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FB Mathematik
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Thea-Leymann-Str. 9
45141 Essen
45141 Essen
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WSC-S-4.13
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Universitätsprofessor/in, Personal FB Mathematik, Campus Essen
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Gruppe der Professorinnen und Professoren, Fakultätsrat
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WiSe 2024
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SoSe 2024
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WiSe 2023
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SoSe 2023
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WiSe 2022
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 Constitutive Condition for Idealized Isotropic Cauchy Elasticity Involving the Logarithmic StrainIn: Journal of Elasticity , Jg. 157 2025 , Nr. 1 , 23DOI, Online Volltext (Open Access)
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A natural requirement for objective corotational rates : On structure-preserving corotational ratesIn: Acta Mechanica , Jg. 236 2025 , Nr. 4 , S. 2657 - 2689DOI (Open Access)
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Explicit formula for the Γ-convergence homogenised quadratic curvature energy in isotropic Cosserat shell modelsIn: Zeitschrift für Angewandte Mathematik und Physik (ZAMP) , Jg. 76 2025 , Nr. 2 , 76DOI (Open Access)
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Global regularity in a nonlinear relaxed micromorphic continuum on Lipschitz domainsIn: Calculus of Variations and Partial Differential Equations , Jg. 64 2025 , Nr. 2 , 60
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Major symmetry of the induced tangent stiffness tensor for the Zaremba–Jaumann rate and Kirchhoff stress in hyperelasticity : Two different approachesIn: Mathematics and Mechanics of Solids (MMS) 2025 , in pressDOI (Open Access)
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Novel Hdev(Curl)-conforming elements on regular triangulations and Clough–Tocher splits for the planar relaxed micromorphic modelIn: Computational Mechanics 2025 , in pressDOI (Open Access)
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Null-lagrangians in the micro-inertia contribution of the reduced relaxed micromorphic model. : Theoretical and computational insights with applicationsIn: Archive of Applied Mechanics , Jg. 95 2025 , Nr. 2 , 50DOI (Open Access)
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On the representation of fourth- and higher-order anisotropic elasticity tensors in generalized continuum modelsIn: Mathematics and Mechanics of Solids (MMS) 2025 , in pressDOI, Online Volltext (Open Access)
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Regularity for a geometrically nonlinear flat Cosserat micropolar membrane shell with curvatureIn: Annales de l'Institut Henri Poincaré (C): Non Linear Analysis , Jg. 42 2025 , Nr. 1 , S. 163 - 207DOI (Open Access)
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The corotational stability postulate : Positive incremental Cauchy stress moduli for diagonal, homogeneous deformations in isotropic nonlinear elasticityIn: International Journal of Non-Linear Mechanics , Jg. 174 2025 , 105033DOI (Open Access)
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A computational approach to identify the material parameters of the relaxed micromorphic modelIn: Computer Methods in Applied Mechanics and Engineering , Jg. 425 2024 , 116944DOI (Open Access)
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A global higher regularity result for the static relaxed micromorphic model on smooth domainsIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics 2024 , in pressDOI, Online Volltext (Open Access)
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An essay on deformation measures in isotropic thin shell theories : Bending versus curvatureIn: Mathematics and Mechanics of Solids (MMS) , Jg. 30 2024 , Nr. 6 , S. 1393 - 1432DOI, Online Volltext (Open Access)
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From frequency-dependent models to frequency-independent enriched continua for mechanical metamaterialsIn: European Journal of Mechanics / A: Solids , Jg. 106 2024 , Nr. July-August , 105269DOI (Open Access)
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Green's functions for the isotropic planar relaxed micromorphic model : Concentrated force and concentrated coupleIn: International Journal of Solids and Structures , Jg. 292 2024 , 112700DOI, Online Volltext (Open Access)
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Higher order Bernstein–Bézier and Nédélec finite elements for the relaxed micromorphic modelIn: Journal of Computational and Applied Mathematics , Jg. 438 2024 , 115568DOI, Online Volltext (Open Access)
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Intrinsic mixed-dimensional beam-shell-solid couplings in linear Cosserat continua via tangential differential calculusIn: Computer Methods in Applied Mechanics and Engineering , Jg. 432 2024 , 117384DOI, Online Volltext (Open Access)
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Korn-Maxwell-Sobolev inequalities for general incompatibilitiesIn: Mathematical Models and Methods in Applied Sciences , Jg. 34 2024 , Nr. 3 , S. 523 - 570DOI, Online Volltext (Open Access)
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Novel H(symCurl)-conforming finite elements for the relaxed micromorphic sequenceIn: Computer Methods in Applied Mechanics and Engineering , Jg. 418 2024 , 116494DOI, Online Volltext (Open Access)
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Rayleigh waves in isotropic elastic materials with micro-voidsIn: International Journal of Solids and Structures , Jg. 290 2024 , 112661DOI, Online Volltext (Open Access)
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Yet another best approximation isotropic elasticity tensor in plane strainIn: Mathematics and Mechanics of Complex Systems , Jg. 12 2024 , Nr. 4 , S. 547 - 571
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A Geometrically Nonlinear Cosserat (Micropolar) Curvy Shell Model Via Gamma ConvergenceIn: Journal of Nonlinear Science , Jg. 33 2023 , Nr. 5 , 70DOI, Online Volltext (Open Access)
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A Linear Isotropic Cosserat Shell Model Including Terms up to O(h⁵) : Existence and UniquenessIn: Journal of Elasticity , Jg. 154 2023 , Nr. 1-4 , S. 579 - 605DOI, Online Volltext (Open Access)
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A geometrically nonlinear Cosserat shell model for orientable and non-orientable surfaces : Discretization with geometric finite elementsIn: Computer Methods in Applied Mechanics and Engineering , Jg. 416 2023 , 116309DOI, Online Volltext (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 , 126806DOI, Online Volltext (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 - 21DOI (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 - 123DOI, Online Volltext (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 , e202200030DOI (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 , 47DOI, Online Volltext (Open Access)
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Modeling a labyrinthine acoustic metamaterial through an inertiaaugmented relaxed micromorphic approachIn: Mathematics and Mechanics of Solids (MMS) , Jg. 28 2023 , Nr. 10 , S. 2177 - 2201DOI, Online Volltext (Open Access)
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Modeling the size‐effect of metamaterial beams under bending via the relaxed micromorphic continuum
92st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 15. - 19. August 2023, Aachen,In: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 22 2023 , Nr. 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) , e202200033DOI (Open Access) -
On the identification of material parameters in the relaxed micromorphic continuum
93st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 30.Mai - 02.Juni 2023, Dresden,In: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 23 2023 , Nr. 3, Special Issue: 93rd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), , e202300056DOI (Open Access) -
Optimal incompatible Korn–Maxwell–Sobolev inequalities in all dimensionsIn: Calculus of Variations and Partial Differential Equations , Jg. 62 2023 , Nr. 6 , 182DOI, Online Volltext (Open Access)
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Remarks on rank‐one convexity and quasiconvexity for planar functions with an additive volumetric–isochoric split
92st Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), 15. - 19. August 2023, Aachen,In: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 22 2023 , Nr. 1, Special Issue: 92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM) , e202200185DOI (Open Access) -
Simple shear in nonlinear Cosserat micropolar elasticity : Existence of minimizers, numerical simulations, and occurrence of microstructureIn: Mathematics and Mechanics of Solids (MMS) , Jg. 28 2023 , Nr. 7 , S. 1576 - 1602DOI, Online Volltext (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 , Jg. 72 2023 , Nr. 5 , S. 1091 - 1113DOI (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 , Jg. 152 2022 , Nr. 2 , S. 356 - 381
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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 - 553DOI, 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 - 1068DOI, Online Volltext (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 , 102898DOI, Online Volltext (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 - 1333DOI (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 - 1508DOI, Online Volltext (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 , 20210400DOI, Online Volltext (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 , 76DOI (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 , 77DOI (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 , 5DOI (Open Access)
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Polyconvex anisotropic hyperelasticity with neural networksIn: Journal of the Mechanics and Physics of Solids , Jg. 159 2022 , 104703DOI, Online Volltext (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 , 115298DOI, Online Volltext (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 - 1431DOI, Online Volltext (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 , 102920DOI, Online Volltext (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 , 104995DOI, Online Volltext (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 , Nr. 1 , S. 83 - 141DOI, Online Volltext (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 - 24DOI (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 - 13865DOI, Online Volltext (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 - 1539DOI, Online Volltext (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 - 2254
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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 - 2049DOI, Online Volltext (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. 589701DOI, 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 , 150DOI (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 , 127DOI (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 - 755DOI (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 - 11403DOI (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 , 20210158DOI, Online Volltext (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 - 335DOI (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 - 159DOI, 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. 103282DOI, Online Volltext (Open Access)
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Chirality in the planeIn: Journal of the Mechanics and Physics of Solids , Jg. 134 2020 , S. 103753DOI, Online Volltext (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 - 329DOI, 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 - 1096
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Identification of Scale-Independent Material Parameters in the Relaxed Micromorphic Model Through Model-Adapted First Order HomogenizationIn: Journal of Elasticity , Jg. 139 2020 , Nr. 2 , S. 269 - 298DOI, Online Volltext (Open Access)
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More on Anti-plane ShearIn: Journal of Optimization Theory and Applications (JOTA) , Jg. 184 2020 , S. 226 - 249
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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 - 20DOI, Online Volltext (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 - 2631DOI (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 - 290DOI, Online Volltext (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 - 262DOI, Online Volltext (Open Access)
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The Legendre–Hadamard condition in Cosserat elasticity theoryIn: The Quarterly Journal of Mechanics and Applied Mathematics , Jg. 73 2020 , Nr. 4 , S. 293 - 303DOI, Online Volltext (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 - 2923DOI (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 - 1080DOI, 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 - 1502DOI, Online Volltext (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 - 2660DOI, 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 - 361DOI, Online Volltext (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 - 116DOI, Online Volltext (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 - 43
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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 - 120DOI (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) 2019DOI, 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. e201800120DOI, Online Volltext (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 - 4019DOI, 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 - 163DOI, Online Volltext (Open Access)
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Shear, pure and simpleIn: International Journal of Non-Linear Mechanics 2019DOI, Online Volltext (Open Access)
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Soliton solutions in geometrically nonlinear Cosserat micropolar elasticity with large deformationsIn: Wave Motion , Jg. 84 2019 , S. 110 - 124DOI (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 - 654DOI, Online Volltext (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 - 158DOI, Online Volltext (Open Access)
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Existence result for a dislocation based model of single crystal gradient plasticity with isotropic or linear kinematic hardeningIn: The Quarterly Journal of Mechanics and Applied Mathematics , Jg. 71 2018 , Nr. 1 , S. 99 - 124DOI, Online Volltext (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 - 616DOI, Online Volltext (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 - 83DOI (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 - 104DOI, Online Volltext (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 - 1506DOI, Online Volltext (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 - 42DOI, Online Volltext (Open Access)
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The exponentiated Hencky energy : anisotropic extension and case studiesIn: Computational Mechanics , Jg. 61 2018 , Nr. 6 , S. 657 - 685DOI, Online Volltext (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 - 26DOI, Online Volltext (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 - 1481DOI, Online Volltext (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 - 1266
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Continuum Mechanics : Grioli's theorem with weights and the relaxed-polar mechanism of optimal Cosserat rotationsIn: Rendiconti Lincei: Matematica e Applicazioni , Jg. 28 2017 , Nr. 3 , S. 573 - 600DOI, Online Volltext (Open Access)
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Geometrically nonlinear cosserat elasticity in the plane : Applications to chiralityIn: Journal of Mechanics of Materials and Structures (JoMMS) , Jg. 12 2017 , Nr. 5 , S. 689 - 710DOI, Online Volltext (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 - 100DOI (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 - 315DOI, Online Volltext (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 (ZAMP) , Jg. 68 2017 , S. 11DOI, Online Volltext (Open Access)
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On the Convexity of Nonlinear Elastic Energies in the Right Cauchy-Green TensorIn: Journal of Elasticity , Jg. 127 2017 , Nr. 2 , S. 303 - 308
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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. 20160722DOI (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 - 597DOI, Online Volltext (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. 20160790DOI (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 - 871DOI, Online Volltext (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 - 842DOI, Online Volltext (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 - 1554DOI, Online Volltext (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 (ZAMP) , Jg. 68 2017 , Nr. 4 , S. 90DOI, Online Volltext (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 - 146DOI, Online Volltext (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 - 30DOI, Online Volltext (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 - 322DOI, Online Volltext (Open Access)
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Complete band gaps including non-local effects occur only in the relaxed micromorphic modelIn: Comptes Rendus Mecanique , Jg. 344 2016 , Nr. 11-12 , S. 784 - 796DOI (Open Access)
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Dev-Div- and DevSym-DevCurl-inequalities for incompatible square tensor fields with mixed boundary conditionsIn: Control, Optimisation and Calculus of Variations (ESAIM-COCV) , Jg. 22 2016 , Nr. 1 , S. 112 - 133
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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
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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 - 572DOI (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 - 128DOI, Online Volltext (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 - 342 -
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 - 357DOI, Online Volltext (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 - 841DOI, Online Volltext (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 - 243
-
On the sum of squared logarithms inequality and related inequalitiesIn: Journal of Mathematical Inequalities , Jg. 10 2016 , Nr. 1 , S. 1 - 17DOI, Online Volltext (Open Access)
-
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 - 911DOI, Online Volltext (Open Access)
-
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 - 479DOI, Online Volltext (Open Access)
-
Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticityIn: Wave Motion , Jg. 60 2016 , S. 158 - 165DOI, Online Volltext (Open Access)
-
The Exponentiated Hencky Strain Energy in Modeling Tire Derived Material for Moderately Large DeformationsIn: Journal of Engineering Materials and Technology , Jg. 138 2016 , Nr. 3DOI (Open Access)
-
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 - 487DOI, Online Volltext (Open Access)
-
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 - 304DOI, Online Volltext (Open Access)
-
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. 20150510
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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 - 887DOI (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 - 141DOI, Online Volltext (Open Access)
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On the generalised sum of squared logarithms inequalityIn: Journal of Inequalities and Applications , Jg. 2015 2015 , S. 101DOI (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 - 1302DOI, Online Volltext (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 - 1778DOI, Online Volltext (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 (ZAMP) , Jg. 66 2015 , Nr. 4 , S. 1671 - 1693DOI, Online Volltext (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 - 234DOI, Online Volltext (Open Access)
-
The exponentiated Hencky-Logarithmic strain energy : Improvement of planar polyconvexityIn: International Journal of Non-Linear Mechanics , Jg. 71 2015 , S. 48 - 51DOI, Online Volltext (Open Access)
-
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 , Jg. 68 2015 , Nr. 1 , S. 53 - 84
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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 - 1197DOI, Online Volltext (Open Access)
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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 - 330DOI (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 - 570DOI, Online Volltext (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 - 111DOI, Online Volltext (Open Access)
-
A Riemannian approach to strain measures in nonlinear elasticityIn: Comptes Rendus Mecanique , Jg. 342 2014 , Nr. 4 , S. 254 - 257
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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 - 1154
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A unifying perspective : the relaxed linear micromorphic continuumIn: Continuum Mechanics and Thermodynamics , Jg. 26 2014 , Nr. 5 , S. 639 - 681
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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 - 790DOI, Online Volltext (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 - 37DOI, 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 - 397DOI, Online Volltext (Open Access)
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New Poincaré-type inequalitiesIn: Comptes Rendus Mathématique , Jg. 352 2014 , Nr. 2 , S. 163 - 166
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On Grioli's minimum property and its relation to Cauchy's polar decompositionIn: International Journal of Engineering Science , Jg. 80 2014 , S. 209 - 217
-
On the convexity of the function C → f(det C) on positive-definite matricesIn: Mathematics and Mechanics of Solids (MMS) , Jg. 19 2014 , Nr. 4 , S. 369 - 375
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Rank-one convexity and polyconvexity of Hencky-type energiesIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 14 2014 , Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen 2014 , S. 735 - 736
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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 - 42
-
The Armstrong–Frederick cyclic hardening plasticity model with Cosserat effectsIn: Journal of Differential Equations , Jg. 256 2014 , Nr. 11 , S. 3497 - 3523
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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 - 42
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The relaxed micromorphic continuum modelIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 14 2014 , Nr. 1, Special Issue: 85th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Erlangen 2014 , S. 733 - 734
-
Existence theorems in the geometrically non-linear 6-parameter theory of elastic platesIn: Journal of Elasticity , Jg. 112 2013 , Nr. 2 , S. 185 - 198
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Some Poincaré type inequalities for quadratic matrix fields
84th Annual Meeting of the Gesellschaft für Angewandte Mathematik und Mechanik,18 – 22 March 2013, Novi Sad, Serbia,In: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 13 2013 , Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013 , S. 359 - 360 -
Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithmIn: Journal of Inequalities and Applications , Jg. 2013 2013 , S. 168DOI (Open Access)
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The Armstrong-Frederick Plasticity model with Cosserat effectsIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 13 2013 , Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013 , S. 357 - 358
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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) , 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 - 370
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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) , Jg. 13 2013 , Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013 , S. 361 - 362
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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 (ZAMP) , Jg. 64 2013 , Nr. 6 , S. 1679 - 1688
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Well-posedness for dislocation based gradient viscoplasticity II : General nonassociative monotone plastic flowsIn: Mathematics and Mechanics of Complex Systems , Jg. 1 2013 , Nr. 2 , S. 149 - 176DOI (Open Access)
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Maxwell meets Korn : a new coercive inequality for tensor fields in in R N×N with square-integrable exterior derivativeIn: Mathematical Methods in the Applied Sciences , Jg. 35 2012 , Nr. 1 , S. 65 - 71
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On a canonical extension of Korn's first and Poincaré's inequalities to H(CURL)In: Journal of Mathematical Sciences , Jg. 185 2012 , Nr. 5 , S. 721 - 727
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On the equations of geometrically nonlinear elastic plates with rotational degrees of freedomIn: Annals of the Academy of Romanian Scientists: Series on Mathematics and its Applications , Jg. 4 2012 , Nr. 1 , S. 97 - 103
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Poroplasticity with Cosserat effectsIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 92 2012 , Nr. 6 , S. 462 - 478
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Well-Posedness for dislocation based gradient viscoplasticity I : Subdifferential caseIn: SIAM Journal on Mathematical Analysis , Jg. 44 2012 , Nr. 3 , S. 1694 - 1712
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A Korn's inequality for incompatible tensor fieldsIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 11 2011 , Nr. 1, Special Issue: 82nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Graz 2011 , S. 683 - 684
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A canonical extension of Korn's first inequality to H(Curl) motivated by gradient plasticity with plastic spinIn: Comptes Rendus Mathématique , Jg. 349 2011 , Nr. 23-24 , S. 1251 - 1254
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A solution method for an infinitesimal elastoplastic Cosserat modelIn: Mathematical Models and Methods in Applied Sciences , Jg. 17 2011 , Nr. 8 , S. 1211 - 1229
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A viscoelastic thin rod model for large deformations : Numerical examplesIn: Mathematics and Mechanics of Solids (MMS) , Jg. 16 2011 , Nr. 8 , S. 887 - 896
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FETI-DP domain decomposition methods for elasticity with structural changes: P-elasticityIn: Mathematical Modelling and Numerical Analysis (ESAIM-M2AN) , Jg. 45 2011 , Nr. 3 , S. 563 - 602
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Transversely isotropic material: Nonlinear Cosserat versus classical approachIn: Continuum Mechanics and Thermodynamics , Jg. 23 2011 , Nr. 1 , S. 27 - 34
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Existence and Uniqueness for Rate-Independent Infinitesimal Gradient Plasticity with Isotropic Hardening and Plastic SpinIn: Mathematics and Mechanics of Solids (MMS) , Jg. 15 2010 , Nr. 6 , S. 691 - 703
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Existence, uniqueness and stability in linear Cosserat elasticity for weakest curvature conditionsIn: Mathematics and Mechanics of Solids (MMS) , Jg. 15 2010 , Nr. 1 , S. 78 - 95
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Parallel simulation of an infinitesimal elasto-plastic Cosserat modelIn: GAMM-Mitteilungen , Jg. 33 2010 , Nr. 1 , S. 79 - 94
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Solving geometrically exact micromorphic elasticity with a staggered algorithmIn: GAMM-Mitteilungen , Jg. 33 2010 , Nr. 1 , S. 57 - 72
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Stable identification of linear isotropic Cosserat parameters: bounded stiffness in bending and torsion implies conformal invariance of curvatureIn: Acta Mechanica , Jg. 211 2010 , Nr. 3 , S. 237 - 249
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A new paradigm : the linear isotropic Cosserat model with conformally invariant curvature energyIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 89 2009 , Nr. 2 , S. 107 - 122
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A numerical study for linear isotropic Cosserat elasticity with conformally invariant curvatureIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 89 2009 , Nr. 7 , S. 552 - 569
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Approximation of anisotropic elasticity tensors at the reference state with polyconvex energiesIn: Archive of Applied Mechanics , Jg. 79 2009 , Nr. 6-7 , S. 651 - 657
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Construction of anisotropic polyconvex energies and applications to thin shellsIn: Computational Materials Science , Jg. 46 2009 , Nr. 3 , S. 639 - 641
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H1loc-stress and strain regularity in Cosserat plasticityIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 89 2009 , Nr. 4 , S. 257 - 266
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Mean field modeling of isotropic random Cauchy elasticity versus microstretch elasticityIn: Zeitschrift für Angewandte Mathematik und Physik , Jg. 60 2009 , Nr. 3 , S. 479 - 497
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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 - 334
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Numerical approximation of incremental infinitesimal gradient plasticityIn: International journal for numerical methods in engineering , Jg. 77 2009 , Nr. 3 , S. 414 - 436
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On Constitutive and Configurational Aspects of Models for Gradient Continua with MicrostructureIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 89 2009 , Nr. 8 , S. 687 - 697
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Simple shear in nonlinear Cosserat elasticity: Bifurcation and induced microstructureIn: Continuum Mechanics and Thermodynamics , Jg. 21 2009 , Nr. 3 , S. 195 - 221
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Subgrid interaction and micro-randomness : Novel invariance requirements in infinitesimal gradient elasticityIn: International Journal of Solids and Structures , Jg. 46 2009 , Nr. 25-26 , S. 4261 - 4276
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The Reissner-Mindlin plate is the Gamma-limit of Cosserat elasticityIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 9 2009 , Nr. 1, Special Issue: 80th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Gdansk 2009 , S. 541 - 542
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Theory and FE-analysis for structures with large deformation under magnetic loadingIn: Computational Mechanics , Jg. 44 2009 , Nr. 1 , S. 93 - 102
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A geometrically exact thin membrane model : Investigation of large deformations and wrinklingIn: International journal for numerical methods in engineering , Jg. 74 2008 , Nr. 6 , S. 871 - 893
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A note on approximation of Prandtl-Reuss plasticity through Cosserat plasticityIn: Quarterly of applied mathematics , Jg. 66 2008 , Nr. 2 , S. 351 - 357
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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 - 3506
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Curl bounds Grad on SO(3)In: ESAIM Control Optimisation and Calculus of Variations , Jg. 14 2008 , Nr. 1 , S. 148 - 159
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FETI-DP Methods for P-ElasticityIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 8 2008 , Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008 , S. 10859 - 10860
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Microstructural behaviour of transversal isotropic materialIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 8 2008 , Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008 , S. 10559 - 10560
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Notes on strain gradient plasticity: finite strain covariant modeling and global existence in the infinitesimal rate - independent caseIn: Mathematical models and methods in applied sciences , Jg. 19 2008 , Nr. 2 , S. 307 - 346
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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) , Jg. 8 2008 , Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008 , S. 10557 - 10558
-
Polyconvex Models for Arbitrary Anisotropic MaterialsIn: 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. 10415 - 10416
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Regularity up to the Boundary for Nonlinear Elliptic Systems Arising in Time-Incremental Infinitesimal Elasto-plasticityIn: SIAM Journal on Mathematical Analysis , Jg. 40 2008 , Nr. 1 , S. 21 - 43
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Remarks on invariant modelling in finite strain gradient plasticityIn: Technische Mechanik: wissenschaftliche Zeitschrift für Anwendungen der technischen Mechanik , Jg. 28 2008 , Nr. 1 , S. 13 - 22
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Symmetric Cauchy stresses do not imply symmetric Biot strains in weak formulations of isotropic hyperelasticity with rotational degrees of freedomIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 8 2008 , Nr. 1, Special Issue: 79th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Bremen 2008 , S. 10419 - 10420
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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 - 30
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A geometrically exact Cosserat shell-model for defective elastic crystals : Justification via Γ-convergenceIn: Interfaces and free boundaries , Jg. 9 2007 , Nr. 4 , S. 455 - 492
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A geometrically exact membrane model for isotropic foils and fabricsIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 7 2007 , Nr. 1, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007 , S. 4030007 - 4030008
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A geometrically exact micromorphic model for elastic metallic foams accounting for affine microstructure : modelling, existence of minimizers, identification of moduli and computational resultsIn: Journal of elasticity: the physical and mathematical science of solids , Jg. 87 2007 , Nr. 2 , S. 239 - 276
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A geometrically exact planar Cosserat shell model with microstructure : existence of minimizers for zero Cosserat couple modulusIn: Mathematical models and methods in applied sciences , Jg. 17 2007 , Nr. 3 , S. 363 - 392
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Global existence in rate-independent infinitesimal strain gradient plasticityIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 7 2007 , Nr. 1, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007 , S. 4080037 - 4080038
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On the construction of anisotropic polyconvex energy densitiesIn: Proceedings in Applied Mathematics and Mechanics: PAMM / 6th International Congress on Industrial and Applied Mathematics, ICIAM07, and GAMM Annual Meeting , 16–20 July 2007, Zürich , Jg. 7 2007 , Nr. 1, Special Issue: Sixth International Congress on Industrial Applied Mathematics (ICIAM07) and GAMM Annual Meeting, Zürich 2007 , S. 4060009 - 4060010
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Well-posedness of dynamic Cosserat plasticityIn: Applied Mathematics & Optimization , Jg. 56 2007 , Nr. 1 , S. 19 - 35
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A finite-strain elastic–plastic Cosserat theory for polycrystals with grain rotationsIn: International Journal of engineering science , Jg. 44 2006 , Nr. 8-9 , S. 574 - 594
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A note on tensile instabilities and loss of ellipticity for a fiber-reinforced nonlinearly elastic solidIn: Archives of mechanics: (=Archiwum mechaniki stosowanej) , Jg. 58 2006 , Nr. 3 , S. 293 - 303
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A polyconvex framework for soft biological tissues : Adjustment to experimental dataIn: International Journal of Solids and Structures , Jg. 43 2006 , Nr. 20 , S. 6052 - 6070
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Constitutive modeling and FEM for a nonlinear Cosserat continuumIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 6 2006 , Nr. 1, Special Issue: GAMM Annual Meeting 2006 – Berlin , S. 499 - 500
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Existence of minimizers for a finite-strain micromorphic elastic solidIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics , Jg. 136 2006 , Nr. 5 , S. 997 - 1012
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Materially stable constitutive equations for arterial walls based on polyconvex energies : application to damage modeling and residual stressesIn: Journal of Biomechanics / 5th World Congress of Biomechanics, Munich, July 29th - August 4th 2006 , Jg. 39 2006 , Nr. Supplement 1: Abstracts of the 5th World Congress of Biomechanics , S. 409
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The Cosserat couple modulus for continuous solids is zero viz the linearized Cauchy‐stress tensor is symmetricIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 86 2006 , Nr. 11 , S. 892 - 912
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A geometrically exact viscoplastic membrane-shell with viscoelastic transverse shear resistance avoiding degeneracy in the thin-shell limit : Part I: The viscoelastic membrane-plateIn: Zeitschrift für Angewandte Mathematik und Physik , Jg. 56 2005 , Nr. 1 , S. 148 - 182
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A variational approach for materially stable anisotropic hyperelasticityIn: International Journal of Solids and Structures , Jg. 42 2005 , Nr. 15 , S. 4352 - 4371
-
Critique of "Two-dimensional examples of rank-one convex functions that are not quasiconvex" by M. K. Benaouda and J. J. TelegaIn: Annales Polonici Mathematici , Jg. 86 2005 , Nr. 2 , S. 193 - 195
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Infinitesimal elastic–plastic Cosserat micropolar theory : modelling and global existence in the rate-independent caseIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics , Jg. 135 2005 , Nr. 5 , S. 1017 - 1039
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Local existence and uniqueness for a geometrically exact membrane‐plate with viscoelastic transverse shear resistanceIn: Mathematical Methods in the Applied Sciences , Jg. 28 2005 , Nr. 9 , S. 1031 - 1060
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Local existence and uniqueness for quasistatic finite plasticity with grain boundary relaxationIn: Quarterly of applied mathematics , Jg. 63 2005 , Nr. 1 , S. 88 - 116
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The Γ-limit of a finite strain Cosserat model for asymptotycally thin domains and a consequence for the Cosserat couple modulusIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 5 2005 , Nr. 1, Special Issue: GAMM Annual Meeting 2005 – Luxembourg , S. 629 - 630
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A geometrically exact Cosserat shell-model including size effects, avoiding degeneracy in the thin shell limit : Part I: Formal dimensional reduction for elastic plates and existence of minimizers for positive Cosserat couple modulusIn: Continuum Mechanics and Thermodynamics , Jg. 16 2004 , Nr. 6 , S. 577 - 628
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Existence of minimizers for a geometrically exact Cosserat solidIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 4 2004 , Nr. 1 , S. 548 - 549
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Optimal BV estimates for a discontinuous Galerkin method in linear elasticityIn: Applied mathematics research eXpress , Jg. 3 2004 , S. 73 - 106
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Comparison of models for finite plasticity : a numerical studyIn: Computing and Visualization in Science , Jg. 6 2003 , Nr. 1 , Seiten 23 - 35
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Construction of polyconvex, anisotropic free-energy functionsIn: Proceedings in Applied Mathematics and Mechanics: PAMM , Jg. 2 2003 , Nr. 1 , S. 172 - 173
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Finite multiplicative plasticity for small elastic strains with linear balance equations and grain boundary relaxationIn: Continuum Mechanics and Thermodynamics , Jg. 15 2003 , Nr. 2 , Seiten 161-195
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Invariant formulation of hyperelastic transverse isotropy based on polyconvex free energy functionsIn: International Journal of Solids and Structures , Jg. 40 2003 , S. 401 - 445
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Polyconvexity of generalized polynomial-type hyperelastic strain energy funtions for near-incompressibilityIn: International Journal of Solids and Structures , Jg. 40 2003 , Nr. 11 , S. 2767 - 2791
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On Korn's first inequality with non-constant coefficientsIn: Proceedings of the Royal Society of Edinburgh: Section A: Mathematics , Jg. 132 2002 , Nr. 1 , S. 221 - 243
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On a viscoplastic approximation in finite plasticityIn: Proceedings in Applied Mathematics and Mechanics (PAMM) , Jg. 1 2002 , Nr. 1 , S. 403 - 404
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A model describing small elastic deformations and Korn's inequality with nonconstant coefficientsIn: ZAMM: Zeitschrift für Angewandte Mathematik und Mechanik , Jg. 81 2001 , Nr. S3 , S. 607 - 608
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Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition2016
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Modeling real phononic crystals via the weighted relaxed micromorphic model with free and gradient micro-inertia2016
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On isotropy conditions in second gradient materials
87th Annual Meeting of the International Association of Applied Mathematics and Mechanics, GAMM 2016, March 7.-11.2016, Braunschweig, Germany,2016 -
Optimality of the relaxed polar factors by a characterization of the set of real square roots of real symmetric matrices2016
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The relaxed-polar mechanism of locally optimal Cosserat rotations for an idealized nanoindentation and comparison with 3D-EBSD experiments
Emerging trends in applied mathematics and mechanics, ETAMM 2016, May 30 - June 3, 2016, Perpignan, France,2016 -
A generalization of Korn’s first inequality to incompatible tensor fields with applications in gradient plasticity2015
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Correct traction boundary conditions in the indeterminate couple stress model2015
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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 backstress2015
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Rank one convexity of the exponentiated Hencky-logarithmic strain energy in finite elastostatics2014
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Notes on FETI-DP domain decomposition methods for P-elasticity2010
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Experiment and modelling of the microstructural behaviour for transversaly isotropic materials under tension loading2008
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Reconsidering the linear isotropic indeterminate couple stress model (Koiter-Mindlin-Toupin-model)2008
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Relations of constants for isotropic linear Cosserat elasticity2008
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Bella Figura in Udine : Report zum CISM-Kurs in Udine
CISM-Kurs "Poly-, Quasi-, and Rank-One Convexity in applied mechanics", 24.09. bis 28.09.2007 in Udine, Italien.,2007 -
PrefaceIn: Poly-, Quasi- and Rank-One Convexity in Applied Mechanics / Schröder, Jörg; Neff, Patrizio (Hrsg.) 2010
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Unique continuation for first-order systems with integrable coefficients and applications to elasticity and plasticityIn: Comptes Rendus Mathématique , Jg. 351 2013 , Nr. 5/6 , S. 247 - 250
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The axiomatic deduction of the quadratic Hencky strain energy by Heinrich Hencky2014Online Volltext (Open Access)
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On the Coercivity of Strain Energy Functions in Generalized Models of 6-Parameter ShellsIn: Sixty Shades of Generalized Continua: Dedicated to the 60th Birthday of Prof. Victor A. Eremeyev / Altenbach, Holm; Berezovski, Arkadi; dell'Isola, Francesco; Porubov, Alexey (Hrsg.) 2023 , S. 63 - 90
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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 - 739
-
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 - 105
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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 - 30
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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 - 113
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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 - 180
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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.) 2016
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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 - 413DOI (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 - 1485
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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 - 159
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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 - 64DOI, Online Volltext (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. 24
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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 - 66
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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 - 176
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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 - 130
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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 - 63
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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 - 232
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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 - 94
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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 - 361
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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 - 270
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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 - 94
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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 - 21
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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 - 140
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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. 272
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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 - 805
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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 - 348
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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 - 1315
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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 - 180
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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 - 274
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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 2002
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The geometrically nonlinear Cosserat micropolar shear-stretch energy : Part I: A general parameter reduction formula and energy-minimizing microrotations in 2D2016
(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 nevertheless2016
(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 inequality2013
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 765) -
Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotations2013
(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 dimensions2013
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 763) -
Poincaré meets Korn via Maxwell : extending Korn's first inequality to incompatible tensor fields2013
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 753) -
Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithm2013
(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 dimensions2013
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 764) -
Existence theorems in the geometrically non-linear 6-parametric theory of elastic plates2012
(Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen ; 754) -
Uniqueness of integrable solutions to nabla zeta = G zeta zeta gamma = 0 or integrable tensor2012
(Schriftenreihe der Fakultät für Mathematik, Universität Duisburg-Essen ; 756) -
Poly-, quasi- and rank-one convexity in applied mechanicsWien 2010
(CISM courses and lectures ; 516) -
Geometrically exact Cosserat theory for bulk behaviour and thin structures : modelling and mathematical analysis2004
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Mathematische Analyse multiplikativer ViskoplastizitätAachen 2000 (Berichte aus der Mathematik)
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Complete frequency band-gaps in the relaxed micromorphic model2016
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Rank-one convexity vs. polyconvexity for isochoric energies on GL^+(2)2016
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The sum of squared logarithms inequality2016
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Minimal geodesics on GL(n) for left-invariant, right-O(n)-invariant Riemannian metrics2015
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Construction of anisotropic polyconvex energies on the basis of crystallographic motivated structural tensors2008
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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 -
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 -
Modeling Tire Derived Material for Moderately Large Deformations
4th International Conference on Material Modeling, May 27.-29., 2015, Berkeley, California,2015 -
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 -
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 metamaterials2015
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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 -
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 -
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 -
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 -
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 -
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 analysis2003
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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 elasticity2002
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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