linear and nonlinear finite element formulations for elasto-plasticity". MasterarbeitMasterarbeit, 2015. BibTeX: @techreport{Ige:2015:cog, author = {Igelbüscher, M.}, title = {Comparison of geometrically linear and nonlinear finite element formulations for elasto-plasticity}, school = {Masterarbeit}, year = {2015} }  Schrade, D., Keip, M.-A., Thai, H., Schröder, J., Svendsen, B., Müller, R. & Gross, D. (2015), "Coordinate-invariant phase field modeling of ferroelectrics, part II: Application to composites and polycrystals", GAMM--Mitteilungen. Vol. 38(1), pp. 115-131. BibTeX: @article{KeiSchThaSchSveMueGro:2015:cip, author = {D. Schrade and M.-A. Keip and H. Thai and J. Schröder and B. Svendsen and R. Müller and D. Gross}, title = {Coordinate-invariant phase field modeling of ferroelectrics, part II: Application to composites and polycrystals}, journal = {GAMM--Mitteilungen}, year = {2015}, volume = {38}, number = {1}, pages = {115--131} }  Labusch, M., Schröder, J., Keip, M.-A. & Lupascu, D.C. (2015), "Computational characterization of magneto-electric composites: the role of ferroelectric pre-polarization", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 457-458. BibTeX: @article{LabSchKeiLup:2015:cco, author = {M. Labusch and J. Schröder and M.-A. Keip and D.C. Lupascu}, title = {Computational characterization of magneto-electric composites: the role of ferroelectric pre-polarization}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2015}, volume = {15}, pages = {457--458} }  Nisters, C., Schwarz, A., Steeger, K. & Schröder, J. (2015), "A stress-velocity least-squares mixed finite element formulation for incompressible elastodynamics", Proceedings in Applied Mathematics and Mechanics. Vol. 15(1), pp. 217-218. BibTeX: @article{NisSchSteSch:2015:asv, author = {C. Nisters and A. Schwarz and K. Steeger and J. Schröder}, title = {A stress-velocity least-squares mixed finite element formulation for incompressible elastodynamics}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2015}, volume = {15}, number = {1}, pages = {217--218} }  Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2015), "Construction of Statistically Similar RVEs", In Analysis and Computation of Microstructure in Finite Plasticity. Lecture Notes in Applied and Computational Mechanics (78). Springer. BibTeX: @incollection{SchBalBraSch:2015:cos, author = {L. Scheunemann and D. Balzani and D. Brands and J. Schröder}, title = {Construction of Statistically Similar RVEs}, booktitle = {Analysis and Computation of Microstructure in Finite Plasticity. Lecture Notes in Applied and Computational Mechanics (78)}, publisher = {Springer}, year = {2015} }  Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2015), "Design of 3D Statistically Similar Representative Volume Elements based on Minkowski Functionals", Mechanics of Materials. Vol. 90, pp. 185-201. BibTeX: @article{SchBalBraSch:2015:do3, author = {L. Scheunemann and D. Balzani and D. Brands and J. Schröder}, title = {Design of 3D Statistically Similar Representative Volume Elements based on Minkowski Functionals}, journal = {Mechanics of Materials}, year = {2015}, volume = {90}, pages = {185--201} }  Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2015), "Study on statistically similar RVEs for real microstructures based on different statistical descriptors", Proceedings in Applied Mathematics and Mechanics. Vol. 15(1), pp. 467-468. WILEY-VCH Verlag. BibTeX: @article{SchBalBraSch:2015:sos, author = {Scheunemann, L. and Balzani, D. and Brands, D. and Schröder, J.}, title = {Study on statistically similar RVEs for real microstructures based on different statistical descriptors}, journal = {Proceedings in Applied Mathematics and Mechanics}, publisher = {WILEY-VCH Verlag}, year = {2015}, volume = {15}, number = {1}, pages = {467--468}, url = {http://dx.doi.org/10.1002/pamm.201510224}, doi = {https://doi.org/10.1002/pamm.201510224} }  Schrade, D., Keip, M.-A., Thai, H., Schröder, J., Svendsen, B., Müller, R. & Gross, D. (2015), "Coordinate-invariant phase field modeling of ferroelectrics, part I: Model formulation and single-crystal simulations", GAMM--Mitteilungen. Vol. 38(1), pp. 102-114. BibTeX: @article{SchKeiThaSchSveMueGro:2015:cip, author = {D. Schrade and M.-A. Keip and H. Thai and J. Schröder and B. Svendsen and R. Müller and D. Gross}, title = {Coordinate-invariant phase field modeling of ferroelectrics, part I: Model formulation and single-crystal simulations}, journal = {GAMM--Mitteilungen}, year = {2015}, volume = {38}, number = {1}, pages = {102--114} }  Schröder, J., Labusch, M., Keip, M.-A., Kiefer, B., Brands, D. & Lupascu, D.C. (2015), "Computation of non-linear magneto-electric product properties of 0-3 composites", GAMM--Mitteilungen. Vol. 38(1), pp. 8-24. BibTeX: @article{SchLabKeiKieBraLup:2015:con, author = {J. Schröder and M. Labusch and M.-A. Keip and B. Kiefer and D. Brands and D.C. Lupascu}, title = {Computation of non-linear magneto-electric product properties of 0-3 composites}, journal = {GAMM--Mitteilungen}, year = {2015}, volume = {38}, number = {1}, pages = {8--24} }  Schwarz, A., Steeger, K. & Schröder, J. (2015), "Weighted overconstrained least-squares mixed finite elements for hyperelasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 227-228. BibTeX: @article{SchSteSch:2015:wol, author = {A. Schwarz and K. Steeger and J. Schröder}, title = {Weighted overconstrained least-squares mixed finite elements for hyperelasticity}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2015}, volume = {15}, pages = {227--228} }  Schröder, J., Viebahn, N., Wriggers, P. & Balzani, D. (2015), "A novel mixed finite element for anisotropy - Basic Ideas", In Report of the Workshop 43 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Computational Engineering'', organized by S. Brenner, C. Carstensen, L. Demkowicz, P. Wriggers. BibTeX: @inproceedings{SchVieWriBal:2015:anm, author = {Schröder, J. and Viebahn, N. and Wriggers, P. and Balzani, D.}, title = {A novel mixed finite element for anisotropy - Basic Ideas}, booktitle = {Report of the Workshop 43 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Computational Engineering'', organized by S. Brenner, C. Carstensen, L. Demkowicz, P. Wriggers}, year = {2015} }  Serdas, S., Bluhm, J. & Schröder, J. (2015), "Modeling of thermo-electro-mechanical coupling effects in ionic electroactive polymers within the Theory of Porous Media", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 425-426. BibTeX: @article{SerBluSch:2015:mot, author = {S. Serdas and J. Bluhm and J. Schröder}, title = {Modeling of thermo-electro-mechanical coupling effects in ionic electroactive polymers within the Theory of Porous Media}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2015}, volume = {15}, pages = {425--426} }  Specht, S., Bluhm, J. & Schröder, J. (2015), "Continuum mechanical description of an extrinsic and autonomous self-healing material based on the theory of porous media", In Self-healing Materials. Vol. 273, pp. 143-184. Springer Berlin, Heidelberg. BibTeX: @incollection{SpeBluSch:2015:cmd, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Continuum mechanical description of an extrinsic and autonomous self-healing material based on the theory of porous media}, booktitle = {Self-healing Materials}, publisher = {Springer Berlin, Heidelberg}, year = {2015}, volume = {273}, pages = {143--184}, doi = {https://doi.org/10.1007/12_2015_338} }  Specht, S., Bluhm, J. & Schröder, J. (2015), "Simulation of self-healing processes in microcapsule based self-healing polymeric systems", In 6.th International Conference on Computational Methods for Coupled Problems in Science and Engineering., pp. 871-880. BibTeX: @inproceedings{SpeBluSch:2015:sos, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Simulation of self-healing processes in microcapsule based self-healing polymeric systems}, booktitle = {6.th International Conference on Computational Methods for Coupled Problems in Science and Engineering}, year = {2015}, pages = {871--880} }  Steeger, K., Schröder, J. & Schwarz, A. (2015), "Comparison of a mixed least-squares formulation using different approximation spaces", Proceedings in Applied Mathematics and Mechanics. Vol. 15, pp. 233-234. BibTeX: @article{SteSchSchStaMue:2014:coa, author = {K. Steeger and J. Schröder and A. Schwarz}, title = {Comparison of a mixed least-squares formulation using different approximation spaces}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2015}, volume = {15}, pages = {233--234} }  Tanaka, M., Sasagawa, T., Omote, R., Fujikawa, M., Balzani, D. & Schröder, J. (2015), "A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers", Computer Methods in Applied Mechanics and Engineering. Vol. 283, pp. 22-45. BibTeX: @article{TanSasOmoFujBalSch:2014:aha, author = {Tanaka, M. and Sasagawa, T. and Omote, R. and Fujikawa, M. and Balzani, D. and Schröder, J.}, title = {A highly accurate 1st- and 2nd-order differentiation scheme for hyperelastic material models based on hyper-dual numbers}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2015}, volume = {283}, pages = {22--45} }  Balzani, D., Brands, D. & Schröder, J. (2014), "Construction of statistically similar representative volume elements", In Plasticity and Beyond. Vol. 550, pp. 355-412. Springer. BibTeX: @incollection{BalBraSch:2014:cos, author = {D. Balzani and D. Brands and J. Schröder}, title = {Construction of statistically similar representative volume elements}, booktitle = {Plasticity and Beyond}, publisher = {Springer}, year = {2014}, volume = {550}, pages = {355-412} }  Balzani, D., Deparis, S., Fausten, S., D.Forti, Heinlein, A., Klawonn, A., Quarteroni, A., Rheinbach, O. & Schröder, J. (2014), "Aspects of arterial wall simulations: nonlinear anisotropic material models and fluid structure interaction", In Proceedings of the 11th World Congress on Computational Mechanics. BibTeX: @inproceedings{BalDepFauForHeiKlaQuaRheSchr:2014:aoa, author = {D. Balzani and S. Deparis and S. Fausten and D.Forti and A. Heinlein and A. Klawonn and A. Quarteroni and O. Rheinbach and J. Schröder}, title = {Aspects of arterial wall simulations: nonlinear anisotropic material models and fluid structure interaction}, booktitle = {Proceedings of the 11th World Congress on Computational Mechanics}, year = {2014} }  Balzani, D., Scheunemann, L., Brands, D. & Schröder, J. (2014), "Construction of Two- and Three-Dimensional Statistically Similar RVEs for Coupled Micro-Macro Simulations", Computational Mechanics. Vol. 54, pp. 1269-1284. BibTeX: @article{BalSchBraSch:2014:cot, author = {D. Balzani and L. Scheunemann and D. Brands and J. Schröder}, title = {Construction of Two- and Three-Dimensional Statistically Similar RVEs for Coupled Micro-Macro Simulations}, journal = {Computational Mechanics}, year = {2014}, volume = {54}, pages = {1269--1284} }  Fausten, S., Balzani, D. & Schröder, J. (2014), "Modeling the physiological behavior of arterial walls - comparative study regarding the viscoelastic response", Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 95-96. BibTeX: @article{FauBalSch:2014:mtp, author = {Fausten, S. and Balzani, D. and Schröder, J.}, title = {Modeling the physiological behavior of arterial walls - comparative study regarding the viscoelastic response}, journal = {Proceedings of Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {95-96} }  Gandhi, A., Balzani, D. & Schröder, J. (2014), "Modeling advanced high-strength steels based on direct micro-macro calculations", Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 587-588. BibTeX: @article{GanBalSch:2014:mah, author = {Gandhi, A. and Balzani, D. and Schröder, J.}, title = {Modeling advanced high-strength steels based on direct micro-macro calculations}, journal = {Proceedings of Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {587--588} }  Labusch, M., Etier, M., Lupascu, D.C., Schröder, J. & Keip, M.-A. (2014), "Product properties of a two-phase magneto-electric composite: Synthesis and numerical modeling", Computational Mechanics. Vol. 54, pp. 71-83. BibTeX: @article{LabEtiLupSchKei:2014:ppo, author = {M. Labusch and M. Etier and D.C. Lupascu and J. Schröder and M.-A. Keip}, title = {Product properties of a two-phase magneto-electric composite: Synthesis and numerical modeling}, journal = {Computational Mechanics}, year = {2014}, volume = {54}, pages = {71--83} }  Labusch, M., Keip, M.-A., Kiefer, B. & Schröder, J. (2014), "Computation of effective non-linear inelastic properties of magnetostrictive composites", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 559-560. BibTeX: @article{LabKeiKieSch:2014:coe, author = {M. Labusch and M.-A. Keip and B. Kiefer and J. Schröder}, title = {Computation of effective non-linear inelastic properties of magnetostrictive composites}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {559--560} }  Labusch, M., Keip, M.-A., Kiefer, B. & Schröder, J. (2014), "Computation of the effective magnetostrictive coefficient of magneto-mechanically coupled composites", Proceedings WCCM. BibTeX: @article{LabKeiKieSch:2014:coe2, author = {M. Labusch and M.-A. Keip and B. Kiefer and J. Schröder}, title = {Computation of the effective magnetostrictive coefficient of magneto-mechanically coupled composites}, journal = {Proceedings WCCM}, year = {2014} }  Müller, B., Starke, G., Schwarz, A. & Schröder, J. (2014), "A first-order system least squares method for hyperelasticity", SIAM Journal on Scientific Computing. Vol. 36, pp. 795-816. BibTeX: @article{MueStaSchSch:2014:afo, author = {B. Müller and G. Starke and A. Schwarz and J. Schröder}, title = {A first-order system least squares method for hyperelasticity}, journal = {SIAM Journal on Scientific Computing}, year = {2014}, volume = {36}, pages = {795--816} }  Schröder, J. (2014), "A numerical two-scale homogenization scheme: the FE^2-method", In Plasticity and Beyond. Vol. 550, pp. 1-64. Springer. BibTeX: @incollection{Sch:2014:ant, author = {J. Schröder}, title = {A numerical two-scale homogenization scheme: the FE^2-method}, booktitle = {Plasticity and Beyond}, publisher = {Springer}, year = {2014}, volume = {550}, pages = {1--64} }  Schröder, J., Balzani, D. & Nisters, C. (2014), "Zur Modellierung dünner Schalen mit hyperelastisch isotropem und anisotropem Materialverhaltens", In Essener Membranbau Symposium. BibTeX: @conference{SchBalNis:2014:zmd, author = {J. Schröder and D. Balzani and C. Nisters}, title = {Zur Modellierung dünner Schalen mit hyperelastisch isotropem und anisotropem Materialverhaltens}, booktitle = {Essener Membranbau Symposium}, year = {2014} }  Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2014), "Comparison of Statistical Descriptors for the Construction of Statistically Similar RVEs", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 539-540. BibTeX: @article{SchBraBalSch:2014:cos, author = {Scheunemann, L. and Balzani, D. and Brands, D. and Schröder, J.}, title = {Comparison of Statistical Descriptors for the Construction of Statistically Similar RVEs}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {539--540} }  Scheunemann, L., Brands, D., Balzani, D. & Schröder, J. (2014), "Comparative Study for the Efficient Construction of Statistically Similar RVEs: Lineal-Path and Minkowski Functionals", In Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI). BibTeX: @inproceedings{SchBraBalSch:2014:csf, author = {L. Scheunemann and D. Brands and D. Balzani and J. Schröder}, title = {Comparative Study for the Efficient Construction of Statistically Similar RVEs: Lineal-Path and Minkowski Functionals}, booktitle = {Proceedings of the 11th World Congress on Computational Mechanics (WCCM XI)}, year = {2014} }  Schröder, J., Brinkhues, S., Brands, D. & von Hoegen, M. (2014), "Simulation of arterial walls under condsideration of residual stresses - A numerical approach", Proceedings WCCM. BibTeX: @article{SchBriBraHoe:2014:soa, author = {J. Schröder and S. Brinkhues and D. Brands and M. von Hoegen}, title = {Simulation of arterial walls under condsideration of residual stresses - A numerical approach}, journal = {Proceedings WCCM}, year = {2014} }  Schröder, J., Gandhi, A. & Balzani, D. (2014), "Two-Scale Modeling of DP Steel Incorporating Distributed Properties inside the Micro-Constituents", Procedia Engineering. Vol. 81, pp. 1390-1395. BibTeX: @article{SchGanBal:2014:tmo, author = {Schröder, J. and Gandhi, A. and Balzani, D.}, title = {Two-Scale Modeling of DP Steel Incorporating Distributed Properties inside the Micro-Constituents}, journal = {Procedia Engineering}, year = {2014}, volume = {81}, pages = {1390--1395} }  Schrade, D., Müller, R., Gross, D., Keip, M.-A., Thai, H.N.M. & Schröder, J. (2014), "An invariant formulation for phase field models in ferroelectrics", Acta Materialia. Vol. 51(11-12), pp. 2144-2156. BibTeX: @article{SchMueGroKeiThaSch:2014:aif, author = {D. Schrade and R. Müller and D. Gross and M.-A. Keip and H.N.M. Thai and J. Schröder}, title = {An invariant formulation for phase field models in ferroelectrics}, journal = {Acta Materialia}, year = {2014}, volume = {51}, number = {11-12}, pages = {2144--2156} }  Schrade, D., Müller, R., Gross, D., Keip, M.-A., Thai, H. & Schröder, J. (2014), "An invariant formulation for phase field models in ferroelectrics", International Journal of Solids and Structures. Vol. 51, pp. 2144-2156. BibTeX: @article{SchMulGroKeiThaSch:2014:ijs, author = {D. Schrade and R. Müller and D. Gross and M.-A. Keip and H. Thai and J. Schröder}, title = {An invariant formulation for phase field models in ferroelectrics}, journal = {International Journal of Solids and Structures}, year = {2014}, volume = {51}, pages = {2144--2156} }  Scheunemann, L., Schröder, J., Balzani, D. & Brands, D. (2014), "Construction of statistically similar representative volume elements - comparative study regarding different statistical descriptors", Procedia Engineering. Vol. 81, pp. 1360-1365. BibTeX: @article{SchSchBalBra:2014:cos, author = {L. Scheunemann and J. Schröder and D. Balzani and D. Brands}, title = {Construction of statistically similar representative volume elements - comparative study regarding different statistical descriptors}, journal = {Procedia Engineering}, year = {2014}, volume = {81}, pages = {1360-1365} }  Schwarz, A., Steeger, K. & Schröder, J. (2014), "Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity", Computational Mechanics. Vol. 54(1), pp. 603-612. BibTeX: @article{SchSteSch:2014:wol, author = {A. Schwarz and K. Steeger and J. Schröder}, title = {Weighted overconstrained least-squares mixed finite elements for static and dynamic problems in quasi-incompressible elasticity}, journal = {Computational Mechanics}, year = {2014}, volume = {54}, number = {1}, pages = {603--612} }  Schwarz, A., Steeger, K., Schröder, J., Starke, G. & Müller, B. (2014), "An improved mixed finite element based on a modified least-squares formulation for hyperelasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 243-244. BibTeX: @article{SchSteSchStaMue:2014:aim, author = {A. Schwarz and K. Steeger and J. Schröder and G. Starke and B. Müller}, title = {An improved mixed finite element based on a modified least-squares formulation for hyperelasticity}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {243--244} }  Serdas, S., Schwarz, A., Schröder, J., Turek, S., Ouazzi, A. & Nickaeen, M. (2014), "Least-squares finite element methods for the Navier-Stokes equations for generalized Newtonian fluids", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 623-624. BibTeX: @article{SerSchSchTurOuaNic:2014:aim, author = {S. Serdas and A. Schwarz and J. Schröder and S. Turek and A. Ouazzi and M. Nickaeen}, title = {Least-squares finite element methods for the Navier-Stokes equations for generalized Newtonian fluids}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {623--624} }  Specht, S., Bluhm, J. & Schröder, J. (2014), "Modeling of self-healing phenomena in a polymer matrix within the framework of the theory of porous media", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 471-472. BibTeX: @article{SpeBluSch:2014:mos, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Modeling of self-healing phenomena in a polymer matrix within the framework of the theory of porous media}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {471--472} }  Specht, S., Bluhm, J. & Schröder, J. (2014), "Modeling of self-healing phenomena in a polymer matrix based on a microcapsule system", In 11 th World Congress on Computational Mechanics (WCCM XI). BibTeX: @inproceedings{SpeBluSch:2014:mosh, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Modeling of self-healing phenomena in a polymer matrix based on a microcapsule system}, booktitle = {11 th World Congress on Computational Mechanics (WCCM XI)}, year = {2014} }  Steeger, K., Schwarz, A., Schröder, J., Starke, G. & Müller, B. (2014), "On a least-squares formulation for hyperelastic, transversely isotropic problems", Proceedings in Applied Mathematics and Mechanics. Vol. 14, pp. 247-248. BibTeX: @article{SteSchSchStaMue:2014:oal, author = {K. Steeger and A. Schwarz and J. Schröder and G. Starke and B. Müller}, title = {On a least-squares formulation for hyperelastic, transversely isotropic problems}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {247--248} }  Tanaka, M., Fujikawa, M., Balzani, D. & SchrÃƒÂ¶der, J. (2014), "Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis", Computer Methods in Applied Mechanics and Engineering. Vol. 269, pp. 454-470. BibTeX: @article{TanFujBalSch:2014:rnc, author = {Tanaka, M. and Fujikawa, M. and Balzani, D. and SchrÃƒÂ¶der, J.}, title = {Robust numerical calculation of tangent moduli at finite strains based on complex-step derivative approximation and its application to localization analysis}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2014}, volume = {269}, pages = {454--470} }  Tanaka, M., Sasagawa, T., Omote, R., Fujikawa, M., Balzani, D. & Schröder, J. (2014), "Calculation of Stresses and Consistent Tangent Moduli from Automatic Differentiation of Hyerelastic Strain Energy Functions Through the Use of Hyper Dual Numbers", Proceedings in Applied Mathematics and Mechanics. Vol. 14(1), pp. 429-430. BibTeX: @article{TanSasOmoFujBalSch, author = {Tanaka, M. and Sasagawa, T. and Omote, R. and Fujikawa, M. and Balzani, D. and Schröder, J.}, title = {Calculation of Stresses and Consistent Tangent Moduli from Automatic Differentiation of Hyerelastic Strain Energy Functions Through the Use of Hyper Dual Numbers}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, number = {1}, pages = {429--430} }  Thai, H.N.M., Keip, M.-A. & Schröder, J. (2014), "Phase-field simulation of piezoresponse force microscopy in consideration of different environmental conditions", Proceedings in Applied Mathematics and Mechanics., In Proceedings of Applied Mathematics and Mechanics. Vol. 14, pp. 385-386. BibTeX: @article{ThaKeiSch:2014:tsc, author = {H.N.M. Thai and M.-A. Keip and J. Schröder}, title = {Phase-field simulation of piezoresponse force microscopy in consideration of different environmental conditions}, booktitle = {Proceedings of Applied Mathematics and Mechanics}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2014}, volume = {14}, pages = {385--386} }  Balzani, D., Scheunemann, L., Brands, D. & Schröder, J. (2013), "Construction of 3D statistically similar RVEs for dual-phase steel microstructures", In XII International Conference on Computational Plasticity. Fundamentals and Applications. Barcelona, Spain. September 3--5 2013. BibTeX: @inproceedings{BalSchBraSch:2013:cos, author = {D. Balzani and L. Scheunemann and D. Brands and J. Schröder}, title = {Construction of 3D statistically similar RVEs for dual-phase steel microstructures}, booktitle = {XII International Conference on Computational Plasticity. Fundamentals and Applications}, year = {2013} }  Balzani, D., Schröder, J., Brands, D. & Scheunemann, L. (2013), "Simulation of dual phase steels based on three-dimensionalsional statistically similar RVEs", In Proceedings of the 19th International Symposium on Plasticity and its Current Applications. Nassau, Bahamas. January 3--8 2013. BibTeX: @inproceedings{BalSchBraSch:2013:sod, author = {D. Balzani and J. Schröder and D. Brands and L. Scheunemann}, title = {Simulation of dual phase steels based on three-dimensionalsional statistically similar RVEs}, booktitle = {Proceedings of the 19th International Symposium on Plasticity and its Current Applications}, year = {2013} }  Böse, D., Brinkhues, S., Erbel, R., Klawonn, A., Rheinbach, O. & Schröder, J. (2013), "A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue", Lecture Notes in Computational Science and Engineering. Vol. 91, pp. 369-376. BibTeX: @article{BoeBriErbKlaRheSch:2013:asa, author = {Böse, D. and Brinkhues, S. and Erbel, R. and Klawonn, A. and Rheinbach, O. and Schröder, J.}, title = {A Simultaneous Augmented Lagrange Approach for the Simulation of Soft Biological Tissue}, journal = {Lecture Notes in Computational Science and Engineering}, year = {2013}, volume = {91}, pages = {369--376} }  Eidel, B., Tempel-Stumpf, F. & Schröder, J. (2013), "Algorithmic consistency in computational inelasticity - a conceptual completion", Proceedings in Applied Mathematics and Mechanics. Vol. 13(1), pp. 129-130. BibTeX: @article{EidTemSch:2013:aci, author = {B. Eidel and F. Tempel-Stumpf and J. Schröder}, title = {Algorithmic consistency in computational inelasticity - a conceptual completion}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, number = {1}, pages = {129--130} }  Eidel, B., Tempel-Stumpf, F. & Schröder, J. (2013), "Finite strain viscoelasticity: how to consistently couple discretizations in time and space on quadrature-point level for full order p>=2 and a considerable speed-up", Computational Mechanics. Vol. 52, pp. 463-483. BibTeX: @article{EidTemSch:2013:fsv, author = {B. Eidel and F. Tempel-Stumpf and J. Schröder}, title = {Finite strain viscoelasticity: how to consistently couple discretizations in time and space on quadrature-point level for full order p>=2 and a considerable speed-up}, journal = {Computational Mechanics}, year = {2013}, volume = {52}, pages = {463--483} }  Igelbüscher, M. (2013), "Two and three dimesional interpolation functions of H^1 and H(div) spaces". BachelorarbeitBachelorarbeit, 2013. BibTeX: @techreport{Ige:2013:tat, author = {Igelbüscher, M.}, title = {Two and three dimesional interpolation functions of H^1 and H(div) spaces}, school = {Bachelorarbeit}, year = {2013} }  Keip, M.-A., Labusch, M. & Schröder, J. (2013), "Two-scale computational homogenization of magneto-electric composites", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 529-532. BibTeX: @article{KeiLabSch:2013:tsc, author = {M.-A. Keip and M. Labusch and J. Schröder}, title = {Two-scale computational homogenization of magneto-electric composites}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {529--532} }  Labusch, M., Keip, M.-A., Schröder, J. & Lupascu, D. (2013), "Numerical analysis of two-phase magneto-electric composites", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 261-262. BibTeX: @article{LabKeiSchLup:2013:nao, author = {M. Labusch and M.-A. Keip and J. Schröder and D. Lupascu}, title = {Numerical analysis of two-phase magneto-electric composites}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {261--262} }  Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2013), "Designing Statistically Similar RVEs for 3D Dual Phase Steel Microstructures", Proceedings in Applied Mathematics and Mechanics. Vol. 13(1), pp. 271-272. BibTeX: @article{SchBalBraSch:2013:dss, author = {Scheunemann, L. and Balzani, D. and Brands, D. and Schröder, J.}, title = {Designing Statistically Similar RVEs for 3D Dual Phase Steel Microstructures}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, number = {1}, pages = {271--272} }  Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2013), "A Comparison of Different Statistical Measures for the Construction of Statistically Similar RVEs for dual phase steel microstructures", In Proceedings of PLASTICITY'15: The 21th International Symposium on Plasticity and its Current Applications. Montego Bay, Jamaica. January 4--9 2013. BibTeX: @inproceedings{SchBalBraSch:2015:aco, author = {Scheunemann, L. and Balzani, D. and Brands, D. and Schröder, J.}, title = {A Comparison of Different Statistical Measures for the Construction of Statistically Similar RVEs for dual phase steel microstructures}, booktitle = {Proceedings of PLASTICITY'15: The 21th International Symposium on Plasticity and its Current Applications}, year = {2013} }  Scheunemann, L., Balzani, D., Brands, D., Schröder, J. & Raabe, D. (2013), "Statistically similar RVE construction based on 3D dual-phase steel microstructures", In Research and Applications in Structural Engineering, Mechanics & Computation. Cape Town, South Africa , pp. 411-416. CRC Press, Taylor & Francis Group, London. BibTeX: @incollection{SchBalBraSchRaa:2013:ssr, author = {L. Scheunemann and D. Balzani and D. Brands and J. Schröder and D. Raabe}, title = {Statistically similar RVE construction based on 3D dual-phase steel microstructures}, booktitle = {Research and Applications in Structural Engineering, Mechanics & Computation}, publisher = {CRC Press, Taylor & Francis Group, London}, year = {2013}, pages = {411--416} }  Schröder, J., Keip, M.-A., Labusch, M. & Lupascu, D.C. (2013), "Strain induced product properties of magneto-electric composites", In Research and Applications in Structural Engineering, Mechanics and Computation. , pp. 393-398. CRC Press, Taylor & Francis Group, London. BibTeX: @incollection{SchKeiLabLup:2013:sip, author = {Schröder, J. and Keip, M.-A. and Labusch, M. and Lupascu, D.C.}, title = {Strain induced product properties of magneto-electric composites}, booktitle = {Research and Applications in Structural Engineering, Mechanics and Computation}, publisher = {CRC Press, Taylor & Francis Group, London}, year = {2013}, pages = {393--398} }  Schwarz, A., Schröder, J., Serdas, S., Turek, S., Ouazzi, A. & Nickaeen, M. (2013), "Performance aspects of a mixed s-v LSFEM for the incompressible Navier-Stokes equations with improved mass conservation", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 513-514. BibTeX: @article{SchSchSerTurOuaNic:2013:pao, author = {A. Schwarz and J. Schröder and S. Serdas and S. Turek and A. Ouazzi and M. Nickaeen}, title = {Performance aspects of a mixed s-v LSFEM for the incompressible Navier-Stokes equations with improved mass conservation}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {513--514} }  Serdas, S., Schwarz, A., Schröder, J., Turek, S., Ouazzi, A. & Nickaeen, M. (2013), "Influence of higher interpolation orders in mixed LSFEM for the incompressible Navier-Stokes equations", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 310-302. BibTeX: @article{SerSchSchTurOuaNic:2013:ioh, author = {S. Serdas and A. Schwarz and J. Schröder and S. Turek and A. Ouazzi and M. Nickaeen}, title = {Influence of higher interpolation orders in mixed LSFEM for the incompressible Navier-Stokes equations}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {310--302} }  Specht, S., Bluhm, J. & Schröder, J. (2013), "FE-Analysis of concentration dependent healing processes in a polymer matrix", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 219-220. BibTeX: @article{SpeBluSch:2013:foc, author = {S. Specht and J. Bluhm and J. Schröder}, title = {FE-Analysis of concentration dependent healing processes in a polymer matrix}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {219--220} }  Specht, S., Bluhm, J. & Schröder, J. (2013), "Self-healing phenomena in polymers based on the Theory of Porous Media", In Fouth International Conference on Self-Healing Materials -- ICSHM 2013. BibTeX: @inproceedings{SpeBluSch:2013:shp, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Self-healing phenomena in polymers based on the Theory of Porous Media}, booktitle = {Fouth International Conference on Self-Healing Materials -- ICSHM 2013}, year = {2013} }  Steeger, K., Schwarz, A., Schröder, J., Starke, G. & Müller, B. (2013), "Comparison of geometrically nonlinear LSFEM formulations based on different hyperelastic models", Proceedings in Applied Mathematics and Mechanics. Vol. 13, pp. 97-98. BibTeX: @article{SteSchSchStaMue:2013:shp, author = {K. Steeger and A. Schwarz and J. Schröder and G. Starke and B. Müller}, title = {Comparison of geometrically nonlinear LSFEM formulations based on different hyperelastic models}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, pages = {97--98} }  Thai, H.N.M., Keip, M.-A. & Schröder, J. (2013), "Phase-field simulation of the electro-mechanical response of ferroelectrics during piezoresponse force microscopy", Proceedings in Applied Mathematics and Mechanics. Vol. 13(1), pp. 131-132. BibTeX: @article{ThaKeiSch:2013:tsc, author = {H.N.M. Thai and M.-A. Keip and J. Schröder}, title = {Phase-field simulation of the electro-mechanical response of ferroelectrics during piezoresponse force microscopy}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2013}, volume = {13}, number = {1}, pages = {131--132} }  Wriggers, P., Schröder, J. & Schwarz, A. (2013), "A finite element method for contact using a third medium", Computational Mechanics. Vol. 52, pp. 837-847. BibTeX: @article{WriSchSch:2013:afe, author = {P. Wriggers and J. Schröder and A. Schwarz}, title = {A finite element method for contact using a third medium}, journal = {Computational Mechanics}, year = {2013}, volume = {52}, pages = {837--847} }  Balzani, D., Böse, D., Brands, D., Erbel, R., Klawonn, A., Rheinbach, O. & Schröder, J. (2012), "Parallel Simulation of Patient-specific Atherosclerotic Arteries for the Enhancement of Intravascular Ultrasound Diagnostics", Engineering Computations. Vol. 29(8), pp. 888-906. BibTeX: @article{BalBoeBraErbKlaRheSch:2010:pso, author = {Balzani, D. and Böse, D. and Brands, D. and Erbel, R. and Klawonn, A. and Rheinbach, O. and Schröder, J.}, title = {Parallel Simulation of Patient-specific Atherosclerotic Arteries for the Enhancement of Intravascular Ultrasound Diagnostics}, journal = {Engineering Computations}, year = {2012}, volume = {29}, number = {8}, pages = {888--906} }  Balzani, D., Schröder, J. & Brands, D. (2012), "Construction of Statistically Similar Representative Volume Elements for Dual Phase Steels", In Proceedings of the 18th International Symposium on Plasticity and its Current Applications, San Juan, Puerto Rico. Januar 3--8 2012. BibTeX: @inproceedings{BalSchBra:2012:cos, author = {Balzani, D. and Schröder, J. and Brands, D.}, title = {Construction of Statistically Similar Representative Volume Elements for Dual Phase Steels}, booktitle = {Proceedings of the 18th International Symposium on Plasticity and its Current Applications, San Juan, Puerto Rico}, year = {2012} }  Balzani, D., Schröder, J. & Wriggers, P. (2012), "A new Mixed Finite Element Formulation based on Different Approximations of the Minors of Deformation Tensors", In Report of the Workshop 1207 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Advanced Computational Engineering'', organized by O. Allix, C. Carstensen, J. Schröder, P. Wriggers., pp. 473-475. BibTeX: @inproceedings{BalSchWri:2012:anm, author = {Balzani, D. and Schröder, J. and Wriggers, P.}, title = {A new Mixed Finite Element Formulation based on Different Approximations of the Minors of Deformation Tensors}, booktitle = {Report of the Workshop 1207 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Advanced Computational Engineering'', organized by O. Allix, C. Carstensen, J. Schröder, P. Wriggers}, year = {2012}, pages = {473--475} }  Brinkhues, S., Klawonn, A., Rheinbach, O. & Schröder, J. (2012), "Augmented Lagrange Methods for Quasi-Incompressible Materials -- Applications to Soft Biological Tissue", International Journal for Numerical Methods in Biomedical Engineering. Vol. 29(3), pp. 332-350. John Wiley & Sons, Ltd. BibTeX: @article{BriKlaRheSch:2012:alm, author = {Brinkhues, S. and Klawonn, A. and Rheinbach, O. and Schröder, J.}, title = {Augmented Lagrange Methods for Quasi-Incompressible Materials -- Applications to Soft Biological Tissue}, journal = {International Journal for Numerical Methods in Biomedical Engineering}, publisher = {John Wiley & Sons, Ltd}, year = {2012}, volume = {29}, number = {3}, pages = {332--350}, doi = {https://doi.org/10.1002/cnm.2504} }  Scheunemann, L., Balzani, D., Brands, D. & Schröder, J. (2012), "Construction of Statistically Similar RVEs for 3D Microstructures", Proceedings in Applied Mathematics and Mechanics. Vol. 12(1), pp. 429-430. BibTeX: @article{SchBalBraSch:2012:cos, author = {Scheunemann, L. and Balzani, D. and Brands, D. and Schröder, J.}, title = {Construction of Statistically Similar RVEs for 3D Microstructures}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2012}, volume = {12}, number = {1}, pages = {429--430} }  Schröder, J., Balzani, D., Brands, D. & Scheunemann, L. (2012), "On the incorporation of microstructural information of two-phase steels in FE-Simulations of sheet metal forming", In Proccedings of the Forming Technology Forum 2012''. ETH Zurich, Switzerland. Juni 5-6, 2012. BibTeX: @inproceedings{SchBalBraSch:2012:oti, author = {J. Schröder and D. Balzani and D. Brands and L. Scheunemann}, title = {On the incorporation of microstructural information of two-phase steels in FE-Simulations of sheet metal forming}, booktitle = {Proccedings of the Forming Technology Forum 2012''}, year = {2012} }  Schröder, J., Eidel, B., Brands, D. & Balzani, D. (2012), "Nano to Micro - Perspectives for Homogenization in Crystalline Solids", Proceedings of Applied Mathematics and Mechanics. Vol. 12, pp. 19-22. BibTeX: @article{SchEidBraBal:2012:ntm, author = {Schröder, J. and Eidel, B. and Brands, D. and Balzani, D.}, title = {Nano to Micro - Perspectives for Homogenization in Crystalline Solids}, journal = {Proceedings of Applied Mathematics and Mechanics}, year = {2012}, volume = {12}, pages = {19--22} }  Schröder, J. & Keip, M.-A. (2012), "Two-scale homogenization of electromechanically coupled boundary value problems -- consistent linearization and applications", Computational Mechanics., In Computational Mechanics. Vol. 50(2), pp. 229-244. Abstract: The contribution addresses a direct micro-macro transition procedure for electromechanically coupled boundary value problems. The two-scale homogenization approach is implemented into a so-called FE2-method which allows for the computation of macroscopic boundary value problems in consideration of microscopic representative volume elements. The resulting formulation is applicable to the computation of linear as well as nonlinear problems. In the present paper, linear piezoelectric as well as nonlinear electrostrictive material behavior are investigated, where the constitutive equations on the microscale are derived from suitable thermodynamic potentials. The proposed direct homogenization procedure can also be applied for the computation of effective elastic, piezoelectric, dielectric, and electrostrictive material properties. BibTeX: @article{SchKei:2012:tho, author = {Schröder, J. and Keip, M.-A.}, title = {Two-scale homogenization of electromechanically coupled boundary value problems -- consistent linearization and applications}, booktitle = {Computational Mechanics}, journal = {Computational Mechanics}, year = {2012}, volume = {50}, number = {2}, pages = {229--244} }  Schwarz, A. & Schröder, J. (2012), "On a reduced mixed s-v least-squares finite element formulation for the incompressible Navier-Stokes equations", Proceedings in Applied Mathematics and Mechanics. Vol. 12, pp. 455-456. BibTeX: @article{SchSch:2012:oar, author = {A. Schwarz and J. Schröder}, title = {On a reduced mixed s-v least-squares finite element formulation for the incompressible Navier-Stokes equations}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2012}, volume = {12}, pages = {455--456} }  Schwarz, A., Schröder, J., Starke, G. & Steeger, K. (2012), "Least-squares mixed finite elements for hyperelastic material models", In Report of the Workshop 1207 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Advanced Computational Engineering'', organized by O. Allix, C. Carstensen, J. Schröder, P. Wriggers., pp. 470-472. BibTeX: @inproceedings{SchSchStaSte:2012:lmf, author = {A. Schwarz and J. Schröder and G. Starke and K. Steeger}, title = {Least-squares mixed finite elements for hyperelastic material models}, booktitle = {Report of the Workshop 1207 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Advanced Computational Engineering'', organized by O. Allix, C. Carstensen, J. Schröder, P. Wriggers}, year = {2012}, pages = {470--472} }  Specht, S., Bluhm, J. & Schröder, J. (2012), "Modeling of healing processes in a polymer matrix", Proceedings in Applied Mathematics and Mechanics. Vol. 12(1), pp. 357-358. BibTeX: @article{SprBluSch:2012:moh, author = {S. Specht and J. Bluhm and J. Schröder}, title = {Modeling of healing processes in a polymer matrix}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2012}, volume = {12}, number = {1}, pages = {357--358} }  Starke, G., Müller, B., Schwarz, A. & Schröder, J. (2012), "Stress-displacement least squares mixed finite element approximation for hyperelastic materials", In Report of the Workshop 1207 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Advanced Computational Engineering'', organized by O. Allix, C. Carstensen, J. Schröder, P. Wriggers., pp. 467-469. BibTeX: @inproceedings{StaMueSchSch:2012:sls, author = {G. Starke and B. Müller and A. Schwarz and J. Schröder}, title = {Stress-displacement least squares mixed finite element approximation for hyperelastic materials}, booktitle = {Report of the Workshop 1207 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Advanced Computational Engineering'', organized by O. Allix, C. Carstensen, J. Schröder, P. Wriggers}, year = {2012}, pages = {467--469} }  Steeger, K., Schwarz, A., Schröder, J., Starke, G. & Müller, B. (2012), "Solving hyperelastic problems using mixed LSFEM", Proceedings in Applied Mathematics and Mechanics. Vol. 12, pp. 215-216. BibTeX: @article{SteSchSchStaMue:2012:shp, author = {K. Steeger and A. Schwarz and J. Schröder and G. Starke and B. Müller}, title = {Solving hyperelastic problems using mixed LSFEM}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2012}, volume = {12}, pages = {215--216} }  Balzani, D., Schröder, J. & Brands, D. (2011), "Simulation of Two-Phase Steels based on Statistically Similar Representative Volume Elements", Proceedings in Applied Mathematics and Mechanics. Vol. 11, pp. 939-942. BibTeX: @article{BalSchBra:2011:sot, author = {D. Balzani and J. Schröder and D. Brands}, title = {Simulation of Two-Phase Steels based on Statistically Similar Representative Volume Elements}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2011}, volume = {11}, pages = {939--942} }  Balzani, D., Schröder, J. & Brands, D. (2011), "Statistically Similar RVEs for the Simulation of Two-Phase Steels based on Lineal-Path Functions", In Proceedings of the 2nd African Conference on Computational Mechanics (AfriCOMP11). BibTeX: @inproceedings{BalSchBra:2011:ssr, author = {D. Balzani and J. Schröder and D. Brands}, title = {Statistically Similar RVEs for the Simulation of Two-Phase Steels based on Lineal-Path Functions}, booktitle = {Proceedings of the 2nd African Conference on Computational Mechanics (AfriCOMP11)}, year = {2011} }  Brands, D., Balzani, D., Schröder, J. & Raabe, D. (2011), "Simulation of DP-steels based on statistically similar Representative volume elements and 3D EBSD Data", In Computational Plasticity XI - Fundamentals and Applications. Barcelona, Spain. September 7--9 2011., pp. 1552-1563. BibTeX: @inproceedings{BraBalSchRaa:2011:sod, author = {D. Brands and D. Balzani and J. Schröder and D. Raabe}, title = {Simulation of DP-steels based on statistically similar Representative volume elements and 3D EBSD Data}, booktitle = {Computational Plasticity XI - Fundamentals and Applications}, year = {2011}, pages = {1552--1563} }  Brands, D., Schröder, J. & Balzani, D. (2011), "On the Incorporation of Microstructural Information in Dual Phase Steel Simulations", In Proccedings of the 10th International Conference of Technology of Plasticity, ICTP 2011. Aachen. September, 25--30 2011. BibTeX: @inproceedings{BraSchBal:2011:oti, author = {D. Brands and J. Schröder and D. Balzani}, title = {On the Incorporation of Microstructural Information in Dual Phase Steel Simulations}, booktitle = {Proccedings of the 10th International Conference of Technology of Plasticity, ICTP 2011}, year = {2011} }  Brands, D., Schröder, J. & Balzani, D. (2011), "Statistically Similar Reconstruction of Dual-Phase Steel Microstructures for Engineering Applications", In Proceedings of the 19th International Conference on Computer Methods in Mechanics, CMM 2011. Warschau, Polen. Mai, 9-12 2011. BibTeX: @inproceedings{BraSchBal:2011:ssr, author = {D. Brands and J. Schröder and D. Balzani}, title = {Statistically Similar Reconstruction of Dual-Phase Steel Microstructures for Engineering Applications}, booktitle = {Proceedings of the 19th International Conference on Computer Methods in Mechanics, CMM 2011}, year = {2011} }  Brands, D., Schröder, J., Balzani, D., Dmitrieva, O. & Raabe, D. (2011), "On the Reconstruction and Computation of Dual-Phase Steel Microstructures Based on 3D EBSD Data", Proceedings in Applied Mathematics and Mechanics. Vol. 11, pp. 503-504. BibTeX: @article{BraSchBalDmiRaa:2011:otr, author = {D. Brands and J. Schröder and D. Balzani and O. Dmitrieva and D. Raabe}, title = {On the Reconstruction and Computation of Dual-Phase Steel Microstructures Based on 3D EBSD Data}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2011}, volume = {11}, pages = {503--504} }  Brinkhues, S. & Schröder, J. (2011), "On the incorporation of residual stresses in arterial walls", Proceedings in Applied Mathematics and Mechanics. Vol. 11, pp. 83-84. BibTeX: @article{BriSch:2011:oti, author = {S. Brinkhues and J. Schröder}, title = {On the incorporation of residual stresses in arterial walls}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2011}, volume = {11}, pages = {83--84} }  Eidel, B., Stukowski, A. & Schröder, J. (2011), "Accelerated energy-minimization in the quasicontinuum method with application to nanopillar compression", In Computational Plasticity 2011 - Fundamentals and Applications. Barcelona, Spain. September 7--9 2011., pp. 360-367. BibTeX: @inproceedings{EidStuSch:2011:aem, author = {B. Eidel and A. Stukowski and J. Schröder}, title = {Accelerated energy-minimization in the quasicontinuum method with application to nanopillar compression}, booktitle = {Computational Plasticity 2011 - Fundamentals and Applications}, year = {2011}, pages = {360--367} }  Eidel, B., Stukowski, A. & Schröder, J. (2011), "Energy-minimization in atomic-to-continuum scale-bridging methods", Proceedings in Applied Mathematics and Mechanics. Vol. 11, pp. 509-510. BibTeX: @article{EidStuSch:2011:emi, author = {B. Eidel and A. Stukowski and J. Schröder}, title = {Energy-minimization in atomic-to-continuum scale-bridging methods}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2011}, volume = {11}, pages = {509--510} }  Fausten, S. (2011), "Ein dreidimensionales finites Stabelement zur Berechnung piezoelektrischer Fachwerkstrukturen". BachelorarbeitBachelorarbeit, 2011. BibTeX: @techreport{Fau:2011:edf, author = {S. Fausten}, title = {Ein dreidimensionales finites Stabelement zur Berechnung piezoelektrischer Fachwerkstrukturen}, school = {Bachelorarbeit}, year = {2011} }  Keip, M.-A. & Schröder, J. (2011), "A ferroelectric and ferroelastic microscopic switching criterion for tetragonal ferroelectrics", Proceedings in Applied Mathematics and Mechanics. Vol. 11(1), pp. 475-476. BibTeX: @article{KeiSch:2011:afa, author = {M.-A. Keip and Jörg Schröder}, title = {A ferroelectric and ferroelastic microscopic switching criterion for tetragonal ferroelectrics}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2011}, volume = {11}, number = {1}, pages = {475--476} }  Keip, M.-A. & Schröder, J. (2011), "Effective electromechanical properties of heterogeneous piezoelectrics", Proceedings of Computer Methods in Mechanics., In Advances in Extended and Multifield Theories for Continua. Vol. 59, pp. 109-128. Springer. BibTeX: @incollection{KeiSch:2011:eep, author = {M.-A. Keip and J. Schröder}, title = {Effective electromechanical properties of heterogeneous piezoelectrics}, booktitle = {Advances in Extended and Multifield Theories for Continua}, journal = {Proceedings of Computer Methods in Mechanics}, publisher = {Springer}, year = {2011}, volume = {59}, pages = {109--128} }  Keip, M.-A. & Schröder, J. (2011), "On the modeling of microscopic switching phenomena in tetragonal ferroelectric materials", In Proceedings of the 19th International Conference on Computer Methods in Mechanics, CMM 2011. Warschau, Polen. Mai, 9--12 2011. BibTeX: @inproceedings{KeiSch:2011:otm, author = {M.-A. Keip and J. Schröder}, title = {On the modeling of microscopic switching phenomena in tetragonal ferroelectric materials}, booktitle = {Proceedings of the 19th International Conference on Computer Methods in Mechanics, CMM 2011}, journal = {Proceedings of Computer Methods in Mechanics}, year = {2011} }  Schröder, J., Balzani, D. & Brands, D. (2011), "Approximation of Random Microstructures by Periodic Statistically Similar Representative Volume Elements based on Lineal-Path Functions.", Archive of Applied Mechanics. Vol. 81(7), pp. 975-997. BibTeX: @article{SchBalBra:2011:aor, author = {Schröder, J. and Balzani, D. and Brands, D.}, title = {Approximation of Random Microstructures by Periodic Statistically Similar Representative Volume Elements based on Lineal-Path Functions.}, journal = {Archive of Applied Mechanics}, year = {2011}, volume = {81}, number = {7}, pages = {975--997} }  Schröder, J., Balzani, D. & Brands, D. (2011), "Efficient FE^2-Simulations using Statistically Similar RVEs", In Proceedings of the International Symposium on Plasticity 2011. Puerto Vallarta, Mexiko. Januar, 3--8 2011. BibTeX: @inproceedings{SchBalBra:2011:efs, author = {J. Schröder and D. Balzani and D. Brands}, title = {Efficient FE^2-Simulations using Statistically Similar RVEs}, booktitle = {Proceedings of the International Symposium on Plasticity 2011}, year = {2011} }  Schröder, J., Balzani, D., Stranghöner, N., Uhlemann, J., Gruttmann, F. & Saxe, K. (2011), "Membranstrukturen mit nicht-linearem anisotropem Materialverhalten - Aspekte der Materialprüfung und der numerischen Simulation", Der Bauingenieur. Vol. 86, pp. 381-389. BibTeX: @article{SchBalStrUhlGruSax:2011:mmn, author = {Schröder, J. and Balzani, D. and Stranghöner, N. and Uhlemann, J. and Gruttmann, F. and Saxe, K.}, title = {Membranstrukturen mit nicht-linearem anisotropem Materialverhalten - Aspekte der Materialprüfung und der numerischen Simulation}, journal = {Der Bauingenieur}, year = {2011}, volume = {86}, pages = {381--389} }  Schröder, J. & Keip, M.-A. (2011), "Multiscale Modeling of Electro-mechanically Coupled Materials: Homogenization Procedure and Computation of Overall Moduli", In IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials. Vol. 24, pp. 265-276. Springer Netherlands. Abstract: In this contribution, a meso-macro transition procedure for electro-mechanically coupled materials is presented. The utilized mesoscopic material model will be introduced and implemented into an FE2-homogenization approach. The resulting two-scale formulation is capable to compute macroscopic boundary value problems under consideration of attached heterogeneous representative volume elements at each macroscopic point. The presented direct homogenization procedure also allows for the efficient computation of effective electro-mechanical material parameters. BibTeX: @incollection{SchKei:2011:mmo, author = {Schröder, J. and Keip, M.-A.}, title = {Multiscale Modeling of Electro-mechanically Coupled Materials: Homogenization Procedure and Computation of Overall Moduli}, booktitle = {IUTAM Symposium on Multiscale Modelling of Fatigue, Damage and Fracture in Smart Materials}, publisher = {Springer Netherlands}, year = {2011}, volume = {24}, pages = {265-276} }  Schröder, J. & Keip, M.-A. (2011), "On the Multiscale Modeling of Electro-Mechanically Coupled Materials", In Proceedings of the Fifth International Conference on Multiscale Materials Modeling (MMM2010). Freiburg, Germany, Oktober 4th to 8th, 2011. , pp. 809-817. Springer Netherlands. Abstract: In this contribution, a meso-macro transition procedure for electro-mechanically coupled materials is presented. The utilized mesoscopic material model will be introduced and implemented into an FE2-homogenization approach. The resulting two-scale formulation is capable to compute macroscopic boundary value problems under consideration of attached heterogeneous representative volume elements at each macroscopic point. The presented direct homogenization procedure also allows for the efficient computation of effective electro-mechanical material parameters. BibTeX: @incollection{SchKei:2011:otm, author = {Schröder, J. and Keip, M.-A.}, title = {On the Multiscale Modeling of Electro-Mechanically Coupled Materials}, booktitle = {Proceedings of the Fifth International Conference on Multiscale Materials Modeling (MMM2010)}, publisher = {Springer Netherlands}, year = {2011}, pages = {809--817} }  Schwarz, A. & Schröder, J. (2011), "A mixed least-squares formulation of the Navier-Stokes equations for incompressible Newtonian fluid flow", Proceedings in Applied Mathematics and Mechanics. Vol. 11, pp. 589-590. BibTeX: @article{SchSch:2011:aml, author = {A. Schwarz and J. Schröder}, title = {A mixed least-squares formulation of the Navier-Stokes equations for incompressible Newtonian fluid flow}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2011}, volume = {11}, pages = {589--590} }  Schröder, J., Wriggers, P. & Balzani, D. (2011), "A new Mixed Finite Element based on Different Approximations of the Minors of Deformation Tensors", Computer Methods in Applied Mechanics and Engineering. Vol. 200, pp. 3583-3600. BibTeX: @article{SchWriBal:2011:and, author = {Schröder, J. and Wriggers, P. and Balzani, D.}, title = {A new Mixed Finite Element based on Different Approximations of the Minors of Deformation Tensors}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2011}, volume = {200}, pages = {3583--3600} }  Starke, G., Schwarz, A. & Schröder, J. (2011), "Analysis of a modified First-Order System Least Squares Method for linear Elasticity with improved Momentum Balance", SIAM Journal on Numerical Analysis. Vol. 49, pp. 1006-1022. BibTeX: @article{StaSchSch:2011:aoa, author = {G. Starke and A. Schwarz and J. Schröder}, title = {Analysis of a modified First-Order System Least Squares Method for linear Elasticity with improved Momentum Balance}, journal = {SIAM Journal on Numerical Analysis}, year = {2011}, volume = {49}, pages = {1006-1022} }  Steeger, K., Schwarz, A. & Schröder, J. (2011), "A weighted least-squares mixed finite element formulation for quasi-incompressible elastodynamics", Proceedings in Applied Mathematics and Mechanics. Vol. 11(1), pp. 287-288. BibTeX: @article{SteSchSch:2011:awl, author = {K. Steeger and A. Schwarz and J. Schröder}, title = {A weighted least-squares mixed finite element formulation for quasi-incompressible elastodynamics}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2011}, volume = {11}, number = {1}, pages = {287--288} }  Balzani, D., Brands, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2010), "On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies", Archive of Applied Mechanics. Vol. 80, pp. 479-488. BibTeX: @article{BalBraKlaRheSch:2010:otm, author = {D. Balzani and D. Brands and A. Klawonn and O. Rheinbach and J. Schröder}, title = {On the mechanical modeling of anisotropic biological soft tissue and iterative parallel solution strategies}, journal = {Archive of Applied Mechanics}, year = {2010}, volume = {80}, pages = {479--488} }  Balzani, D., Brands, D. & Schröder, J. (2010), "Construction of Statistically Similar Representative Volume Elements for FE^2-Simulations based on the Lineal-Path Function", In Proceedings of the 4th European Conference on Computational Mechanics (ECCM). BibTeX: @inproceedings{BalBraSch:2010:cos, author = {Balzani, D. and Brands, D. and Schröder, J.}, title = {Construction of Statistically Similar Representative Volume Elements for FE^2-Simulations based on the Lineal-Path Function}, booktitle = {Proceedings of the 4th European Conference on Computational Mechanics (ECCM)}, year = {2010} }  Balzani, D., Schröder, J. & Brands, D. (2010), "FE^2-simulation of micro-heterogeneous steels based on statistically similar RVE's", In IUTAM-Symposium on Variational Concepts with Applications to the Mechanics of Materials. Volume 21 BibTeX: @inproceedings{BalSchBra:2010:fso, author = {D. Balzani and J. Schröder and D. Brands}, title = {FE^2-simulation of micro-heterogeneous steels based on statistically similar RVE's}, booktitle = {IUTAM-Symposium on Variational Concepts with Applications to the Mechanics of Materials}, year = {2010}, volume = {21} }  Brands, D., Balzani, D. & Schröder, J. (2010), "On the FE^2-Simulation using Statistically Similar Representative Volume Elements based on the Lineal-Path Function", Proceedings in Applied Mathematics and Mechanics. Vol. 10, pp. 399-400. BibTeX: @article{BalSchBra:2010:otf, author = {D. Brands and D. Balzani and J. Schröder}, title = {On the FE^2-Simulation using Statistically Similar Representative Volume Elements based on the Lineal-Path Function}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2010}, volume = {10}, pages = {399--400} }  Balzani, D., Schröder, J. & Brands, D. (2010), "Statistically Similar Representative Volume Elements based on Lineal-Path Functions", In Report of the Workshop 1011 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Microstructures in Solids: From Quantum Models to Continua'', organized by A. Mielke and M. Ortiz. BibTeX: @inproceedings{BalSchBra:2010:ssr, author = {Balzani, D. and Schröder, J. and Brands, D.}, title = {Statistically Similar Representative Volume Elements based on Lineal-Path Functions}, booktitle = {Report of the Workshop 1011 at the Mathematisches Forschungsinstitut Oberwolfach'' entitled Microstructures in Solids: From Quantum Models to Continua'', organized by A. Mielke and M. Ortiz}, year = {2010} }  Balzani, D., Schröder, J. & Neff, P. (2010), "Applications of anisotropic polyconvex energies: thin shells and biomechanics of aterial walls", In Poly-, Quasi- and Rank-One Convexity in Applied Mechanics. Vol. 516, pp. 131-176. Springer-Verlag. BibTeX: @incollection{BalSchNef:2010:aoa, author = {D. Balzani and J. Schröder and P. Neff}, title = {Applications of anisotropic polyconvex energies: thin shells and biomechanics of aterial walls}, booktitle = {Poly-, Quasi- and Rank-One Convexity in Applied Mechanics}, publisher = {Springer-Verlag}, year = {2010}, volume = {516}, pages = {131--176} }  Brinkhues, S., Tielke, A.-K. & Schröder, J. (2010), "Sensitivity Analysis of Plaque Components within Arterial Wall Simulations", Proceedings in Applied Mathematics and Mechanics. Vol. 10(1), pp. 73-74. BibTeX: @article{BriTieSch:2010:sao, author = {S. Brinkhues and A.-K. Tielke and J. Schröder}, title = {Sensitivity Analysis of Plaque Components within Arterial Wall Simulations}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2010}, volume = {10}, number = {1}, pages = {73--74} }  Ebbing, V., Schröder, J. & Neff, P. (2010), "Construction of polyconvex energies for non-trivial anisotropy classes", In Poly-, Quasi- and Rank-One Convexity in Applied Mechanics. (516), pp. 53-105. Springer-Verlag. BibTeX: @incollection{EbbSchNef:2010:cop, author = {V. Ebbing and J. Schröder and P. Neff}, title = {Construction of polyconvex energies for non-trivial anisotropy classes}, booktitle = {Poly-, Quasi- and Rank-One Convexity in Applied Mechanics}, publisher = {Springer-Verlag}, year = {2010}, number = {516}, pages = {53--105} }  Keip, M.-A. & Schröder, J. (2010), "A tetragonal switching model for ferroelectric materials", Proceedings in Applied Mathematics and Mechanics. Vol. 10, pp. 369-370. BibTeX: @article{KeiSch:2011:ats, author = {M.-A. Keip and J. Schröder}, title = {A tetragonal switching model for ferroelectric materials}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2010}, volume = {10}, pages = {369--370} }  Lupascu, D.C., Schröder, J., Lynch, C.S., Kreher, W. & Westram, I. (2010), "Mechanical properties of ferro-piezoceramics", In Multifunctional polycrystalline ferroelectric materials. Vol. 140, pp. 469-542. Springer-Verlag, Heidelberg. BibTeX: @incollection{LupSchLynKreWes:2010:mpo, author = {D.C. Lupascu and J. Schröder and C.S. Lynch and W. Kreher and I. Westram}, title = {Mechanical properties of ferro-piezoceramics}, booktitle = {Multifunctional polycrystalline ferroelectric materials}, publisher = {Springer-Verlag, Heidelberg}, year = {2010}, volume = {140}, pages = {469--542} }  Schröder, J. (2010), "Anisotropic Polyconvex Energies", In Poly-, Quasi- and Rank-One Convexity in Applied Mechanics. Vol. 516, pp. 53-105. Springer-Verlag. BibTeX: @incollection{Sch:2010:ape, author = {J. Schröder}, title = {Anisotropic Polyconvex Energies}, booktitle = {Poly-, Quasi- and Rank-One Convexity in Applied Mechanics}, publisher = {Springer-Verlag}, year = {2010}, volume = {516}, pages = {53--105} }  Schröder, J., Balzani, D. & Brands, D. (2010), "A FE^2-Homogenization Technique for Two-Phase Steels based on Statistically Similar Representative Volume Elements", In Proceedings of the International Symposium of Plasticity 2010. St. Kitts, St. Kitts und Nevis. Januar, 3-8- 2010. Neat press. BibTeX: @inproceedings{SchBalBra:2010:afh, author = {Schröder, J. and Balzani, D. and Brands, D.}, title = {A FE^2-Homogenization Technique for Two-Phase Steels based on Statistically Similar Representative Volume Elements}, booktitle = {Proceedings of the International Symposium of Plasticity 2010}, publisher = {Neat press}, year = {2010} }  Schröder, J. & Keip, M.-A. (2010), "A framework for the two-scale homogenization of electro-mechanically coupled boundary value problems", In Computer Methods in Mechanics. Vol. 1, pp. 311-329. Springer Berlin Heidelberg. BibTeX: @incollection{SchKei:2010:aff, author = {J. Schröder and M.-A. Keip}, title = {A framework for the two-scale homogenization of electro-mechanically coupled boundary value problems}, booktitle = {Computer Methods in Mechanics}, publisher = {Springer Berlin Heidelberg}, year = {2010}, volume = {1}, pages = {311--329} }  Schwarz, A., Schröder, J. & Starke, G. (2010), "A modified least-squares mixed finite element with improved momentum balance", International Journal for Numerical Methods in Engineering. Vol. 81, pp. 286-306. BibTeX: @article{SchSchSta:2010:aml, author = {A. Schwarz and J. Schröder and G. Starke}, title = {A modified least-squares mixed finite element with improved momentum balance}, journal = {International Journal for Numerical Methods in Engineering}, year = {2010}, volume = {81}, pages = {286--306} }  Steeger, K., Schwarz, A. & Schröder, J. (2010), "A least-squares mixed finite element for quasi-incompressible elastodynamics", Proceedings in Applied Mathematics and Mechanics. Vol. 10(1), pp. 219-220. BibTeX: @article{SteSchSch:2010:als, author = {K. Steeger and A. Schwarz and J. Schröder}, title = {A least-squares mixed finite element for quasi-incompressible elastodynamics}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2010}, volume = {10}, number = {1}, pages = {219--220} }  Balzani, D., Brands, D., Schröder, J. & Carstensen, C. (2009), "Sensitivity analysis of statistical measures for the reconstruction of microstructures based on the minimization of generalized least-square functionals", Technische Mechanik. Vol. 30, pp. 297-315. BibTeX: @article{BalBraSchCar:2009:sao, author = {D. Balzani and D. Brands and J. Schröder and C. Carstensen}, title = {Sensitivity analysis of statistical measures for the reconstruction of microstructures based on the minimization of generalized least-square functionals}, journal = {Technische Mechanik}, year = {2009}, volume = {30}, pages = {297--315} }  Balzani, D. & Schröder, J. (2009), "Reconstruction of statistically similar microstructures for FE^2-simulations in elasto-plasticity", In Proceedings of the International Symposium of Plasticity. St. Thomas, USA. Januar 2009. Neat press. BibTeX: @inproceedings{BalSch:2009:ros, author = {D. Balzani and J. Schröder}, title = {Reconstruction of statistically similar microstructures for FE^2-simulations in elasto-plasticity}, booktitle = {Proceedings of the International Symposium of Plasticity}, publisher = {Neat press}, year = {2009} }  Balzani, D., Schröder, J. & Brands, D. (2009), "Modeling of two-phase steels based on statistically similar microstructures", In Proceedings of the Conference on Computer Methods in Mechanics 2009. Zielona Gora, Poland. BibTeX: @inproceedings{BalSchBra:2009:mot, author = {D. Balzani and J. Schröder and D. Brands}, title = {Modeling of two-phase steels based on statistically similar microstructures}, booktitle = {Proceedings of the Conference on Computer Methods in Mechanics 2009}, year = {2009} }  Balzani, D., Schröder, J. & Brands, D. (2009), "Statistically similar RVEs for FE^2-simulations". Mathematisches Forschungsinstitut OberwolfachMathematisches Forschungsinstitut Oberwolfach, Technical Report Report No. 29/2009, 1604--1606, 2009. BibTeX: @techreport{BalSchBra:2009:ssr, author = {D. Balzani and J. Schröder and D. Brands}, title = {Statistically similar RVEs for FE^2-simulations}, school = {Mathematisches Forschungsinstitut Oberwolfach}, year = {2009}, number = {Report No. 29/2009, 1604--1606} }  Balzani, D., Schröder, J., Brands, D. & Carstensen, C. (2009), "FE^2-simulations in elasto-plasticity using statistically similar reprensentative volume elements", Proceedings in Applied Mathematics and Mechanics. Vol. 9, pp. 39-42. BibTeX: @article{BalSchBraCar:2009:fsi, author = {D. Balzani and J. Schröder and D. Brands and C. Carstensen}, title = {FE^2-simulations in elasto-plasticity using statistically similar reprensentative volume elements}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2009}, volume = {9}, pages = {39--42} }  Brands, D., Schröder, J., Klawonn, A., Rheinbach, O., Böse, D. & Erbel, R. (2009), "Numerical simulation of aterial walls based on IVUS-data", Proceedings in Applied Mathematics and Mechanics. Vol. 9, pp. 75-78. BibTeX: @article{BraSchKlaRheBoeErb:2009:nso, author = {D. Brands and J. Schröder and A. Klawonn and O. Rheinbach and D. Böse and R. Erbel}, title = {Numerical simulation of aterial walls based on IVUS-data}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2009}, volume = {9}, pages = {75--78} }  Ebbing, V., Balzani, D., Schröder, J., Neff, P. & Gruttmann, F. (2009), "Construction of anisotropic polyconvex energies and applications to thin shells", Computational Materials Science. Vol. 46, pp. 639-641. BibTeX: @article{EbbBalSchNefGru:2009:coa, author = {V. Ebbing and D. Balzani and J. Schröder and P. Neff and F. Gruttmann}, title = {Construction of anisotropic polyconvex energies and applications to thin shells}, journal = {Computational Materials Science}, year = {2009}, volume = {46}, pages = {639--641} }  Ebbing, V., Schröder, J., Gruttmann, F. & Neff, P. (2009), "Modeling of woven fiber composites with anisotropic polyconvex energies", Proceedings in Applied Mathematics and Mechanics. Vol. 9, pp. 333-334. BibTeX: @article{EbbSchGruNef:2009:mow, author = {V. Ebbing and J. Schröder and F. Gruttmann and P. Neff}, title = {Modeling of woven fiber composites with anisotropic polyconvex energies}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2009}, volume = {9}, pages = {333--334} }  Ebbing, V., Schröder, J. & Neff, P. (2009), "Approximation of anisotropic elasticity tensors at the reference state with polyconvex energies", Archive of Applied Mechanics. Vol. 79, pp. 651-657. BibTeX: @article{EbbSchNef:2009:aoa, author = {V. Ebbing and J. Schröder and P. Neff}, title = {Approximation of anisotropic elasticity tensors at the reference state with polyconvex energies}, journal = {Archive of Applied Mechanics}, year = {2009}, volume = {79}, pages = {651--657} }  Ebbing, V., Schröder, J., Steinmann, P. & Neff, P. (2009), "On the computation of configurational forces in anisotropic hyperelastic solids", In Proceedings of the IUTAM--Symposium on Progress in the Theory and Nnumerics of Configurational Mechanics. Erlangen, Germany., pp. 261-270. BibTeX: @inproceedings{EbbSchSteNef:2009:otc, author = {V. Ebbing and J. Schröder and P. Steinmann and P. Neff}, title = {On the computation of configurational forces in anisotropic hyperelastic solids}, booktitle = {Proceedings of the IUTAM--Symposium on Progress in the Theory and Nnumerics of Configurational Mechanics}, year = {2009}, pages = {261--270} }  Keip, M.-A. & Schröder, J. (2009), "Notes on the computation of effective electro-mechanical moduli", Proceedings in Applied Mathematics and Mechanics. Vol. 9, pp. 419-420. BibTeX: @article{KeiSch:2009:not, author = {M.-A. Keip and J. Schröder}, title = {Notes on the computation of effective electro-mechanical moduli}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2009}, volume = {9}, pages = {419--420} }  Schröder, J. (2009), "Derivation of the localization and homogenization conditions for electro-mechanically coupled problems", Computational Materials Science. Vol. 46, pp. 595-599. BibTeX: @article{Sch:2009:dot, author = {J. Schröder}, title = {Derivation of the localization and homogenization conditions for electro-mechanically coupled problems}, journal = {Computational Materials Science}, year = {2009}, volume = {46}, pages = {595--599} }  Schröder, J. & Keip, M.-A. (2009), "Aspects of Meso-Macro Homogenization Procedures for Ferroelectric Materials", In Proceedings of the 6th International Congress of Croatian Society of Mechanics (ICCSM). Zagreb, Croatia Croatian Society of Mechanics. BibTeX: @incollection{SchKei:2009:aom, author = {J. Schröder and M.-A. Keip}, title = {Aspects of Meso-Macro Homogenization Procedures for Ferroelectric Materials}, booktitle = {Proceedings of the 6th International Congress of Croatian Society of Mechanics (ICCSM)}, publisher = {Croatian Society of Mechanics}, year = {2009} }  Schwarz, A. & Schröder, J. (2009), "An asymmetric least-squares mixed finite element for elasto-plasticity at small strains", Proceedings in Applied Mathematics and Mechanics. Vol. 9, pp. 235-236. BibTeX: @article{SchSch:2009:aal, author = {A. Schwarz and J. Schröder}, title = {An asymmetric least-squares mixed finite element for elasto-plasticity at small strains}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2009}, volume = {9}, pages = {235--236} }  Schwarz, A. & Schröder, J. (2009), "A modified least-squares finite element formulation for small strain plasticity", In Proceedings of ICCSM 2009. BibTeX: @inproceedings{SchSch:2009:aml, author = {A. Schwarz and J. Schröder}, title = {A modified least-squares finite element formulation for small strain plasticity}, booktitle = {Proceedings of ICCSM 2009}, year = {2009} }  Schwarz, A., Schröder, J. & Starke, G. (2009), "Least-squares mixed finite elements for small strain elasto-viscoplasticity", International Journal for Numerical Methods in Engineering. Vol. 77, pp. 1351-1370. BibTeX: @article{SchSchSta:2009:lsm, author = {A. Schwarz and J. Schröder and G. Starke}, title = {Least-squares mixed finite elements for small strain elasto-viscoplasticity}, journal = {International Journal for Numerical Methods in Engineering}, year = {2009}, volume = {77}, pages = {1351--1370} }  Schwarz, A., Schröder, J. & Steeger, K. (2009), "A modified least-squares Finite Element Formulation for Small Strain Plasticity", In Proceedings of the International Congress of Croatian Society of Mechanics (ICCSM), 2009. BibTeX: @conference{SchSchSte:2011:amls, author = {A. Schwarz and J. Schröder and K. Steeger}, title = {A modified least-squares Finite Element Formulation for Small Strain Plasticity}, booktitle = {Proceedings of the International Congress of Croatian Society of Mechanics (ICCSM), 2009}, year = {2009} }  Balzani, D., Gruttmann, F. & Schröder, J. (2008), "Analysis of thin shells using anisotropic polyconvex energy densities", Computer Methods in Applied Mechanics and Engineering. Vol. 197, pp. 1015-1032. BibTeX: @article{BalGruSch:2008:aot, author = {D. Balzani and F. Gruttmann and J. Schröder}, title = {Analysis of thin shells using anisotropic polyconvex energy densities}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2008}, volume = {197}, pages = {1015--1032} }  Balzani, D. & Schröder, J. (2008), "Some basic ideas for the reconstruction of statistically similar microstructures for multiscale simulations", Proceedings in Applied Mathematics and Mechanics. Vol. 8, pp. 10533-10534. BibTeX: @article{BalSch:2008:sbi, author = {D. Balzani and J. Schröder}, title = {Some basic ideas for the reconstruction of statistically similar microstructures for multiscale simulations}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2008}, volume = {8}, pages = {10533--10534} }  Brands, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2008), "Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy", Computer Methods in Biomechanics and Biomedical Engineering. Vol. 11, pp. 569-583. BibTeX: @article{BraKlaRheSch:2008:mac, author = {D. Brands and A. Klawonn and O. Rheinbach and J. Schröder}, title = {Modelling and convergence in arterial wall simulations using a parallel FETI solution strategy}, journal = {Computer Methods in Biomechanics and Biomedical Engineering}, year = {2008}, volume = {11}, pages = {569--583} }  Brands, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2008), "On the visualization of patient specific arterial geometries using the virtual histology", Proceedings in Applied Mathematics and Mechanics. Vol. 8, pp. 10169-10170. BibTeX: @article{BraKlaRheSch:2008:otv, author = {D. Brands and A. Klawonn and O. Rheinbach and J. Schröder}, title = {On the visualization of patient specific arterial geometries using the virtual histology}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2008}, volume = {8}, pages = {10169--10170} }  Ebbing, V., Schröder, J. & Neff, P. (2008), "Polyconvex models for arbitrary anisotropic materials", Proceedings in Applied Mathematics and Mechanics. Vol. 8, pp. 10415-10416. BibTeX: @article{EbbSchNef:2008:pmf, author = {V. Ebbing and J. Schröder and P. Neff}, title = {Polyconvex models for arbitrary anisotropic materials}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2008}, volume = {8}, pages = {10415--10416} }  Keip, M.-A. & Schröder, J. (2008), "Aspects of a direct homogenization procedure for electro-mechanically coupled problems", Proceedings in Applied Mathematics and Mechanics. Vol. 8, pp. 10433-10434. BibTeX: @article{KeiSch:2008:aoa, author = {M.-A. Keip and J. Schröder}, title = {Aspects of a direct homogenization procedure for electro-mechanically coupled problems}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2008}, volume = {8}, pages = {10433--10434} }  Müller, R., Schröder, J. & Lupascu, D.C. (2008), "Thermodynamic consistent modelling of defects and microstructures in ferroelectrics", GAMM--Mitteilungen. Vol. 31, pp. 133-150. BibTeX: @article{MueSchLup:2008:tcm, author = {R. Müller and J. Schröder and D.C. Lupascu}, title = {Thermodynamic consistent modelling of defects and microstructures in ferroelectrics}, journal = {GAMM--Mitteilungen}, year = {2008}, volume = {31}, pages = {133--150} }  Schröder, J. & Balzani, D. (2008), "Modeling of finite elasto-plasticity in dp-steels by discrete multiscale simulations", In Contribution to the 3rd Greek--Serbian Symposium on Recent Advances in Mechanics. BibTeX: @conference{SchBal:2008:mof, author = {J. Schröder and D. Balzani}, title = {Modeling of finite elasto-plasticity in dp-steels by discrete multiscale simulations}, booktitle = {Contribution to the 3rd Greek--Serbian Symposium on Recent Advances in Mechanics}, year = {2008} }  Schröder, J., Balzani, D., Richter, H., Schmitz, H.P. & Kessler, L. (2008), "Simulation of microheterogeneous steels based on a discrete multiscale approach", In Proceedings of the 7th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes., pp. 379-383. BibTeX: @inproceedings{SchBalRicSchKes:2008:som, author = {J. Schröder and D. Balzani and H. Richter and H P. Schmitz and L. Kessler}, title = {Simulation of microheterogeneous steels based on a discrete multiscale approach}, booktitle = {Proceedings of the 7th International Conference and Workshop on Numerical Simulation of 3D Sheet Metal Forming Processes}, year = {2008}, pages = {379--383} }  Schwarz, A., Kampen, A. & Schröder, J. (2008), "On the construction of Raviart--Thomas finite element spaces". Institut für Mechanik, Universität Duisburg-EssenInstitut für Mechanik, Universität Duisburg-Essen, Technical Report 39, 2008. BibTeX: @techreport{SchKamSch:2008:otc, author = {A. Schwarz and A. Kampen and J. Schröder}, title = {On the construction of Raviart--Thomas finite element spaces}, school = {Institut für Mechanik, Universität Duisburg-Essen}, year = {2008}, number = {39} }  Schröder, J. & Keip, M.-A. (2008), "Aus Liebe zum Detail -- Funktionskeramiken unter dem numerischen Mikroskop", In Essener Unikate 33: Mathematik -- eine lebendige Wissenschaft. Universität Duisburg-Essen. BibTeX: @incollection{SchKei:2008:alz, author = {J. Schröder and M.-A. Keip}, title = {Aus Liebe zum Detail -- Funktionskeramiken unter dem numerischen Mikroskop}, booktitle = {Essener Unikate 33: Mathematik -- eine lebendige Wissenschaft}, publisher = {Universität Duisburg-Essen}, year = {2008} }  Schröder, J., Neff, P. & Ebbing, V. (2008), "Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors", Journal of the Mechanics and Physics of Solids. Vol. 56, pp. 3486-3506. BibTeX: @article{SchNefEbb:2008:ape, author = {J. Schröder and P. Neff and V. Ebbing}, title = {Anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors}, journal = {Journal of the Mechanics and Physics of Solids}, year = {2008}, volume = {56}, pages = {3486--3506} }  Schröder, J., Neff, P. & Ebbing, V. (2008), "Polyconvex energies for trigonal, tetragonal and cubic symmetry groups", In IUTAM--Symposium on Variational Concepts with Applications to the Mechanics of Materials., pp. 221-232. BibTeX: @inproceedings{SchNefEbb:2008:pef, author = {J. Schröder and P. Neff and V. Ebbing}, title = {Polyconvex energies for trigonal, tetragonal and cubic symmetry groups}, booktitle = {IUTAM--Symposium on Variational Concepts with Applications to the Mechanics of Materials}, year = {2008}, pages = {221--232} }  Schwarz, A. & Schröder, J. (2008), "An asymmetric mixed finite element for incompressible elasticity based on a modified least-squares formulation", Proceedings in Applied Mathematics and Mechanics. Vol. 8, pp. 10341-10342. BibTeX: @article{SchSch:2008:aam, author = {A. Schwarz and J. Schröder}, title = {An asymmetric mixed finite element for incompressible elasticity based on a modified least-squares formulation}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2008}, volume = {8}, pages = {10341--10342} }  Balzani, D., Klawonn, A., Rheinbach, O., Schröder, J. & Brands, D. (2007), "Simulation of arterial walls using FETI domain decomposition methods", In Proceedings of the ECCOMAS Conference: Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering., pp. 104-105. BibTeX: @inproceedings{BalKlaRheSchBra:2007:soa, author = {D. Balzani and A. Klawonn and O. Rheinbach and J. Schröder and D. Brands}, title = {Simulation of arterial walls using FETI domain decomposition methods}, booktitle = {Proceedings of the ECCOMAS Conference: Modelling of Heterogeneous Materials with Applications in Construction and Biomedical Engineering}, year = {2007}, pages = {104--105} }  Balzani, D., Schröder, J., Brands, D., Klawonn, A. & Rheinbach, O. (2007), "Computer simulation of damage in overstretched atherosclerotic arteries", In Proceedings of the III International Congress on Computational Bioengineering., pp. 209-214. BibTeX: @inproceedings{BalSchBraKlaRhe:2007:cso, author = {D. Balzani and J. Schröder and D. Brands and A. Klawonn and O. Rheinbach}, title = {Computer simulation of damage in overstretched atherosclerotic arteries}, booktitle = {Proceedings of the III International Congress on Computational Bioengineering}, year = {2007}, pages = {209--214} }  Balzani, D., Schröder, J. & Gross, D. (2007), "Numerical simulation of residual stresses in arterial walls", Computational Materials Science. Vol. 39, pp. 117-123. BibTeX: @article{BalSchGro:2007:nso, author = {D. Balzani and J. Schröder and D. Gross}, title = {Numerical simulation of residual stresses in arterial walls}, journal = {Computational Materials Science}, year = {2007}, volume = {39}, pages = {117--123} }  Brands, D., Balzani, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2007), "Aspects of modeling and large scale simulation of arterial walls", In ACME 2007 -- Computational Mechanics in the UK: 2007. Glasgow, Scotland, April, 2007. BibTeX: @conference{BraBalKlaRheSch:2007:aom, author = {D. Brands and D. Balzani and A. Klawonn and O. Rheinbach and J. Schröder}, title = {Aspects of modeling and large scale simulation of arterial walls}, booktitle = {ACME 2007 -- Computational Mechanics in the UK: 2007}, year = {2007} }  Brands, D., Balzani, D., Rheinbach, A.K.O. & Schröder, J. (2007), "Large scale simulation of arterial walls: mechanical modeling", In ICIAM--GAMM 2007. Zürich, Switzerland, Juli, 2007. BibTeX: @conference{BraBalKlaRheSch:2007:lss, author = {D. Brands and D. Balzani and A. Klawonn O. Rheinbach and J. Schröder}, title = {Large scale simulation of arterial walls: mechanical modeling}, booktitle = {ICIAM--GAMM 2007}, year = {2007} }  Brands, D., Balzani, D., Klawonn, A., Rheinbach, O. & Schröder, J. (2007), "Modeling and computational aspects of arterial walls", In COMPLAS 2007. Barcelona, Spain, September, 2007. BibTeX: @conference{BraBalKlaRheSch:2007:mac, author = {D. Brands and D. Balzani and A. Klawonn and O. Rheinbach and J. Schröder}, title = {Modeling and computational aspects of arterial walls}, booktitle = {COMPLAS 2007}, year = {2007} }  Ebbing, V., Schröder, J. & Neff, P. (2007), "On the construction of anisotropic polyconvex energies", Proceedings in Applied Mathematics and Mechanics. Vol. 7, pp. 4060009-4060010. BibTeX: @article{EbbSchNef:2007:otc, author = {V. Ebbing and J. Schröder and P. Neff}, title = {On the construction of anisotropic polyconvex energies}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2007}, volume = {7}, pages = {4060009--4060010} }  Rheinbach, O., Klawonn, A., Schröder, J., Balzani, D. & Brands, D. (2007), "Simulation of arterial walls: an algebraic interface to iterative substructuring", In Proceedings of the III International Congress on Computational Bioengineering., pp. 51-56. BibTeX: @inproceedings{RheKlaSchBalBra:2007:soa, author = {O. Rheinbach and A. Klawonn and J. Schröder and D. Balzani and D. Brands}, title = {Simulation of arterial walls: an algebraic interface to iterative substructuring}, booktitle = {Proceedings of the III International Congress on Computational Bioengineering}, year = {2007}, pages = {51--56} }  Schröder, J., Klawonn, A., Balzani, D., Rheinbach, O. & Brands, D. (2007), "On mechanical modeling of arterial walls and parallel solution strategies", In Proceedings of the 2nd GAMM Seminar on Continuum Biomechanics., pp. 97-107. BibTeX: @inproceedings{SchKlaBalRheBra:2007:omm, author = {J. Schröder and A. Klawonn and D. Balzani and O. Rheinbach and D. Brands}, title = {On mechanical modeling of arterial walls and parallel solution strategies}, booktitle = {Proceedings of the 2nd GAMM Seminar on Continuum Biomechanics}, year = {2007}, pages = {97--107} }  Schröder, J., Romanowski, H. & Kurzhöfer, I. (2007), "A computational meso-macro transition procedure for electro-mechanical coupled ceramics". Institut für Mechanik, Fakultät Ingenieurwissenschaften, Abteilung Bauwissenschaften, Universität Duisburg-EssenInstitut für Mechanik, Fakultät Ingenieurwissenschaften, Abteilung Bauwissenschaften, Universität Duisburg-Essen, Technical Report 5, 2007. BibTeX: @techreport{SchRomKur:2007:acm, author = {J. Schröder and H. Romanowski and I. Kurzhöfer}, title = {A computational meso-macro transition procedure for electro-mechanical coupled ceramics}, school = {Institut für Mechanik, Fakultät Ingenieurwissenschaften, Abteilung Bauwissenschaften, Universität Duisburg-Essen}, year = {2007}, number = {5} }  Schwarz, A. & Schröder, J. (2007), "Least-squares mixed finite elements with applications to anisotropic elasticity and viscoplasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 7, pp. 4040043-4040044. BibTeX: @article{SchSch:2007:lmf, author = {A. Schwarz and J. Schröder}, title = {Least-squares mixed finite elements with applications to anisotropic elasticity and viscoplasticity}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2007}, volume = {7}, pages = {4040043-4040044} }  Balzani, D., Neff, P., Schröder, J. & Holzapfel, G.A. (2006), "A polyconvex framework for soft biological tissues. Adjustment to experimental data", International Journal of Solids and Structures. Vol. 43, pp. 6052-6070. BibTeX: @article{BalNefSchHol:2006:apf, author = {D. Balzani and P. Neff and J. Schröder and G.A. Holzapfel}, title = {A polyconvex framework for soft biological tissues. Adjustment to experimental data}, journal = {International Journal of Solids and Structures}, year = {2006}, volume = {43}, pages = {6052--6070} }  Balzani, D., Schröder, J. & Gross, D. (2006), "Computer simulation of anisotropic damage and residual stresses in atherosclerotic arteries", In Contribution to the III European Conference on Computational Mechanics (ECCM III), Solids, Structures and Coupled Problems in Engineering. BibTeX: @conference{BalSchGro:2006:cso, author = {D. Balzani and J. Schröder and D. Gross}, title = {Computer simulation of anisotropic damage and residual stresses in atherosclerotic arteries}, booktitle = {Contribution to the III European Conference on Computational Mechanics (ECCM III), Solids, Structures and Coupled Problems in Engineering}, year = {2006} }  Balzani, D., Schröder, J. & Gross, D. (2006), "Modeling of residual stresses and anisotropic damage in arterial walls", Proceedings in Applied Mathematics and Mechanics. Vol. 6, pp. 127-128. BibTeX: @article{BalSchGro:2006:mor, author = {D. Balzani and J. Schröder and D. Gross}, title = {Modeling of residual stresses and anisotropic damage in arterial walls}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2006}, volume = {6}, pages = {127--128} }  Balzani, D., Schröder, J. & Gross, D. (2006), "Simulation of residual stresses and discontinuous damage in arterial walls", Acta Biomaterialia. Vol. 2, pp. 609-618. BibTeX: @article{BalSchGro:2006:sor, author = {D. Balzani and J. Schröder and D. Gross}, title = {Simulation of residual stresses and discontinuous damage in arterial walls}, journal = {Acta Biomaterialia}, year = {2006}, volume = {2}, pages = {609--618} }  Hilgert, O., Schröder, J. & Löblein, J. (2006), "Numerical simulation of crack growth", Proceedings in Applied Mathematics and Mechanics. Vol. 6, pp. 171-172. BibTeX: @article{HilSchLoe:2006:nso, author = {O. Hilgert and J. Schröder and J. Löblein}, title = {Numerical simulation of crack growth}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2006}, volume = {6}, pages = {171--172} }  Kurzhöfer, I. & Schröder, J. (2006), "A hybrid element formulation for electromechanical problems", Proceedings in Applied Mathematics and Mechanics. Vol. 6, pp. 451-452. BibTeX: @article{KurSch:2006:ahe, author = {I. Kurzhöfer and J. Schröder}, title = {A hybrid element formulation for electromechanical problems}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2006}, volume = {6}, pages = {451--452} }  Kurzhöfer, I., Schröder, J. & Romanowski, H. (2006), "Simulation of the ferroelectric hysteresis using a hybrid finite element formulation", In Contribution to the III European Conference on Computational Mechanics (ECCM III), Solids, Structures and Coupled Problems in Engineering. BibTeX: @conference{KurSchRom:2006:sot, author = {I. Kurzhöfer and J. Schröder and H. Romanowski}, title = {Simulation of the ferroelectric hysteresis using a hybrid finite element formulation}, booktitle = {Contribution to the III European Conference on Computational Mechanics (ECCM III), Solids, Structures and Coupled Problems in Engineering}, year = {2006} }  Romanowski, H. & Schröder, J. (2006), "Aspects of the simulation of electro-mechanical coupling effects", In GAMM Jahrestagung 2006. Berlin, Germany, März, 2006. BibTeX: @conference{RomSch:2006:aots, author = {H. Romanowski and J. Schröder}, title = {Aspects of the simulation of electro-mechanical coupling effects}, booktitle = {GAMM Jahrestagung 2006}, year = {2006} }  Schröder, J. & Balzani, D. (2006), "Simplified multiphase modeling of steel -- theoretical overview". Institut für Mechanik, Fachbereich Bauwissenschaften, Universität Duisburg-EssenInstitut für Mechanik, Fachbereich Bauwissenschaften, Universität Duisburg-Essen, Technical Report 24, 2006. BibTeX: @techreport{SchBal:2006:smm, author = {J. Schröder and D. Balzani}, title = {Simplified multiphase modeling of steel -- theoretical overview}, school = {Institut für Mechanik, Fachbereich Bauwissenschaften, Universität Duisburg-Essen}, year = {2006}, number = {24} }  Schröder, J. & Neff, P. (2006), "Polyconvex anisotropic hyperelastic energies", In Contribution to the III European Conference on Computational Mechanics (ECCM III), Solids, Structures and Coupled Problems in Engineering. BibTeX: @conference{SchNef:2006:pah, author = {J. Schröder and P. Neff}, title = {Polyconvex anisotropic hyperelastic energies}, booktitle = {Contribution to the III European Conference on Computational Mechanics (ECCM III), Solids, Structures and Coupled Problems in Engineering}, year = {2006} }  Schwarz, A. & Schröder, J. (2006), "A least square mixed finite element for plane elasticity", Proceedings in Applied Mathematics and Mechanics. Vol. 6, pp. 265-266. BibTeX: @article{SchSch:2006:als, author = {A. Schwarz and J. Schröder}, title = {A least square mixed finite element for plane elasticity}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2006}, volume = {6}, pages = {265--266} }  Balzani, D., Schröder, J. & Gross, D. (2005), "Modeling of anisotropic damage in arterial walls", Proceedings in Applied Mathematics and Mechanics. Vol. 5, pp. 287-288. BibTeX: @article{BalSchGro:2005:moad, author = {D. Balzani and J. Schröder and D. Gross}, title = {Modeling of anisotropic damage in arterial walls}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2005}, volume = {5}, pages = {287-288} }  Balzani, D., Schröder, J. & Gross, D. (2005), "Modeling of anisotropic hyperelasticity and discontinuous damage in arterial walls based on polyconvex stored energy functions", In Third MIT Conference on Computational Fluid and Solid Mechanics. Boston, USA, Juni, 2005. , pp. 55-59. BibTeX: @conference{BalSchGro:2005:moaha, author = {D. Balzani and J. Schröder and D. Gross}, title = {Modeling of anisotropic hyperelasticity and discontinuous damage in arterial walls based on polyconvex stored energy functions}, booktitle = {Third MIT Conference on Computational Fluid and Solid Mechanics}, year = {2005}, pages = {55--59} }  Balzani, D., Schröder, J., Gross, D. & Neff, P. (2005), "Modeling of anisotropic damage in arterial walls based on polyconvex stored energy functions", In Eighth international conference on computational plasticity 2005. Barcelona, Spain, September, 2005. , pp. 802-805. BibTeX: @conference{BalSchGroNef:2005:moad, author = {D. Balzani and J. Schröder and D. Gross and P. Neff}, title = {Modeling of anisotropic damage in arterial walls based on polyconvex stored energy functions}, booktitle = {Eighth international conference on computational plasticity 2005}, year = {2005}, pages = {802--805} }  Hilgert, O., Schröder, J. & Löblein, J. (2005), "A finite element approach for the simulation of quasi-brittle failure", Proceedings in Applied Mathematics and Mechanics. Vol. 5, pp. 335-336. BibTeX: @article{HilSchLoe:2005:afe, author = {O. Hilgert and J. Schröder and J. Löblein}, title = {A finite element approach for the simulation of quasi-brittle failure}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2005}, volume = {5}, pages = {335-336} }  Kurzhöfer, I., Schröder, J. & Romanowski, H. (2005), "Simulation of polycrystalline ferroelectrics based on discrete orientation distribution functions", Proceedings in Applied Mathematics and Mechanics. Vol. 5, pp. 307-308. BibTeX: @article{KurSchRom:2005:sop, author = {I. Kurzhöfer and J. Schröder and H. Romanowski}, title = {Simulation of polycrystalline ferroelectrics based on discrete orientation distribution functions}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2005}, volume = {5}, pages = {307-308} }  Löblein, J. & Schröder, J. (2005), "Numerical simulation of crack problems using triangular finite elements with embedded interfaces", Computational Materials Science. Vol. 32, pp. 435-445. BibTeX: @article{LoeSch:2005:nso, author = {J. Löblein and J. Schröder}, title = {Numerical simulation of crack problems using triangular finite elements with embedded interfaces}, journal = {Computational Materials Science}, year = {2005}, volume = {32}, pages = {435--445} }  Romanowski, H. & Schröder, J. (2005), "Aspects of the simulation of the ferroelectric hysteresis", Proceedings in Applied Mathematics and Mechanics. Vol. 5, pp. 315-316. BibTeX: @article{RomSch:2005:aot, author = {H. Romanowski and J. Schröder}, title = {Aspects of the simulation of the ferroelectric hysteresis}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2005}, volume = {5}, pages = {315-316} }  Romanowski, H. & Schröder, J. (2005), "A thermodynamically consistent formulation for transversely isotropic nonlinear ferroelectric hysteresis", In Contribution to the third MIT-Conference on Solid and Fluid Mechanics., pp. 454-458. Elsevier. BibTeX: @inproceedings{RomSch:2005:atc, author = {H. Romanowski and J. Schröder}, title = {A thermodynamically consistent formulation for transversely isotropic nonlinear ferroelectric hysteresis}, booktitle = {Contribution to the third MIT-Conference on Solid and Fluid Mechanics}, publisher = {Elsevier}, year = {2005}, pages = {454-458} }  Romanowski, H. & Schröder, J. (2005), "Coordinate invariant modelling of the ferroelectric hysteresis with a thermodynamically consistent framework. a mesoscopic approach", In Trends in applications of mathematics to mechanics. , pp. 419-428. Shaker. BibTeX: @incollection{RomSch:2005:cim, author = {H. Romanowski and J. Schröder}, title = {Coordinate invariant modelling of the ferroelectric hysteresis with a thermodynamically consistent framework. a mesoscopic approach}, booktitle = {Trends in applications of mathematics to mechanics}, publisher = {Shaker}, year = {2005}, pages = {419--428} }  Schröder, J. (2005), "A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measure". Mathematisches Forschungsinstitut OberwolfachMathematisches Forschungsinstitut Oberwolfach, Technical Report 52, 2005. BibTeX: @techreport{Sch:2005:aso, author = {J. Schröder}, title = {A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measure}, school = {Mathematisches Forschungsinstitut Oberwolfach}, year = {2005}, number = {52} }  Schröder, J. (2005), "Computational modeling of ferroelectric ceramics". German Association for Computational MechanicsGerman Association for Computational Mechanics, Technical Report 3, 2005. BibTeX: @techreport{Sch:2005:cmo, author = {J. Schröder}, title = {Computational modeling of ferroelectric ceramics}, school = {German Association for Computational Mechanics}, year = {2005}, number = {3}, note = {Page 14--18} }  Schröder, J., Balzani, D. & Gross, D. (2005), "Aspects of the modeling and computer simulation of soft tissues: applications to arterial walls", Materialwissenschaft und Werkstofftechnik. Vol. 36, pp. 795-801. BibTeX: @article{SchBalGro:2005:aot, author = {J. Schröder and D. Balzani and D. Gross}, title = {Aspects of the modeling and computer simulation of soft tissues: applications to arterial walls}, journal = {Materialwissenschaft und Werkstofftechnik}, year = {2005}, volume = {36}, pages = {795-801} }  Schröder, J. & Löblein, J. (2005), "A geometric nonlinear triangular finite element with an embedded discontinuity for the simulation of quasi-brittle fracture", Computational Mechanics. Vol. 36, pp. 139-157. BibTeX: @article{SchLoe:2005:agn, author = {J. Schröder and J. Löblein}, title = {A geometric nonlinear triangular finite element with an embedded discontinuity for the simulation of quasi-brittle fracture}, journal = {Computational Mechanics}, year = {2005}, volume = {36}, pages = {139--157} }  Schröder, J., Neff, P. & Balzani, D. (2005), "A variational approach for materially stable anisotropic hyperelasticity", International Journal of Solids and Structures. Vol. 42, pp. 4352-4371. BibTeX: @article{SchNefBal:2005:ava, author = {J. Schröder and P. Neff and D. Balzani}, title = {A variational approach for materially stable anisotropic hyperelasticity}, journal = {International Journal of Solids and Structures}, year = {2005}, volume = {42}, pages = {4352--4371} }  Schröder, J. & Romanowski, H. (2005), "A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate--invariant setting", Archive of Applied Mechanics. Vol. 74, pp. 863-877. BibTeX: @article{SchRom:2005:atc, author = {J. Schröder and H. Romanowski}, title = {A thermodynamically consistent mesoscopic model for transversely isotropic ferroelectric ceramics in a coordinate--invariant setting}, journal = {Archive of Applied Mechanics}, year = {2005}, volume = {74}, pages = {863--877} }  Schröder, J., Romanowski, H. & Kurzhöfer, I. (2005), "Meso-macro-modeling of nonlinear ferroelectric ceramics", In Online Proceedings of the 5th International Conference on Computation of Shell and Spatial Structures. BibTeX: @inproceedings{SchRomKur:2005:mof, author = {J. Schröder and H. Romanowski and I. Kurzhöfer}, title = {Meso-macro-modeling of nonlinear ferroelectric ceramics}, booktitle = {Online Proceedings of the 5th International Conference on Computation of Shell and Spatial Structures}, year = {2005} }  Balzani, D., Schröder, J. & Gross, D. (2004), "A simple model for anisotropic damage with applications to soft tissues", Proceedings in Applied Mathematics and Mechanics. Vol. 4, pp. 236-237. BibTeX: @article{BalSchGro:2004:asm, author = {D. Balzani and J. Schröder and D. Gross}, title = {A simple model for anisotropic damage with applications to soft tissues}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2004}, volume = {4}, pages = {236-237} }  Balzani, D., Schröder, J., Gross, D. & Neff, P. (2004), "Modellierung von Hyperelastizität und Anisotroper Diskontinuierlicher Schädigung in Biologischen Geweben", In Beitrag zum Symposium 2004 der Austrian Society of Biomedical Engineering mit dem Thema: Biomedizinische Technik. BibTeX: @conference{BalSchGroNef:2004:mvh, author = {D. Balzani and J. Schröder and D. Gross and P. Neff}, title = {Modellierung von Hyperelastizität und Anisotroper Diskontinuierlicher Schädigung in Biologischen Geweben}, booktitle = {Beitrag zum Symposium 2004 der Austrian Society of Biomedical Engineering mit dem Thema: Biomedizinische Technik}, year = {2004} }  Löblein, J. & Schröder, J. (2004), "A numerical approach for the simulation of ductile fracture with embedded discontinuities", Proceedings in Applied Mathematics and Mechanics. Vol. 4, pp. 346-347. BibTeX: @article{LoeSch:2004:ana, author = {J. Löblein and J. Schröder}, title = {A numerical approach for the simulation of ductile fracture with embedded discontinuities}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2004}, volume = {4}, pages = {346-347} }  Romanowski, H. & Schröder, J. (2004), "A thermodynamic consistent model for an assumed transversely isotropic piezoceramic with nonlinear ferroelectric hysteresis", Proceedings in Applied Mathematics and Mechanics. Vol. 4, pp. 268-269. BibTeX: @article{RomSch:2004:atc, author = {H. Romanowski and J. Schröder}, title = {A thermodynamic consistent model for an assumed transversely isotropic piezoceramic with nonlinear ferroelectric hysteresis}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2004}, volume = {4}, pages = {268-269} }  Schröder, J. & Gross, D. (2004), "Invariant formulation of the electro-mechanical enthalpy function of transversely isotropic piezo-electric materials", Archive of Applied Mechanics. Vol. 73, pp. 533-552. BibTeX: @article{SchGro:2004:ifo, author = {J. Schröder and D. Gross}, title = {Invariant formulation of the electro-mechanical enthalpy function of transversely isotropic piezo-electric materials}, journal = {Archive of Applied Mechanics}, year = {2004}, volume = {73}, pages = {533--552} }  Schröder, J. & Romanowski, H. (2004), "A simple coordinate invariant thermodynamic consistent model for nonlinear electro-mechanical coupled ferroelectrica", In Proceedings of ECCOMAS 2004. BibTeX: @inproceedings{SchRom:2004:asc, author = {J. Schröder and H. Romanowski}, title = {A simple coordinate invariant thermodynamic consistent model for nonlinear electro-mechanical coupled ferroelectrica}, booktitle = {Proceedings of ECCOMAS 2004}, year = {2004} }  Löblein, J. & Schröder, J. (2003), "Aspects of the computational modeling of discontinuities with enriched triangular finite elements", Proceedings in Applied Mathematics and Mechanics. Vol. 3, pp. 300-301. BibTeX: @article{LoeSch:2003:aot, author = {J. Löblein and J. Schröder}, title = {Aspects of the computational modeling of discontinuities with enriched triangular finite elements}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2003}, volume = {3}, pages = {300-301} }  Löblein, J. & Schröder, J. (2003), "A study on finite orthotropic plasticity using generalized measures", Proceedings in Applied Mathematics and Mechanics. Vol. 2, pp. 196-197. BibTeX: @article{LoeSch:2003:aso, author = {J. Löblein and J. Schröder}, title = {A study on finite orthotropic plasticity using generalized measures}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2003}, volume = {2}, pages = {196--197} }  Löblein, J. & Schröder, J. (2003), "Numerical aspects of a triangular finite element with an embedded discontinuity", In Proceedings of the second MIT-conference on Computational Solid and Fluid Mechanics., pp. 422-425. Elsevier Science Ltd.. BibTeX: @inproceedings{LoeSch:2003:nao, author = {J. Löblein and J. Schröder}, title = {Numerical aspects of a triangular finite element with an embedded discontinuity}, booktitle = {Proceedings of the second MIT-conference on Computational Solid and Fluid Mechanics}, publisher = {Elsevier Science Ltd.}, year = {2003}, pages = {422--425} }  Löblein, J., Schröder, J. & Gruttmann, F. (2003), "A model for finite orthotropic plasticity using generalized stress-strain measures", In Proceedings in Advanced Problems in Mechanics APM--2002 in St. Petersburg., pp. 435-440. BibTeX: @inproceedings{LoeSchGru:2003:amf, author = {J. Löblein and J. Schröder and F. Gruttmann}, title = {A model for finite orthotropic plasticity using generalized stress-strain measures}, booktitle = {Proceedings in Advanced Problems in Mechanics APM--2002 in St. Petersburg}, year = {2003}, pages = {435-440} }  Löblein, J., Schröder, J. & Gruttmann, F. (2003), "Application of generalized measures to an orthotropic finite elasto-plasticity model", Computational Materials Science. Vol. 28, pp. 696-703. BibTeX: @article{LoeSchGru:2003:aog, author = {J. Löblein and J. Schröder and F. Gruttmann}, title = {Application of generalized measures to an orthotropic finite elasto-plasticity model}, journal = {Computational Materials Science}, year = {2003}, volume = {28}, pages = {696--703} }  Romanowski, H. & Schröder, J. (2003), "Formulierung anisotroper, elektro-mechanisch gekoppelter Materialgleichungen im Rahmen der Invariantentheorie", Proceedings in Applied Mathematics and Mechanics. Vol. 2, pp. 170-171. BibTeX: @article{RomSch:2003:fae, author = {H. Romanowski and J. Schröder}, title = {Formulierung anisotroper, elektro-mechanisch gekoppelter Materialgleichungen im Rahmen der Invariantentheorie}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2003}, volume = {2}, pages = {170--171} }  Romanowski, H. & Schröder, J. (2003), "On the modeling of nonlinear electro-mechanical coupled ferroelectrica", Proceedings in Applied Mathematics and Mechanics. Vol. 3, pp. 216-217. BibTeX: @article{RomSch:2003:otm, author = {H. Romanowski and J. Schröder}, title = {On the modeling of nonlinear electro-mechanical coupled ferroelectrica}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2003}, volume = {3}, pages = {216-217} }  Schröder, J. & Neff, P. (2003), "Construction of polyconvex, anisotropic free-energy functions", Proceedings in Applied Mathematics and Mechanics. Vol. 2, pp. 172-173. BibTeX: @article{SchNef:2003:cop, author = {J. Schröder and P. Neff}, title = {Construction of polyconvex, anisotropic free-energy functions}, journal = {Proceedings in Applied Mathematics and Mechanics}, year = {2003}, volume = {2}, pages = {172--173} }  Schröder, J. & Neff, P. (2003), "Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions", International Journal of Solids and Structures. Vol. 40, pp. 401-445. BibTeX: @article{SchNef:2003:ifo, author = {J. Schröder and P. Neff}, title = {Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functions}, journal = {International Journal of Solids and Structures}, year = {2003}, volume = {40}, pages = {401--445} }  Schröder, J. & Neff, P. (2003), "On the construction of polyconvex anisotropic free energy functions", In IUTAM-symposium on Computational Mechanics of Solid Materials at Large Strains.(171-180), pp. 171-180. BibTeX: @inproceedings{SchNef:2003:otc, author = {J. Schröder and P. Neff}, title = {On the construction of polyconvex anisotropic free energy functions}, booktitle = {IUTAM-symposium on Computational Mechanics of Solid Materials at Large Strains}, year = {2003}, number = {171--180}, pages = {171--180} }  Miehe, C., Schröder, J. & Bayreuther, C. (2002), "On the homogenization analysis of composite materials based on discretized fluctuations on the micro-structure", Acta Mechanica. Vol. 155, pp. 1-16. BibTeX: @article{MieSchBay:2002:oth, author = {C. Miehe and J. Schröder and C. Bayreuther}, title = {On the homogenization analysis of composite materials based on discretized fluctuations on the micro-structure}, journal = {Acta Mechanica}, year = {2002}, volume = {155}, pages = {1--16} }  Miehe, C., Schröder, J. & Becker, M. (2002), "Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction", Computer Methods in Applied Mechanics and Engineering. Vol. 191, pp. 4971-5005. BibTeX: @article{MieSchBec:2002:cha, author = {C. Miehe and J. Schröder and M. Becker}, title = {Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {2002}, volume = {191}, pages = {4971--5005} }  Schröder, J., Gruttmann, F. & Löblein, J. (2002), "A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures", Computational Mechanics. Vol. 30, pp. 48-64. BibTeX: @article{SchGruLoe:2002:aso, author = {J. Schröder and F. Gruttmann and J. Löblein}, title = {A simple orthotropic finite elasto-plasticity model based on generalized stress-strain measures}, journal = {Computational Mechanics}, year = {2002}, volume = {30}, pages = {48--64} }  Schröder, J. & Neff, P. (2002), "Application of polyconvex anisotropic free energies to soft tissues", In Contribution to the fifth World Congress on Computational Mechanics (WCCM V). BibTeX: @incollection{SchNef:2002:aop, author = {J. Schröder and P. Neff}, title = {Application of polyconvex anisotropic free energies to soft tissues}, booktitle = {Contribution to the fifth World Congress on Computational Mechanics (WCCM V)}, year = {2002} }  Bayreuther, C., Miehe, C. & Schröder, J. (2001), "Alternative Mehrgitter-Transferoperatoren für heterogene Strukturen", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 81, pp. 385-386. BibTeX: @article{BayMieSch:2001:amf, author = {C. Bayreuther and C. Miehe and J. Schröder}, title = {Alternative Mehrgitter-Transferoperatoren für heterogene Strukturen}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {2001}, volume = {81}, pages = {385--386} }  Miehe, C. & Schröder, J. (2001), "A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity", International Journal for Numerical Methods in Engineering. Vol. 50, pp. 273-298. BibTeX: @article{MieSch:2001:acs, author = {C. Miehe and J. Schröder}, title = {A comparative study of stress update algorithms for rate-independent and rate-dependent crystal plasticity}, journal = {International Journal for Numerical Methods in Engineering}, year = {2001}, volume = {50}, pages = {273--298} }  Miehe, C. & Schröder, J. (2001), "Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element", International Journal for Numerical Methods in Engineering. Vol. 50, pp. 1801-1823. BibTeX: @article{MieSch:2001:eam, author = {C. Miehe and J. Schröder}, title = {Energy and momentum conserving elastodynamics of a nonlinear brick-type mixed finite shell element}, journal = {International Journal for Numerical Methods in Engineering}, year = {2001}, volume = {50}, pages = {1801--1823} }  Schröder, J. & Miehe, C. (2001), "Elastic stability problems in micro-macro-transitions", In Proceedings of the first MIT-Conference on Solid and Fluid Mechanics., pp. 468-470. Elsevier Science Ltd.. BibTeX: @inproceedings{SchMie:2001:esp, author = {J. Schröder and C. Miehe}, title = {Elastic stability problems in micro-macro-transitions}, booktitle = {Proceedings of the first MIT-Conference on Solid and Fluid Mechanics}, publisher = {Elsevier Science Ltd.}, year = {2001}, pages = {468--470} }  Schröder, J. & Miehe, C. (2001), "Trends in computational structural mechanics", In Stability problems in micro-macro-transitions: analysis of elastic micro-structures. , pp. 218-227. BibTeX: @incollection{SchMie:2001:spi, author = {J. Schröder and C. Miehe}, title = {Trends in computational structural mechanics}, booktitle = {Stability problems in micro-macro-transitions: analysis of elastic micro-structures}, year = {2001}, pages = {218--227} }  Schotte, J., Miehe, C. & Schröder, J. (2001), "Texturbildung in Schalenstrukturen aus polykristallinen Metallen", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 81, pp. 361-362. BibTeX: @article{SchMieSch:2001:tis, author = {J. Schotte and C. Miehe and J. Schröder}, title = {Texturbildung in Schalenstrukturen aus polykristallinen Metallen}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {2001}, volume = {81}, pages = {361--362} }  Bayreuther, C., Miehe, C. & Schröder, J. (2000), "Aspects of homogenization techniques and multigrid solving", In Multifield Problems. State of the Art., pp. 88-95. Springer-Verlag, Berlin. BibTeX: @inproceedings{BayMieSch:2000:aoh, author = {C. Bayreuther and C. Miehe and J. Schröder}, title = {Aspects of homogenization techniques and multigrid solving}, booktitle = {Multifield Problems. State of the Art}, publisher = {Springer-Verlag, Berlin}, year = {2000}, pages = {88--95} }  Bayreuther, C., Schröder, J. & Miehe, C. (2000), "Konzept zur Bestimmung makroskopischer Moduli linearer Verbundmaterialien", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 80, pp. 373-374. BibTeX: @article{BaySchMie:2000:kzb, author = {C. Bayreuther and J. Schröder and C. Miehe}, title = {Konzept zur Bestimmung makroskopischer Moduli linearer Verbundmaterialien}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {2000}, volume = {80}, pages = {373--374} }  Schröder, J. (2000), "Zu Stabilitätsproblemen bei Mikro--Makro--Übergängen", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 80, pp. 411-412. BibTeX: @article{Sch:2000:zsb, author = {J. Schröder}, title = {Zu Stabilitätsproblemen bei Mikro--Makro--Übergängen}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {2000}, volume = {80}, pages = {411--412} }  Schotte, J., Miehe, C. & Schröder, J. (2000), "Simulation des elasto--plastischen Materialverhaltens dünner Schichten", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 80, pp. 455-456. BibTeX: @article{SchMieSch:2000:sde, author = {J. Schotte and C. Miehe and J. Schröder}, title = {Simulation des elasto--plastischen Materialverhaltens dünner Schichten}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {2000}, volume = {80}, pages = {455--456} }  Miehe, C. & Schröder, J. (1999), "Computational micro-macro-transitions in thermoplastic analysis at finite strains", In IUTAM-Symposium on Micro- and Macrostructural Aspects of Thermoplasticity., pp. 137-146. Kluwer Academic Publishers. BibTeX: @inproceedings{MieSch:1999:cmi, author = {C. Miehe and J. Schröder}, title = {Computational micro-macro-transitions in thermoplastic analysis at finite strains}, booktitle = {IUTAM-Symposium on Micro- and Macrostructural Aspects of Thermoplasticity}, publisher = {Kluwer Academic Publishers}, year = {1999}, pages = {137--146} }  Miehe, C., Schröder, J. & Schotte, J. (1999), "Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials", Computer Methods in Applied Mechanics and Engineering. Vol. 171, pp. 387-418. BibTeX: @article{MieSchSch:1999:cha, author = {C. Miehe and J. Schröder and J. Schotte}, title = {Computational homogenization analysis in finite plasticity. Simulation of texture development in polycrystalline materials}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {1999}, volume = {171}, pages = {387--418} }  Miehe, C., Schotte, J. & Schröder, J. (1999), "Computational micro-macro-transitions and overall moduli in the analysis of polycrystals at large strains", Computational Materials Science. Vol. 16, pp. 372-382. BibTeX: @article{MieSchSch:1999:cma, author = {C. Miehe and J. Schotte and J. Schröder}, title = {Computational micro-macro-transitions and overall moduli in the analysis of polycrystals at large strains}, journal = {Computational Materials Science}, year = {1999}, volume = {16}, pages = {372--382} }  Miehe, C. & Schröder, J. (1998), "Computational micro-macro-transitions in finite thermoplastic analysis of polycrystals", In Theoretische und numerische Methoden in der angewandten Mechanik mit Praxisbeispielen. Universität Hannover (Report Nr. F 98/4), pp. 173-184. BibTeX: @incollection{MieSch:1998:cmm, author = {C. Miehe and J. Schröder}, title = {Computational micro-macro-transitions in finite thermoplastic analysis of polycrystals}, booktitle = {Theoretische und numerische Methoden in der angewandten Mechanik mit Praxisbeispielen}, year = {1998}, number = {Report Nr. F 98/4}, pages = {173--184}, note = {Festschrift zu Ehren von Herrn Prof. E. Stein} }  Miehe, C. & Schröder, J. (1998), "Recent progress in computational plasticity of single crystals at large strains", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 78, pp. 621-622. BibTeX: @article{MieSch:1998:rpi, author = {C. Miehe and J. Schröder}, title = {Recent progress in computational plasticity of single crystals at large strains}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {1998}, volume = {78}, pages = {621--622} }  Miehe, C., Schröder, J. & Schotte, J. (1998), "Texture simulations of polycrystalline materials", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 79, pp. 563-564. BibTeX: @article{MieSchSch:1998:tso, author = {C. Miehe and J. Schröder and J. Schotte}, title = {Texture simulations of polycrystalline materials}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {1998}, volume = {79}, pages = {563--564} }  Schröder, J. & Miehe, C. (1998), "Homogenization analysis of composite materials at large strains", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 79, pp. 563-564. BibTeX: @article{SchMie:1998:hao, author = {J. Schröder and C. Miehe}, title = {Homogenization analysis of composite materials at large strains}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {1998}, volume = {79}, pages = {563--564} }  Schröder, J. & Miehe, C. (1998), "Numerical homogenization analysis of polycrystals", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 78, pp. 721-722. BibTeX: @article{SchMie:1998:nha, author = {J. Schröder and C. Miehe}, title = {Numerical homogenization analysis of polycrystals}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {1998}, volume = {78}, pages = {721--722} }  Miehe, C. & Schröder, J. (1997), "Comparative studies of algorithms for single crystal plasticity", In Proceedings of plasicity 97: the sixth International Symposium on Plasticity and its Current Applications., pp. 261-262. BibTeX: @inproceedings{MieSch:1997:cso, author = {C. Miehe and J. Schröder}, title = {Comparative studies of algorithms for single crystal plasticity}, booktitle = {Proceedings of plasicity 97: the sixth International Symposium on Plasticity and its Current Applications}, year = {1997}, pages = {261--262} }  Miehe, C., Schröder, J. & Schotte, J. (1997), "Computational micro-macro-transitions in thermoplastic analysis of polycrystalline materials", In Mitteilungen aus dem Institut für Mechanik 114, Ruhr Universität Bochum., pp. 119-126. BibTeX: @inproceedings{MieSchSch:1997:cmi, author = {C. Miehe and J. Schröder and J. Schotte}, title = {Computational micro-macro-transitions in thermoplastic analysis of polycrystalline materials}, booktitle = {Mitteilungen aus dem Institut für Mechanik 114, Ruhr Universität Bochum}, year = {1997}, pages = {119--126} }  Schröder, J., Klaas, O., Stein, E. & Miehe, C. (1997), "A physically nonlinear dual mixed finite element formulation", Computer Methods in Applied Mechanics and Engineering. Vol. 144, pp. 77-92. BibTeX: @article{SchKlaSteMie:1997:apn, author = {J. Schröder and O. Klaas and E. Stein and C. Miehe}, title = {A physically nonlinear dual mixed finite element formulation}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {1997}, volume = {144}, pages = {77--92} }  Schröder, J. & Miehe, C. (1997), "Aspects of computational rate independent single crystal plasticity", Computational Materials Science. Vol. 8, pp. 168-176. BibTeX: @article{SchMie:1997:aoc, author = {J. Schröder and C. Miehe}, title = {Aspects of computational rate independent single crystal plasticity}, journal = {Computational Materials Science}, year = {1997}, volume = {8}, pages = {168--176} }  Schröder, J. & Miehe, C. (1997), "Aspects of computational homogenization analysis of polycrystalline materials", In Proceedings of the fifth International Conference on Computational Plasticity. BibTeX: @inproceedings{SchMie:1997:aoch, author = {J. Schröder and C. Miehe}, title = {Aspects of computational homogenization analysis of polycrystalline materials}, booktitle = {Proceedings of the fifth International Conference on Computational Plasticity}, year = {1997} }  Schröder, J. & Miehe, C. (1997), "Computational homogenization analysis of polycrystalline materials", In Plasticity '97: the sixth International Symposium on Plasticity and its Current Applications. Juneau, Alaska, Juli, 1997. BibTeX: @conference{SchMie:1997:chaop, author = {J. Schröder and C. Miehe}, title = {Computational homogenization analysis of polycrystalline materials}, booktitle = {Plasticity '97: the sixth International Symposium on Plasticity and its Current Applications}, year = {1997} }  Schröder, J. (1996), "Theoretische und algorithmische Konzepte zur phänomenologischen Beschreibung anisotropen Materialverhaltens". Universität HannoverUniversität Hannover, Technical Report F 96/3, 1996. BibTeX: @techreport{Sch:1996:tua, author = {J. Schröder}, title = {Theoretische und algorithmische Konzepte zur phänomenologischen Beschreibung anisotropen Materialverhaltens}, school = {Universität Hannover}, year = {1996}, number = {F 96/3} }  Schröder, J. & Miehe, C. (1996), "Theoretical and computational homogenization analysis at small and large strains", Zeitschrift für Angewandte Mathematik und Mechanik. Vol. 77, pp. 307-308. BibTeX: @article{SchMie:1996:tac, author = {J. Schröder and C. Miehe}, title = {Theoretical and computational homogenization analysis at small and large strains}, journal = {Zeitschrift für Angewandte Mathematik und Mechanik}, year = {1996}, volume = {77}, pages = {307--308} }  Stein, E., Miehe, C. & Schröder, J. (1996), "Theorie und Numerik anisotroper Elasto-Plastizität basierend auf Strukturtensoren", In Festschrift zum 60. Geburtstag von Herrn Prof. Dr.-Ing. Eibl. Leitung: Institut für Massivbau und Baustofftechnologie, Universität Karlsruhe, Prof. Dr.-Ing. H.K. Hilsdorf. BibTeX: @incollection{SteMieSch:1996:tun, author = {E. Stein and C. Miehe and J. Schröder}, title = {Theorie und Numerik anisotroper Elasto-Plastizität basierend auf Strukturtensoren}, booktitle = {Festschrift zum 60. Geburtstag von Herrn Prof. Dr.-Ing. Eibl}, publisher = {Leitung: Institut für Massivbau und Baustofftechnologie, Universität Karlsruhe, Prof. Dr.-Ing. H.K. Hilsdorf}, year = {1996} }  Klaas, O., Schröder, J., Stein, E. & Miehe, C. (1995), "A regularized dual mixed element for plane elasticity-implementation and performance of the BDM element", Computer Methods in Applied Mechanics and Engineering. Vol. 121, pp. 201-209. BibTeX: @article{KlaSchSteMie:1995:ard, author = {O. Klaas and J. Schröder and E. Stein and C. Miehe}, title = {A regularized dual mixed element for plane elasticity-implementation and performance of the BDM element}, journal = {Computer Methods in Applied Mechanics and Engineering}, year = {1995}, volume = {121}, pages = {201--209} }  Niekamp, R. & Schröder, J. (1995), "Anwendung der Integralsätze zur Herleitung der Schnittgrößen-Differentialgleichung des Biegebalkens für unstetige Belastungen", Bauingenieur. Vol. 70, pp. 329-330. BibTeX: @article{NieSch:1995:adi, author = {R. Niekamp and J. Schröder}, title = {Anwendung der Integralsätze zur Herleitung der Schnittgrößen-Differentialgleichung des Biegebalkens für unstetige Belastungen}, journal = {Bauingenieur}, year = {1995}, volume = {70}, pages = {329--330} }  Schröder, J. & Miehe, C. (1995), "Numerisches Labor zur Simulation von Verbundmaterialien und Polykristallen", In 5. Workshop: Numerische Methoden der Plastomechanik. Neustadt am Rübenberge, Germany, Juni, 1995. BibTeX: @conference{SchMie:1995:nlzs, author = {J. Schröder and C. Miehe}, title = {Numerisches Labor zur Simulation von Verbundmaterialien und Polykristallen}, booktitle = {5. Workshop: Numerische Methoden der Plastomechanik}, year = {1995} }  Miehe, C. & Schröder, J. (1994), "Post-critical discontinuous localization analysis of small--strain softening elastoplastic solids", Archive of Applied Mechanics. Vol. 64, pp. 267-285. BibTeX: @article{MieSch:1994:pdl, author = {C. Miehe and J. Schröder}, title = {Post-critical discontinuous localization analysis of small--strain softening elastoplastic solids}, journal = {Archive of Applied Mechanics}, year = {1994}, volume = {64}, pages = {267--285} }  Schröder, J. & Miehe, C. (1994), "Numerische Behandlung von Homogenisierungsprozessen zur Beschreibung von Mikro--Makro--Übergängen", In Mitteilungen aus dem Institut für Mechanik, Ruhr-Universität Bochum. BibTeX: @inproceedings{SchMie:1994:nbv, author = {J. Schröder and C. Miehe}, title = {Numerische Behandlung von Homogenisierungsprozessen zur Beschreibung von Mikro--Makro--Übergängen}, booktitle = {Mitteilungen aus dem Institut für Mechanik, Ruhr-Universität Bochum}, year = {1994} } 

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