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FB Mathematik
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45141 Essen
45141 Essen
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Universitätsprofessor/in, Personal FB Mathematik, Campus Essen
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Die folgenden Publikationen sind in der Online-Universitätsbibliographie der Universität Duisburg-Essen verzeichnet. Weitere Informationen finden Sie gegebenenfalls auch auf den persönlichen Webseiten der Person.
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A Linear Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Existence and UniquenessIn: Journal of Elasticity (2023) in pressISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ (Open Access)
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A local regularity result for the relaxed micromorphic model based on inner variationsIn: Journal of Mathematical Analysis and Applications Jg. 519 (2023) Nr. 2,ISSN: 1096-0813; 0022-247XOnline Volltext: dx.doi.org/ (Open Access)
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Analytical solution of the uniaxial extension problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)In: Archive of Applied Mechanics Jg. 93 (2023) Nr. 1: Mechanics of Size-Dependent Materials, S. 5 - 21ISSN: 1432-0681; 0939-1533Online Volltext: dx.doi.org/ (Open Access)
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Cosserat micropolar elasticity : Classical Eringen vs. dislocation formIn: Journal of Mechanics of Materials and Structures (JoMMS) Jg. 18 (2023) Nr. 1, S. 93 - 123ISSN: 1559-3959Online Volltext: dx.doi.org/ (Open Access)
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Existence results for the higher order linear Cosserat shell modelIn: Proceedings in Applied Mathematics and Mechanics (PAMM) Jg. 22 (2023) Nr. 1,ISSN: 1617-7061Online Volltext: dx.doi.org/ (Open Access)
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Linear constrained Cosserat-shell models including terms up to O(h⁵) : Conditional and unconditional existence and uniquenessIn: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Jg. 74 (2023) Nr. 2,ISSN: 1420-9039; 0044-2275Online Volltext: dx.doi.org/ (Open Access)
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Modeling a labyrinthine acoustic metamaterial through an inertiaaugmented relaxed micromorphic approachIn: Mathematics and Mechanics of Solids (MMS) (2023)ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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Size-effects of metamaterial beams subjected to pure bending : On boundary conditions and parameter identification in the relaxed micromorphic modelIn: Computational Mechanics (2023) in pressISSN: 1432-0924; 0178-7675Online Volltext: dx.doi.org/ (Open Access)
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A rank-one convex, nonpolyconvex isotropic function on with compact connected sublevel setsIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics (2022) in pressISSN: 1473-7124; 0308-2105Online Volltext: dx.doi.org/
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Analytical solution of the cylindrical torsion problem for the relaxed micromorphic continuum and other generalized continua (including full derivations)In: Mathematics and Mechanics of Solids (MMS) Jg. 27 (2022) Nr. 3, S. 507 - 553ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Boundary and interface conditions in the relaxed micromorphic model : Exploring finite-size metastructures for elastic wave controlIn: Mathematics and Mechanics of Solids (MMS) Jg. 27 (2022) Nr. 6, S. 1053 - 1068ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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Existence and uniqueness of Rayleigh waves in isotropic elastic Cosserat materials and algorithmic aspectsIn: Wave Motion Jg. 110 (2022)ISSN: 0165-2125; 1878-433XOnline Volltext: dx.doi.org/ (Open Access)
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Lagrange and H(curl, B) based finite element formulations for the relaxed micromorphic modelIn: Computational Mechanics Jg. 70 (2022) Nr. 6, S. 1309 - 1333ISSN: 1432-0924; 0178-7675Online Volltext: dx.doi.org/ (Open Access)
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Lp-trace-free generalized Korn inequalities for incompatible tensor fields in three space dimensionsIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 152 (2022) Nr. 6, S. 1477 - 1508ISSN: 1473-7124; 0308-2105Online Volltext: dx.doi.org/ (Open Access)
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Metamaterial shields for inner protection and outer tuning through a relaxed micromorphic approachIn: Philosophical Transactions of the Royal Society of London A: Mathematical, Physical and Engineering Sciences Jg. 380 (2022) Nr. 2231,ISSN: 1471-2962; 1364-503XOnline Volltext: dx.doi.org/ (Open Access)
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Morrey’s Conjecture for the Planar Volumetric-Isochoric Split : Least Rank-One Convex Energy FunctionsIn: Journal of Nonlinear Science Jg. 32 (2022) Nr. 5,ISSN: 0938-8974; 1432-1467Online Volltext: dx.doi.org/ (Open Access)
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Numerical Approaches for Investigating Quasiconvexity in the Context of Morrey’s ConjectureIn: Journal of Nonlinear Science Jg. 32 (2022) Nr. 6,ISSN: 0938-8974; 1432-1467Online Volltext: dx.doi.org/ (Open Access)
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On [H1]3×3, [H(curl)]3 and H(sym Curl) finite elements for matrix-valued Curl problemsIn: Journal of Engineering Mathematics Jg. 136 (2022) Nr. 1,ISSN: 0022-0833; 1573-2703Online Volltext: dx.doi.org/ (Open Access)
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Polyconvex anisotropic hyperelasticity with neural networksIn: Journal of the Mechanics and Physics of Solids Jg. 159 (2022)ISSN: 0022-5096; 1873-4782Online Volltext: dx.doi.org/ (Open Access)
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Primal and mixed finite element formulations for the relaxed micromorphic modelIn: Computer Methods in Applied Mechanics and Engineering Jg. 399 (2022)ISSN: 0045-7825; 0374-2830Online Volltext: dx.doi.org/ (Open Access)
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Simple shear in nonlinear Cosserat micropolar elasticity : Existence of minimizers, numerical simulations, and occurrence of microstructureIn: Mathematics and Mechanics of Solids (MMS) (2022) in pressISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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The consistent coupling boundary condition for the classical micromorphic model : existence, uniqueness and interpretation of parametersIn: Continuum Mechanics and Thermodynamics Jg. 34 (2022) Nr. 6, S. 1393 - 1431ISSN: 1432-0959; 0935-1175Online Volltext: dx.doi.org/ (Open Access)
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Towards the conception of complex engineering meta-structures : Relaxed-micromorphic modelling of low-frequency mechanical diodes/high-frequency screensIn: Wave Motion Jg. 113 (2022)ISSN: 0165-2125; 1878-433XOnline Volltext: dx.doi.org/ (Open Access)
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Unfolding engineering metamaterials design : Relaxed micromorphic modeling of large-scale acoustic meta-structuresIn: Journal of the Mechanics and Physics of Solids Jg. 168 (2022)ISSN: 0022-5096; 1873-4782Online Volltext: dx.doi.org/ (Open Access)
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A Constrained Cosserat Shell Model up to Order O(h⁵) : Modelling, Existence of Minimizers, Relations to Classical Shell Models and Scaling Invariance of the Bending TensorIn: Journal of Elasticity Jg. 146 (2021) S. 83 - 141ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ (Open Access)
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A hybrid H¹× H(curl) finite element formulation for a relaxed micromorphic continuum model of antiplane shearIn: Computational Mechanics Jg. 68 (2021) S. 1 - 24ISSN: 1432-0924; 0178-7675Online Volltext: dx.doi.org/ (Open Access)
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A note on local higher regularity in the dynamic linear relaxed micromorphic modelIn: Mathematical Methods in the Applied Sciences Jg. 44 (2021) Nr. 18, S. 13855 - 13865ISSN: 1099-1476; 0170-4214Online Volltext: dx.doi.org/ (Open Access)
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Analytical solutions of the cylindrical bending problem for the relaxed micromorphic continuum and other generalized continuaIn: Continuum Mechanics and Thermodynamics Jg. 33 (2021) S. 1505 - 1539ISSN: 1432-0959; 0935-1175Online Volltext: dx.doi.org/ (Open Access)
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Analytical solutions of the simple shear problem for micromorphic models and other generalized continuaIn: Archive of Applied Mechanics Jg. 91 (2021) Nr. 5, S. 2237 - 2254ISSN: 1432-0681; 0939-1533Online Volltext: dx.doi.org/
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Existence results for non-homogeneous boundary conditions in the relaxed micromorphic modelIn: Mathematical Methods in the Applied Sciences Jg. 44 (2021) Nr. 2, S. 2040 - 2049ISSN: 1099-1476; 0170-4214Online Volltext: dx.doi.org/ (Open Access)
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Exploring Metamaterials’ Structures Through the Relaxed Micromorphic Model : Switching an Acoustic Screen Into an Acoustic AbsorberIn: Frontiers in Materials Jg. 7 (2021) S. 589701ISSN: 2296-8016Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Korn inequalities for incompatible tensor fields in three space dimensions with conformally invariant dislocation energyIn: Calculus of Variations and Partial Differential Equations Jg. 60 (2021) Nr. 4,ISSN: 1432-0835; 0944-2669Online Volltext: dx.doi.org/ (Open Access)
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Lp -trace-free version of the generalized Korn inequality for incompatible tensor fields in arbitrary dimensionsIn: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) Jg. 72 (2021) Nr. 3,ISSN: 1420-9039; 0044-2275Online Volltext: dx.doi.org/ (Open Access)
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Lp-versions of generalized Korn inequalities for incompatible tensor fields in arbitrary dimensions with p-integrable exterior derivativeIn: Comptes Rendus Mathématique Jg. 359 (2021) Nr. 2, S. 749 - 755ISSN: 1631-073X; 1778-3569Online Volltext: dx.doi.org/ (Open Access)
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Nečas–Lions lemma revisited : An Lp-version of the generalized Korn inequality for incompatible tensor fieldsIn: Mathematical Methods in the Applied Sciences Jg. 44 (2021) Nr. 14, S. 11392 - 11403ISSN: 1099-1476; 0170-4214Online Volltext: dx.doi.org/ (Open Access)
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On in-plane drill rotations for Cosserat surfacesIn: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences Jg. 477 (2021) Nr. 2252,ISSN: 1471-2946; 1364-5021Online Volltext: dx.doi.org/ (Open Access)
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Sharp Rank-One Convexity Conditions in Planar Isotropic Elasticity for the Additive Volumetric-Isochoric SplitIn: Journal of Elasticity Jg. 143 (2021) Nr. 2, S. 301 - 335ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ (Open Access)
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A fourth-order gauge-invariant gradient plasticity model for polycrystals based on Kröner’s incompatibility tensorIn: Mathematics and Mechanics of Solids (MMS) Jg. 25 (2020) Nr. 2, S. 129 - 159ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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A note on non-homogeneous deformations with homogeneous Cauchy stress for a strictly rank-one convex energy in isotropic hyperelasticityIn: International Journal of Non-Linear Mechanics Jg. 119 (2020) S. 103282ISSN: 0020-7462Online Volltext: dx.doi.org/ (Open Access)
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Chirality in the planeIn: Journal of the Mechanics and Physics of Solids Jg. 134 (2020) S. 103753ISSN: 0022-5096; 1873-4782Online Volltext: dx.doi.org/ (Open Access)
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Effective Description of Anisotropic Wave Dispersion in Mechanical Band-Gap Metamaterials via the Relaxed Micromorphic ModelIn: Journal of Elasticity Jg. 139 (2020) Nr. 2, S. 299 - 329ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Frequency- and angle-dependent scattering of a finite-sized meta-structure via the relaxed micromorphic modelIn: Archive of Applied Mechanics Jg. 90 (2020) Nr. 5, S. 1073 - 1096ISSN: 1432-0681; 0939-1533Online Volltext: dx.doi.org/
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Identification of Scale-Independent Material Parameters in the Relaxed Micromorphic Model Through Model-Adapted First Order HomogenizationIn: Journal of Elasticity: The physical and mathematical science of solids Jg. 139 (2020) Nr. 2, S. 269 - 298ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ (Open Access)
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More on Anti-plane ShearIn: Journal of Optimization Theory and Applications Jg. 184 (2020) S. 226 - 249ISSN: 1573-2878; 0022-3239Online Volltext: dx.doi.org/
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On the dispersion of waves for the linear thermoelastic relaxed micromorphic modelIn: Journal of Thermal Stresses Jg. 43 (2020) Nr. 1, S. 3 - 20ISSN: 1521-074X; 0149-5739Online Volltext: dx.doi.org/ (Open Access)
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Quasiconvex relaxation of isotropic functions in incompressible planar hyperelasticityIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 150 (2020) Nr. 5, S. 2620 - 2631ISSN: 1473-7124; 0308-2105Online Volltext: dx.doi.org/ (Open Access)
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The Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Part II: Existence of MinimizersIn: Journal of Elasticity Jg. 142 (2020) Nr. 2, S. 263 - 290ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ (Open Access)
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The Isotropic Cosserat Shell Model Including Terms up to O(h⁵). : Part I: Derivation in Matrix NotationIn: Journal of Elasticity Jg. 142 (2020) Nr. 2, S. 201 - 262ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ (Open Access)
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The Legendre–Hadamard condition in Cosserat elasticity theoryIn: The Quarterly Journal of Mechanics and Applied Mathematics (QJMAM) Jg. 73 (2020) Nr. 4, S. 293 - 303ISSN: 0033-5614; 1464-3855Online Volltext: dx.doi.org/ (Open Access)
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The Quasiconvex Envelope of Conformally Invariant Planar Energy Functions in Isotropic HyperelasticityIn: Journal of Nonlinear Science Jg. 30 (2020) Nr. 6, S. 2885 - 2923ISSN: 0938-8974; 1432-1467Online Volltext: dx.doi.org/ (Open Access)
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The axiomatic introduction of arbitrary strain tensors by Hans Richter – a commented translation of ‘Strain tensor, strain deviator and stress tensor for finite deformations’In: Mathematics and Mechanics of Solids (MMS) Jg. 25 (2020) Nr. 5, S. 1060 - 1080ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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A canonical rate-independent model of geometrically linear isotropic gradient plasticity with isotropic hardening and plastic spin accounting for the Burgers vectorIn: Continuum Mechanics and Thermodynamics Jg. 31 (2019) S. 1477 - 1502ISSN: 1432-0959; 0935-1175Online Volltext: dx.doi.org/ (Open Access)
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A commented translation of Hans Richter’s early work “The isotropic law of elasticity”In: Mathematics and Mechanics of Solids (MMS) Jg. 24 (2019) Nr. 8, S. 2649 - 2660ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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A polyconvex extension of the logarithmic Hencky strain energyIn: Analysis and Applications Jg. 17 (2019) Nr. 3, S. 349 - 361ISSN: 1793-6861; 0219-5305Online Volltext: dx.doi.org/ (Open Access)
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Do we need Truesdell's empirical inequalities? : On the coaxiality of stress and stretchIn: International Journal of Non-Linear Mechanics Jg. 112 (2019) S. 106 - 116ISSN: 0020-7462; 1878-5638Online Volltext: dx.doi.org/ (Open Access)
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Explicit Global Minimization of the Symmetrized Euclidean Distance by a Characterization of Real Matrices with Symmetric SquareIn: SIAM Journal on Applied Algebra and Geometry Jg. 3 (2019) Nr. 1, S. 31 - 43ISSN: 2470-6566Online Volltext: dx.doi.org/
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Microstructure-related Stoneley waves and their effect on the scattering properties of a 2D Cauchy/relaxed-micromorphic interfaceIn: Wave Motion Jg. 90 (2019) S. 99 - 120ISSN: 0165-2125; 1878-433XOnline Volltext: dx.doi.org/ (Open Access)
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Nonstandard micro-inertia terms in the relaxed micromorphic model: well-posedness for dynamicsIn: Mathematics and Mechanics of Solids (MMS) (2019)ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matricesIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik Jg. 99 (2019) Nr. 6, S. e201800120ISSN: 0044-2267; 1521-4001Online Volltext: dx.doi.org/ (Open Access)
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Refined dimensional reduction for isotropic elastic Cosserat shells with initial curvatureIn: Mathematics and Mechanics of Solids (MMS) Jg. 24 (2019) Nr. 12, S. 4000 - 4019ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Relaxed micromorphic model of transient wave propagation in anisotropic band-gap metastructuresIn: International Journal of Solids and Structures Jg. 162 (2019) S. 148 - 163ISSN: 0020-7683; 1879-2146Online Volltext: dx.doi.org/ (Open Access)
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Shear, pure and simpleIn: International Journal of Non-Linear Mechanics (2019)ISSN: 0020-7462Online Volltext: dx.doi.org/ (Open Access)
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Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformationsIn: Wave Motion Jg. 84 (2019) S. 110 - 124ISSN: 0165-2125; 1878-433XOnline Volltext: dx.doi.org/ (Open Access)
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A finite element implementation of the isotropic exponentiated Hencky-logarithmic model and simulation of the eversion of elastic tubesIn: Computational Mechanics Jg. 62 (2018) Nr. 4, S. 635 - 654ISSN: 1432-0924; 0178-7675Online Volltext: dx.doi.org/ (Open Access)
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A non-ellipticity result, or the impossible taming of the logarithmic strain measureIn: International Journal of Non-Linear Mechanics Jg. 102 (2018) S. 147 - 158ISSN: 0020-7462Online Volltext: dx.doi.org/ (Open Access)
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Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardeningIn: Quarterly Journal of Mechanics and Applied Mathematics Jg. 71 (2018) Nr. 1, S. 99 - 124ISSN: 1464-3855; 0033-5614Online Volltext: dx.doi.org/ (Open Access)
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Hyperelastic bodies under homogeneous Cauchy stress induced by three-dimensional non-homogeneous deformationsIn: Mathematics and Mechanics of Solids (MMS) Jg. 23 (2018) Nr. 4, S. 606 - 616ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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Modeling phononic crystals via theweighted relaxed micromorphic model with free and gradient micro-inertiaIn: Journal of Elasticity Jg. 130 (2018) Nr. 1, S. 59 - 83ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Rank-one convexity implies polyconvexity in isotropic planar incompressible elasticityIn: Journal de Mathématiques Pures et Appliquées Jg. 116 (2018) S. 88 - 104ISSN: 0021-7824; 1776-3371Online Volltext: dx.doi.org/ (Open Access)
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Relaxed micromorphic modeling of the interface between a homogeneous solid and a band-gap metamaterial : new perspectives towards metastructural designIn: Mathematics and Mechanics of Solids (MMS) Jg. 23 (2018) Nr. 12, S. 1485 - 1506ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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Rotational invariance conditions in elasticity, gradient elasticity and its connection to isotropyIn: Mathematics and Mechanics of Solids (MMS) Jg. 23 (2018) Nr. 1, S. 3 - 42ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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The exponentiated Hencky energy : anisotropic extension and case studiesIn: Computational Mechanics Jg. 61 (2018) Nr. 6, S. 657 - 685ISSN: 1432-0924; 0178-7675Online Volltext: dx.doi.org/ (Open Access)
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Well-posedness for the microcurl model in both single and polycrystal gradient plasticityIn: International Journal of Plasticity Jg. 107 (2018) S. 1 - 26ISSN: 0749-6419Online Volltext: dx.doi.org/ (Open Access)
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A panorama of dispersion curves for the weighted isotropic relaxed micromorphic modelIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik Jg. 97 (2017) Nr. 11, S. 1436 - 1481ISSN: 1521-4001; 0044-2267Online Volltext: dx.doi.org/ (Open Access)
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A variant of the linear isotropic indeterminate couple-stress model with symmetric local force-stress, symmetric nonlocal force-stress, symmetric couple-stresses and orthogonal boundary conditionsIn: Mathematics and Mechanics of Solids (MMS) Jg. 22 (2017) Nr. 6, S. 1221 - 1266ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/
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Continuum Mechanics : Grioli's theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotationsIn: Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni Jg. 28 (2017) Nr. 3, S. 573 - 600ISSN: 1720-0768; 1120-6330Online Volltext: dx.doi.org/ (Open Access)
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Geometrically nonlinear cosserat elasticity in the plane : Applications to chiralityIn: Journal of Mechanics of Materials and Structures Jg. 12 (2017) Nr. 5, S. 689 - 710ISSN: 1559-3959Online Volltext: dx.doi.org/ (Open Access)
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Hyperelastic bodies under homogeneous Cauchy stress induced by non-homogeneous finite deformationsIn: International Journal of Non-Linear Mechanics Jg. 89 (2017) S. 93 - 100ISSN: 0020-7462Online Volltext: dx.doi.org/ (Open Access)
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Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity conditionIn: Journal of Elasticity Jg. 127 (2017) Nr. 2, S. 309 - 315ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/ (Open Access)
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Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizersIn: Zeitschrift für Angewandte Mathematik und Physik Jg. 68 (2017) S. 11ISSN: 1420-9039Online Volltext: dx.doi.org/
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On the Convexity of Nonlinear Elastic Energies in the Right Cauchy-Green TensorIn: Journal of Elasticity: the physical and mathematical science of solids Jg. 127 (2017) Nr. 2, S. 303 6 Seiten - 308ISSN: 0374-3535; 1573-2681Online Volltext: dx.doi.org/
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On the role of micro-inertia in enriched continuum mechanicsIn: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences Jg. 473 (2017) Nr. 2198, S. 20160722ISSN: 1471-2946; 1364-5021Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Rank-one convexity implies polyconvexity for isotropic, objective and isochoric elastic energies in the two-dimensional caseIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics Jg. 147 (2017) Nr. 3, S. 571 - 597ISSN: 1473-7124; 0308-2105Online Volltext: dx.doi.org/ (Open Access)
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Real wave propagation in the isotropic relaxed micromorphic modelIn: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences Jg. 473 (2017) Nr. 2197, S. 20160790ISSN: 0080-4630; 0962-8444; 0950-1207; 1364-5021Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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The geometrically nonlinear Cosserat micropolar shear–stretch energy : Part II: Non-classical energy-minimizing microrotations in 3D and their computational validationIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik Jg. 97 (2017) Nr. 7, S. 843 - 871ISSN: 1521-4001; 0044-2267Online Volltext: dx.doi.org/ (Open Access)
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The geometrically nonlinear Cosserat micropolar shear–stretch energy : Part I: A general parameter reduction formula and energy-minimizing microrotations in 2DIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik Jg. 97 (2017) Nr. 7, S. 828 - 842ISSN: 1521-4001; 0044-2267Online Volltext: dx.doi.org/ (Open Access)
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The modified indeterminate couple stress model : why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric neverthelessIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik Jg. 97 (2017) Nr. 12, S. 1524 - 1554ISSN: 1521-4001; 0044-2267Online Volltext: dx.doi.org/ (Open Access)
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The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experimentsIn: Zeitschrift für angewandte Mathematik und Physik Jg. 68 (2017) Nr. 4, S. 90ISSN: 1420-9039; 0044-2275Online Volltext: dx.doi.org/ (Open Access)
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The sum of squared logarithms inequality in arbitrary dimensionsIn: Linear Algebra and Its Applications Jg. 528 (2017) S. 124 - 146ISSN: 0024-3795; 1873-1856Online Volltext: dx.doi.org/ (Open Access)
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Transparent anisotropy for the relaxed micromorphic model : macroscopic consistency conditions and long wave length asymptoticsIn: International journal of solids and structures Jg. 120 (2017) S. 7 - 30ISSN: 0020-7683Online Volltext: dx.doi.org/ (Open Access)
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A new view on boundary conditions in the Grioli–Koiter–Mindlin–Toupin indeterminate couple stress modelIn: European Journal of Mechanics: A, Solids Jg. 59 (2016) S. 294 - 322ISSN: 0997-7538Online Volltext: dx.doi.org/ (Open Access)
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Complete band gaps including non-local effects occur only in the relaxed micromorphic modelIn: Comptes rendus mathematique Jg. 344 (2016) Nr. 11-12, S. 784 - 796ISSN: 1631-0721Online Volltext: dx.doi.org/ (Open Access)
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Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditionsIn: ESAIM Control Optimisation and Calculus of Variations Jg. 22 (2016) Nr. 1, S. 112 - 133ISSN: 1292-8119Online Volltext: dx.doi.org/
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First evidence of non-locality in real band-gap metamaterials : determining parameters in the relaxed micromorphic modelIn: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences Jg. 472 (2016) Nr. 2190, 21 SeitenISSN: 1471-2946; 0962-8444; 0080-4630; 1364-5021Online Volltext: dx.doi.org/
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Geometry of Logarithmic Strain Measures in Solid MechanicsIn: Archive for Rational Mechanics and Analysis Jg. 222 (2016) Nr. 2, S. 507 - 572ISSN: 1432-0673; 0003-9527Online Volltext: dx.doi.org/ (Open Access)
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Loss of ellipticity for non-coaxial plastic deformations in additive logarithmic finite strain plasticityIn: International Journal of Non-Linear Mechanics Jg. 81 (2016) S. 122 - 128ISSN: 0020-7462Online Volltext: dx.doi.org/ (Open Access)
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Loss of ellipticity in additive logarithmic finite strain plasticity and related results on Hencky-type energies
Joint 87th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) and Deutsche Mathematiker‐Vereinigung (DMV), 7 – 11 March 2016, Braunschweig,In: Proceedings in applied mathematics and mechanics: PAMM Jg. 16 (2016) Nr. 1, S. 341 - 342ISSN: 1617-7061Online Volltext: dx.doi.org/ -
Minimal geodesics on GL(n) for left-invariant, right-O(n)-invariant Riemannian metricsIn: The Journal of Geometric Mechanics Jg. 8 (2016) Nr. 3, S. 323 - 357ISSN: 1941-4889; 1941-4897Online Volltext: dx.doi.org/ (Open Access)
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Numerical treatment of a geometrically nonlinear planar Cosserat shell modelIn: Computational Mechanics Jg. 57 (2016) Nr. 5, S. 817 - 841ISSN: 1432-0924; 0178-7675Online Volltext: dx.doi.org/ (Open Access)
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On some fundamental misunderstandings in the indeterminate couple stress model : A comment on recent papers of A.R. Hadjesfandiari and G.F. DargushIn: International journal of solids and structures Jg. 81 (2016) S. 233 - 243ISSN: 0020-7683Online Volltext: dx.doi.org/
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On the sum of squared logarithms inequality and related inequalitiesIn: Journal of Mathematical Inequalities Jg. 10 (2016) Nr. 1, S. 1 - 17ISSN: 1846-579X; 1848-9575Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Rediscovering G.F. Becker's early axiomatic deduction of a multiaxial nonlinear stress-strain relation based on logarithmic strainIn: Mathematics and Mechanics of Solids (MMS) Jg. 21 (2016) Nr. 7, S. 856 - 911ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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Reflection and transmission of elastic waves in non-local band-gap metamaterials : A comprehensive study via the relaxed micromorphic modelIn: Journal of the Mechanics and Physics of Solids Jg. 95 (2016) S. 441 - 479ISSN: 0022-5096; 1873-4782Online Volltext: dx.doi.org/ (Open Access)
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Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticityIn: Wave motion: An International Journal Reporting Research on Wave Phenomena Jg. 60 (2016) S. 158 - 165ISSN: 0165-2125Online Volltext: dx.doi.org/ (Open Access)
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The Exponentiated Hencky Strain Energy in Modeling Tire Derived Material for Moderately Large DeformationsIn: Journal of engineering materials and technology Jg. 138 (2016) Nr. 3,ISSN: 1528-8889; 0094-4289Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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The exponentiated Hencky-Logarithmic strain energy : Part III: Coupling with idealized isotropic finite strain plasticityIn: Continuum Mechanics and Thermodynamics Jg. 28 (2016) Nr. 1, S. 477 - 487ISSN: 1432-0959; 0935-1175Online Volltext: dx.doi.org/ (Open Access)
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A first regularity result for the Armstrong-Frederick cyclic hardening plasticity model with Cosserat effectsIn: Journal of Mathematical Analysis and Applications Jg. 423 (2015) Nr. 1, S. 283 - 304ISSN: 1096-0813; 0022-247XOnline Volltext: dx.doi.org/ (Open Access)
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An ellipticity domain for the distortional Hencky logarithmic strain energyIn: Proceedings of the Royal Society of London, Series A: Mathematical, Physical and Engineering Sciences Jg. 471 (2015) Nr. 2184, S. 20150510ISSN: 0962-8444; 0080-4630; 1364-5021Online Volltext: dx.doi.org/
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Band gaps in the relaxed linear micromorphic continuumIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik Jg. 95 (2015) Nr. 9, S. 880 - 887ISSN: 1521-4001; 0044-2267Online Volltext: dx.doi.org/ (Open Access)
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Existence theorem for geometrically nonlinear cosserat micropolar model under uniform convexity requirementsIn: Journal of elasticity Jg. 121 (2015) Nr. 1, S. 119 - 141ISSN: 0374-3535; 1573-2681Online Volltext: dx.doi.org/ (Open Access)
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On the generalised sum of squared logarithms inequalityIn: Journal of Inequalities and Applications Jg. 2015 (2015) S. 101ISSN: 1025-5834Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Poincaré meets Korn via Maxwell : extending Korn's first inequality to incompatible tensor fieldsIn: Journal of differential equations Jg. 258 (2015) Nr. 4, S. 1267 - 1302ISSN: 0022-0396; 1090-2732Online Volltext: dx.doi.org/ (Open Access)
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Some remarks on the monotonicity of primary matrix functions on the set of symmetric matricesIn: Archive of Applied Mechanics Jg. 85 (2015) Nr. 12, S. 1761 - 1778ISSN: 1432-0681; 0939-1533Online Volltext: dx.doi.org/ (Open Access)
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The exponentiated Hencky-Logarithmic strain energy : Part I: Constitutive issues and rank-one convexityIn: Journal of elasticity Jg. 121 (2015) Nr. 2, S. 143 - 234ISSN: 0374-3535; 1573-2681Online Volltext: dx.doi.org/ (Open Access)
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The exponentiated Hencky-Logarithmic strain energy : Improvement of planar polyconvexityIn: International Journal of Non-Linear Mechanics Jg. 71 (2015) S. 48 - 51ISSN: 0020-7462Online Volltext: dx.doi.org/ (Open Access)
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The exponentiated Hencky-Logarithmic strain energy : Part II: Coercivity, planar polyconvexity and existence of minimizersIn: Zeitschrift für Angewandte Mathematik und Physik Jg. 66 (2015) Nr. 4, S. 1671 - 1693ISSN: 1420-9039; 0044-2275Online Volltext: dx.doi.org/ (Open Access)
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The relaxed linear micromorphic continuum : Existence, uniqueness and continuous dependence in dynamicsIn: Mathematics and Mechanics of Solids (MMS) Jg. 20 (2015) Nr. 10, S. 1171 - 1197ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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The relaxed linear micromorphic continuum : well-posedness of the static problem and relations to the gauge theory of dislocationsIn: The quarterly journal of mechanics and applied mathematics : QJMAM Jg. 68 (2015) Nr. 1, S. 53 - 84ISSN: 0033-5614; 1464-3855Online Volltext: dx.doi.org/
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Wave propagation in pantographic 2D lattices with internal discontinuitiesIn: Proceedings of the Estonian Academy of Sciences Jg. 64 (2015) Nr. 3, S. 325 - 330ISSN: 1736-7530; 1736-6046Online Volltext: dx.doi.org/ (Open Access)
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Wave propagation in relaxed micromorphic continua : modeling metamaterials with frequency band-gapsIn: Continuum Mechanics and Thermodynamics Jg. 27 (2015) Nr. 4-5, S. 551 - 570ISSN: 1432-0959; 0935-1175Online Volltext: dx.doi.org/ (Open Access)
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Well-posedness for dislocation based gradient visco-plasticity with isotropic hardeningIn: Nonlinear analysis: Real world applications Jg. 25 (2015) S. 96 - 111ISSN: 1468-1218Online Volltext: dx.doi.org/ (Open Access)
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A Riemannian approach to strain measures in nonlinear elasticityIn: Comptes Rendus Mecanique Jg. 342 (2014) Nr. 4, S. 254 - 257ISSN: 1631-0721Online Volltext: dx.doi.org/
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A logarithmic minimization property of the unitary polar factor in the spectral norm and the Frobenius normIn: SIAM Journal on Matrix Analysis and Applications Jg. 35 (2014) Nr. 3, S. 1132 - 1154ISSN: 0895-4798; 1095-7162Online Volltext: dx.doi.org/
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A unifying perspective : the relaxed linear micromorphic continuumIn: Continuum Mechanics and Thermodynamics Jg. 26 (2014) Nr. 5, S. 639 - 681ISSN: 1432-0959; 0935-1175Online Volltext: dx.doi.org/
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Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn's second inequalityIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik Jg. 94 (2014) Nr. 9, S. 784 - 790ISSN: 1521-4001; 0044-2267Online Volltext: dx.doi.org/ (Open Access)
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Eine Fusion in der Mathematik : Über das Verschmelzen zweier Kerngebiete der Angewandten MathematikIn: Unikate: Berichte aus Forschung und Lehre (2014) Nr. 45: Fusionen – Was sagen die Fakultäten?, S. 28 - 37ISBN: 978-3-934359-45-1 ISSN: 0944-6060; 1869-3881Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotationsIn: Mathematics and Mechanics of Solids (MMS) Jg. 19 (2014) Nr. 4, S. 376 - 397ISSN: 1741-3028; 1081-2865Online Volltext: dx.doi.org/ (Open Access)
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New Poincaré-type inequalitiesIn: Comptes rendus mathematique Jg. 352 (2014) Nr. 2, S. 163 - 166ISSN: 1631-073XOnline Volltext: dx.doi.org/
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Rank-one convexity and polyconvexity of Hencky-type energiesIn: Proceedings in Applied Mathematics and Mechanics (PAMM) / 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 10 – 14 March 2014, Erlangen, Germany Jg. 14 (2014) Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen 2014, S. 735 - 736ISSN: 1617-7061Online Volltext: dx.doi.org/
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Shells without drilling rotations: A representation theorem in the framework of the geometrically nonlinear 6-parameter resultant shell theoryIn: International Journal of Engineering Science Jg. 80 (2014) S. 32 - 42ISSN: 0020-7225Online Volltext: dx.doi.org/
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The Armstrong–Frederick cyclic hardening plasticity model with Cosserat effectsIn: Journal of Differential Equations Jg. 256 (2014) Nr. 11, S. 3497 - 3523ISSN: 0022-0396Online Volltext: dx.doi.org/
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The minimization of matrix logarithms : on a fundamental property of the unitary polar factorIn: Linear algebra and its applications Jg. 449 (2014) S. 28 - 42ISSN: 0024-3795Online Volltext: dx.doi.org/
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The relaxed micromorphic continuum modelIn: Proceedings in Applied Mathematics and Mechanics (PAMM) / 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 10 – 14 March 2014, Erlangen, Germany Jg. 14 (2014) Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen 2014, S. 733 - 734ISSN: 1617-7061Online Volltext: dx.doi.org/
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Existence theorems in the geometrically non-linear 6-parameter theory of elastic platesIn: Journal of Elasticity Jg. 112 (2013) Nr. 2, S. 185 - 198ISSN: 1573-2681; 0374-3535Online Volltext: dx.doi.org/
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Some Poincaré type inequalities for quadratic matrix fieldsIn: Proceedings in Applied Mathematics and Mechanics (PAMM) / 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 – 22 March 2013, Novi Sad, Serbia Jg. 13 (2013) Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 359 - 360ISSN: 1617-7061Online Volltext: dx.doi.org/
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Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithmIn: Journal of Inequalities and Applications Jg. 2013 (2013) S. 168ISSN: 1029-242XOnline Volltext: dx.doi.org/ (Open Access)
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The Armstrong-Frederick Plasticity model with Cosserat effectsIn: Proceedings in Applied Mathematics and Mechanics (PAMM) / 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 – 22 March 2013, Novi Sad, Serbia Jg. 13 (2013) Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 357 - 358ISSN: 1617-7061Online Volltext: dx.doi.org/
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The Hencky strain energy ‖log U‖2 measures the geodesic distance of the deformation gradient to SO(n) in the canonical left-invariant Riemannian metric on GL(n)In: Proceedings in Applied Mathematics and Mechanics (PAMM) / 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 – 22 March 2013, Novi Sad, Serbia Jg. 13 (2013) Nr. 1, Special Issue: 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 369 - 370ISSN: 1617-7061Online Volltext: dx.doi.org/
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Uniqueness of integrable solutions to ∇ζ = Gζ, ζ|Γ = 0 for integrable tensor coefficients G and applications to elasticityIn: Proceedings in Applied Mathematics and Mechanics (PAMM) / 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 18 – 22 March 2013, Novi Sad, Serbia Jg. 13 (2013) Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 361 - 362ISSN: 1617-7061Online Volltext: dx.doi.org/
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Uniqueness of integrable solutions to ∇ζ=Gζ,ζ|Γ=0 for integrable tensor coefficients G and applications to elasticityIn: Zeitschrift für Angewandte Mathematik und Physik Jg. 64 (2013) Nr. 6, S. 1679 - 1688ISSN: 0044-2275; 1420-9039Online Volltext: dx.doi.org/
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Micromechanical Modeling of Woven Fiber Composites for the Construction of Effective Anisotropic Polyconvex EnergiesIn: Proceedings in Applied Mathematics and Mechanics: PAMM / 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Gdansk 2009 Jg. 10 (2009) Nr. 1, Special Issue: 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Gdansk 2009, S. 333 - 334ISSN: 1617-7061Online Volltext: dx.doi.org/
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Anisotropic Polyconvex Energies on the Basis of Crystallographic Motivated Structural Tensors.In: Journal of the Mechanics and Physics of Solids Jg. 56 (2008) Nr. 12, S. 3486 - 3506ISSN: 0022-5096; 1873-4782Online Volltext: dx.doi.org/
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FETI-DP Methods for P-ElasticityIn: Proceedings in Applied Mathematics and Mechanics (PAMM) / 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 31 March - 4 April 2008, Bremen, Germany Jg. 8 (2008) Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008, S. 10859 - 10860ISSN: 1617-7061Online Volltext: dx.doi.org/
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Numerical results for an elasto‐plastic Cosserat model with more than one million dof in 3DIn: Proceedings in Applied Mathematics and Mechanics (PAMM) / 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 31 March - 4 April 2008, Bremen, Germany Jg. 8 (2008) Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008, S. 10557 - 10558ISSN: 1617-7061Online Volltext: dx.doi.org/
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Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedomIn: Acta Mechanica Jg. 197 (2008) Nr. 1, S. 19 - 30ISSN: 0001-5970; 1619-6937Online Volltext: dx.doi.org/
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Modeling real phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia(2016) 24 Seiten
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On isotropy conditions in second gradient materials
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Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices(2016) 23 -Seiten
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The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments
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A generalization of Korn’s first inequality to incompatible tensor fields with applications in gradient plasticity(2015)Online Volltext: dx.doi.org/
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Correct traction boundary conditions in the indeterminate couple stress model(2015) 4 Seiten
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Existence results in dislocation based rate-independent isotropic gradient plasticity with kinematical hardening and plastic spin: The case with symmetric local backstress(2015) 28 Seiten
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Integrability conditions between the first and second Cosserat deformation tensor in geometrically nonlinear micropolar models and existence of minimizers(2015) 17 SeitenOnline Volltext (Open Access)
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Rank one convexity of the exponentiated Hencky-logarithmic strain energy in finite elastostatics(2014)
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The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky(2014) 27 Seiten(Open Access)
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Experiment and modelling of the microstructural behaviour for transversaly isotropic materials under tension loading(2008) 8 Seiten
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Reconsidering the linear isotropic indeterminate couple stress model (Koiter-Mindlin-Toupin-model)(2008) 4 Seiten
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PrefaceIn: Poly-, Quasi- and Rank-One Convexity in Applied Mechanics / Schröder, Jörg; Neff, Patrizio (Hrsg.) (2010)ISBN: 978-3-7091-0173-5; 978-3-7091-0174-2 ISSN: 0254-1971
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Unique continuation for first-order systems with integrable coefficients and applications to elasticity and plasticityIn: Comptes rendus mathematique: Académie des Sciences Jg. 351 (2013) Nr. 5/6, S. 247 - 250ISSN: 1631-073XOnline Volltext: dx.doi.org/
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Dispersion of waves in micromorphic media and metamaterialsIn: Handbook of nonlocal continuum mechanics for materials and structures / Voyiadjis, George Z. (Hrsg.) 2019, S. 713 - 739ISBN: 978-3-319-58729-5; 978-3-319-58727-1; 3-319-58727-7; 978-3-319-58728-8Online Volltext: dx.doi.org/
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A review on wave propagation modeling in band-gap metamaterials via enriched continuum modelsIn: Mathematical modelling in solid mechanics / dell'Isola, Francesco; Sofonea, Mircea; Steigmann, David (Hrsg.) 2017, S. 89 - 105ISBN: 978-981-10-3763-4; 978-981-10-3764-1Online Volltext: dx.doi.org/
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Analysis of the deformation of cosserat elastic shells using the dislocation density tensorIn: Mathematical Modelling in Solid Mechanics / International conference on Emerging Trends in Applied Mathematics and Mechanics, ETAMM 2016; Perpignan; France; 30 May 2016 through 3 June 2016 / dell'Isola, Francesco; Sofonea, Mircea; Steigmann, David (Hrsg.) 2017, S. 13 - 30ISBN: 9789811037634; 978-981-10-3764-1 ISSN: 1869-8441; 1869-8433Online Volltext: dx.doi.org/
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Eversion of tubes : Comparison of material modelsIn: Constitutive Models for Rubber X: Proceedings of the 10th European Conference on Constitutive Models for Rubbers X / ECCMR X 2017; Munich; Germany; 28 - 31 August 2017 2017, S. 109 - 113ISBN: 9781138030015Online Volltext: dx.doi.org/
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New thoughts in nonlinear elasticity theory via Hencky’s logarithmic strain tensorIn: Mathematical Modelling in Solid Mechanics / International Conference on Emerging Trends in Applied Mathematics and Mechanics, ETAMM 2016; Perpignan; France; 30 May 2016 through 3 June 2016 / dell'Isola, Francesco; Sofonea, Mircea; Steigmann, David (Hrsg.) 2017, S. 165 - 180ISBN: 9789811037634; 978-981-10-3764-1Online Volltext: dx.doi.org/
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Comparison of isotropic elasto-plastic models for the plastic metric tensor C_p=F_p^T F_pIn: Innovative Numerical Approaches for Multi-Field and Multi-Scale Problems: in Honor of Michael Ortiz's 60th Birthday / Weinberg, Kerstin; Pandolfi, Anna (Hrsg.) 2016ISBN: 978-3-319-39021-5; 978-3-319-39022-2Online Volltext: dx.doi.org/
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On the dislocation density tensor in the Cosserat theory of elastic shellsIn: Advanced methods of continuum mechanics for materials and structures / Naumenko, Konstantin; Aßmus, Marcus (Hrsg.) 2016, S. 391 - 413ISBN: 978-981-10-0958-7; 978-981-10-0959-4Online Volltext: dx.doi.org/ Online Volltext (Open Access)
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Existence of Minimizers in Nonlinear Elastostatics of Micromorphic SolidsIn: Encyclopedia of Thermal Stresses / Hetnarski, Richard B. (Hrsg.) 2014, S. 1475 - 1485ISBN: 978-94-007-2738-0; 978-94-007-2739-7Online Volltext: dx.doi.org/
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On an extension of Korn's first inequality to incompatible tensor fields on domains of arbitrary dimensionsIn: Modeling, Simulation and Optimization for Science and Technology / Fitzgibbon, William (Hrsg.) 2014, S. 139 - 159ISBN: 978-94-017-9053-6; 978-94-017-9054-3Online Volltext: dx.doi.org/
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On the characterization of drilling rotation in the 6-parameter resultant shell theoryIn: Shell Structures: Theory and Applications: Proceedings of the 10th SSTA 2013 Conference / 10th SSTA Conference, Gdansk, Poland 16. - 18. October 2013 / Pietraszkiewicz, Wojciech (Hrsg.) Jg. 3 2014, S. 61 - 64ISBN: 9781138000827Online Volltext: dx.doi.org/ (Open Access)
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A micropolar continuum model for large deformation caused by magnetic or electric fieldsIn: Behavior and Mechanics of Multifunctional Materials and Composites / Behavior and Mechanics of Multifunctional Materials and Composites 20011, 7–9 March 2011 San Diego, California, United States / Ounaies, Zoubeida (Hrsg.) 2011, S. 24ISBN: 978-0-8194-8540-3 ISSN: 0277-786XOnline Volltext: dx.doi.org/
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A nonlinear micropolar continuum theory for initial plasticityIn: Advances and Trends in Structural Engineering, Mechanics and Computation / Fourth International Conference on Structural Engineering, Mechanics and Computation, SEMC 2010, Cape Town, South Africa, 6-8 September 2010 / Zingoni, Alphose (Hrsg.) 2010, S. 65 - 66ISBN: 978-0-415-58472-2; 978-0-415-61815-1
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Applications of anisotropic polyconvex energies : thin shells and biomechanics of arterial wallsIn: Poly-, Quasi- and Rank-One Convexity in Applied Mechanics / Schröder, Jörg; Neff, Patrizio (Hrsg.) 2010, S. 131 - 176ISBN: 978-3-7091-0173-5Online Volltext: dx.doi.org/
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Construction of polyconvex energies for non-trivial anisotropy classesIn: Poly-, quasi- and rank-one convexity in applied mechanics / Schröder, Jörg (Hrsg.) 2010, S. 107 - 130ISBN: 978-3-7091-0173-5Online Volltext: dx.doi.org/
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Linear Cosserat Elasticity, Conformal Curvature and Bounded StiffnessIn: Mechanics of Generalized Continua: One Hundred Years After the Cosserats / Maugin, Gérard A. (Hrsg.) 2010, S. 55 - 63ISBN: 978-1-4419-5694-1Online Volltext: dx.doi.org/
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Polyconvex energies for trigonal, tetragonal and cubic symmetry groupsIn: IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials: Proceedings of the IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials / IUTAM Symposium on Variational Concepts with Applications to the Mechanics of Materials, 22-26 September 2008, Bochum, Germany / Hackl, Klaus (Hrsg.) 2010, S. 221 - 232ISBN: 978-90-481-9194-9; 978-90-481-9195-6Online Volltext: dx.doi.org/
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The Reissner-Mindlin plate is the Γ-limit of linear Cosserat elasticityIn: Shell Structures: Theory and Applications: Volume 2 : Proceedings of the 9th SSTA Conference / Pietraszkiewicz, Wojciech; Kreja, Ireneusz; SSTA Conference, Gdańsk - Jurata, Poland, 14 - 16 October 2009 2010, S. 91 - 94ISBN: 978-0-203-85976-6; 978-0-415-54883-0
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Γ-convergence for a geometrically exact Cosserat shell-model of defective elastic crystalsIn: Poly-, Quasi- and Rank-One Convexity in Applied Mechanics / Schröder, Jörg; Neff, Patrizio (Hrsg.) 2010, S. 301 - 361ISBN: 978-3-7091-0173-5; 978-3-7091-0174-2Online Volltext: dx.doi.org/
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On the computation of configurational forces in anisotropic hyperelastic solidsIn: IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics: Proceedings of the IUTAM Symposium held in Erlangen, Germany, October 20-24, 2008 / IUTAM Symposium on Progress in the Theory and Numerics of Configurational Mechanics, 20-24 October 2008, Erlangen, Germany / Steinmann, Paul (Hrsg.) 2009, S. 261 - 270ISBN: 978-90-481-3446-5; 978-90-481-3447-2Online Volltext: dx.doi.org/
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The Reissner-Mindlin plate is the Gamma-limit of linear Cosserat elasticityIn: Shell Structures: Theory and Applications: Proceedings of the 9th SSTA Conference, Jurata, Poland, 14-16 October 2009. - Band 2 / 9th SSTA Conference, Jurata, Poland, 14-16 October 2009 / Pietraszkiewicz, Wojciech (Hrsg.) 2009, S. 91 - 94ISBN: 978-0-415-54883-0; 978-0-203-85976-6Online Volltext: dx.doi.org/
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3D Modeling of Thin-Walled Structures : Physical applications for a nonlinear micropolar formulation on shellsIn: Proceedings of the 6th International Conference on Computation of Shell & Spatial Structures: Spanning Nano to Mega / 6th International Conference on Computation of Shell & Spatial Structures: IASS-IACM 2008 - "Spanning Nano to Mega" 28-31 May 2008, Cornell University, Ithaca, New York, USA / Abel, J. (Hrsg.) 2008, S. 17 - 21ISBN: 978-1-62276-364-1
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Uniqueness of Strong Solutions in Infinitesimal Perfect Gradient-Plasticity with Plastic SpinIn: UTAM Symposium on Theoretical, Computational and Modelling Aspects of Inelastic Media: Proceedings of the IUTAM Symposium held at Cape Town, South Africa, January 14–18, 2008 / IUTAM Symposium Cape Town, South Africa, January 14–18, 2008 / Reddy, B. Daya (Hrsg.) 2008, S. 129 - 140ISBN: 978-1-4020-9089-9; 978-1-4020-9090-5Online Volltext: dx.doi.org/
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Polyconvex anisotropic hyperelastic energiesIn: III European Conference on Computational Mechanics (ECCM III): Solids, Structures and Coupled Problems in Engineering: Book of Abstracts / III European Conference on Computational Mechanics (ECCM III), Solids, Structures and Coupled Problems in Engineering, 5.-8-. Juni 2006, Lissabon, Portugal 2006, S. 272ISBN: 978-1-4020-4994-1; 978-1-4020-5370-2Online Volltext: dx.doi.org/
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Modeling of anisotropic damage in arterial walls based on polyconvex stored energy functionsIn: Computational plasticity: fundamentals and applications : proceedings of the Eighth International Conference on Computational Plasticity held in Barcelona, Spain, 5th - 7th September 2005 / VIII International Conference on Computational Plasticity, COMPLAS VIII, 5. - 7. September 2005, Barcelona / Owen, D. R. J. (Hrsg.) 2005, S. 802 - 805ISBN: 84-95999-80-3
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On material constants for micromorphic continuaIn: Trends in applications of mathematics to mechanics: proceedings of the XIVth International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM2004) Seeheim, Germany, 22, 28 August 2004 / XIVth International Symposium on Trends in Applications of Mathematics to Mechanics (STAMM2004) Seeheim, Germany, 22, 28 August 2004 / Wang, Yongqi (Hrsg.) 2005, S. 337 - 348ISBN: 978-3-8322-3600-7
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Local existence and uniqueness for a model of finite multiplicative visco-plasticity and the role of an extended Korn's first inequalityIn: Progress in Analysis: Proceedings of the 3rd ISAAC Congress Berlin, Germany, 20 – 25 August 2001 , Band 2 / 3rd ISAAC Congress Berlin, Germany, 20 – 25 August 2001 / Begehr, Heinrich (Hrsg.) 2003, S. 1311 - 1315ISBN: 981-238-967-9Online Volltext: dx.doi.org/
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On the construction of polyconvex anisotropic free energy functionsIn: IUTAM-symposium on computational mechanics of solid materials at large strains / IUTAM Symposium, 20–24 August 2001, Stuttgart, Germany / Miehe, Christian (Hrsg.) 2003, S. 171 - 180ISBN: 978-1-4020-1170-2; 978-90-481-6239-0Online Volltext: dx.doi.org/
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Some results concerning the mathematical treatment of finite plasticityIn: Deformation and failure in metallic materials / Hutter, Kolumban (Hrsg.) 2003, S. 251 - 274ISBN: 978-3-642-05649-9; 978-3-540-36564-8
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Application of polyconvex anisotropic free energies to soft tissuesIn: Proceedings of the Fifth World Congress on Computational Mechanics / Fifth World Congress on Computational Mechanics, 7-12 July 2002, Vienna, Austria 2002ISBN: 3-9501554-0-6
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The geometrically nonlinear Cosserat micropolar shear-stretch energy : Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D(2016) 21 Seiten
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 795) -
The modifed indeterminate couple stress model : Why Yang et al.'s arguments motivating a symmetric couple stress tensor contain a gap and why the couple stress tensor may be chosen symmetric nevertheless(2016) 37 Seiten
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 796) -
Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn's second inequality(2013) 8 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 765) -
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations(2013) 31 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 761) -
On an extension of Korn's first inequality to incompatible tensor fields on domains of arbitrary dimensions(2013) 24 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 763) -
Poincaré meets Korn via Maxwell : extending Korn's first inequality to incompatible tensor fields(2013) 39 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 753) -
Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithm(2013) 16 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 762) -
The unitary polarv factor Q = U p minimizes Log (Q Z) 2 and sym Log(Q Z) 2 in the spectral norm in any dimension and the Frobenius matrix norm in three dimensions(2013) 29 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 764) -
Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates(2012) 19 S.
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 754) -
Uniqueness of integrable solutions to nabla zeta = G zeta zeta gamma = 0 or integrable tensor(2012) 9 S.
(Schriftenreihe der Fakultät für Mathematik, Universität Duisburg-Essen ; 756) -
Poly-, quasi- and rank-one convexity in applied mechanicsWien (2010) 361 S.
(CISM courses and lectures ; 516)ISBN: 978-3-7091-0173-5Online Volltext: dx.doi.org/ -
Geometrically exact Cosserat theory for bulk behaviour and thin structures : modelling and mathematical analysis(2004)
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Mathematische Analyse multiplikativer ViskoplastizitätAachen (2000) VIII, 210 Seiten (Berichte aus der Mathematik)ISBN: 3-8265-7560-1
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A brief history of logarithmic strain measures in nonlinear elasticity(2016)Online Volltext: dx.doi.org/
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Rank-one convexity implies polyconvexity for isotropic energies on SL(2)(2016)Online Volltext: dx.doi.org/
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Real wave propagation in the isotropic relaxed micromorphic model(2016)Online Volltext: dx.doi.org/
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Reflection and transmission of elastic waves in non-local band-gap metamaterials(2016)Online Volltext: dx.doi.org/
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The exponentiated Hencky strain energy in modeling tire derived material(2016)Online Volltext: dx.doi.org/
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Minimal geodesics on GL(n) for left-invariant, right-O(n)-invariant Riemannian metrics(2015)
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Construction of anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors(2008)
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Presentation: Grioli’s legacy in nonlinear elasticity : strain measures and geodesics on GL(3)
New frontiers in continuum mechanics - dedicated to Prof. Guiseppe Grioli, 21.-22. June 2016, Rome, Italy,(2016)Online Volltext: dx.doi.org/ -
Presentation: Loss of ellipticity for non-coaxial plastic deformations in additive logarithmic strain plasticity
15th GAMM-Seminar on Microstructures, Institut Henri Poincaré, Paris, January 22 - 23, 2016,(2016) -
Presentation: On the dislocation density tensor in the Cosserat theory of elastic shells
Emerging trends in applied mathematics and mechanics, ETAMM 2016, May 30 - June 3, 2016, Perpignan, France,(2016)Online Volltext: dx.doi.org/ -
Modeling Tire Derived Material for Moderately Large Deformations
4th International Conference on Material Modeling, May 27.-29., 2015, Berkeley, California,(2015) 26 Seiten -
Presentation: Energy-minimizing Cosserat Microrotations and 3D-EBSD vs. Synthetic Reproduction for Nanoindentation in Copper
Generalized Continua as Models for Materials with Multi-scale-Effects or under Multi-field-Actions, 21-26 September 2015, Magdeburg,(2015) -
Presentation: Geometry of logarithmic strain measures in solid mechanics
9th European Solid Mechanics Conference, ESMC15, July 6-10, 2015, Madrid,(2015) -
Presentation: Old and new thoughts on the indeterminate couple stress model
2nd International Symposium on Multiscale Material Mechanics in the 21st Century (Symposium in honor of the 65th birthday of Elias C. Aifantis), 4-9 October, 2015, Antalya/Turkey,(2015) 40 Seiten -
Presentation: Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticity
Generalized Continua as Models for Materials with Multi-scale-Effects or under Multi-field-Actions, 21-26 September 2015, Magdeburg,(2015) -
Presentation: The relaxed micromorphic model for the description of band-gaps in metamaterials(2015) 30 SeitenOnline Volltext: dx.doi.org/
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Presentation: A primer on the relaxed micromorphic continuum model
85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 10 – 14 March 2014, Erlangen, Germany,(2014) 26 Seiten -
Presentation: A canonical extension of Korn's first inequality to H(Curl) motivated by gradient plasticity with plastic spin
8th European Solid Mechanics Conference Graz, Austria July 9-13, 2012,(2012) 48 Seiten -
Presentation: Subgrid interaction and micro-randomness - novel invariances in infinitesimal gradient elasticity
First German-French-Russian Symposium on Generalized Continua, 09.08. to 11.08. 2010, Wittenberg,(2010) -
Presentation: Linear Cosserat elasticity, conformal curvature and bounded stiffness
Euromech 510: Mechanics of Generalized Continua: A hundred years after the Cosserats, May 13-16, 2009, Paris,(2009) -
Presentation: The Reissner-Mindlin plate is the Gamma-limit of Cosserat elasticity
9th SSTA Conference, Jurata, Poland, 14-16 October 2009,(2009) -
Polyconvex models for arbitrary anisotropic materials
79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 31 March - 4 April 2008, Bremen, Germany,Bremen (2008) 20 Seiten -
Presentation: A numerical solution method for an infinitesimal elasto-plastic Cosserat model
7th GAMM-Seminar on Microstructures, January 25-26, Bochum, Germany, 2008,(2008) -
Presentation: Microstructural behavior of transversal isotropic material
79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 31 March - 4 April 2008, Bremen, Germany,(2008) -
Presentation: Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedom
79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 31 March - 4 April 2008, Bremen, Germany,(2008) -
Presentation: The thin-shell Γ-limit for defective elastic crystals(2007) 30 SeitenOnline Volltext: dx.doi.org/
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Modelling of anisotropic damage in arterial walls based on polyconvex stored energy functions
VIII International Conference on Computational Plasticity, COMPLAS VIII, 5. - 7. September 2005, Barcelona,(2005) -
Presentation: A novel dimensionally reduced finite viscoelastic-plastic shell theory(2005)Online Volltext: dx.doi.org/
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Presentation: Constitutive parameters for a nonlinear Cosserat theory : (Oberwolfach 2005)(2005)Online Volltext: dx.doi.org/
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Modellierung von Hyperelastizität und Anisotroper Diskontinuierlicher Schädigung in Biologischen Geweben
Symposium 2004 der Austrian Society of Biomedical Engineering mit dem Thema: Biomedizinische Technik,(2004) -
Presentation: A geometrically exact Cosserat model including sharp interfaces and fracture : mathematical analysis(2003)Online Volltext: dx.doi.org/
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Presentation: Comparison of models for finite plasticity : a numerical study
WCCM V, Fifth World Congress on Computational Mechanics, July 7–12, 2002, Vienna, Austria,(2002) -
Presentation: Optimal BV-estimates for a discontinuous Galerkin method in linear elasticity : presented by Adrian Lew
WCCM V, Fifth World Congress on Computational Mechanics, July 7–12, 2002, Vienna, Austria,(2002) -
Presentation: Optimal BV-estimates for a discontinuous Galerkin method in linear elasticity(2002)Online Volltext: dx.doi.org/