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FB Mathematik
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Thea-Leymann-Str. 9
45141 Essen
45141 Essen
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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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2024 WS
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2024 SS
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2023 WS
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2023 SS
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2022 WS
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 computational approach to identify the material parameters of the relaxed micromorphic modelIn: Computer Methods in Applied Mechanics and Engineering Jg. 425 (2024) 116944Online Volltext: dx.doi.org/ (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 pressOnline Volltext: dx.doi.org/ (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, 105269Online Volltext: dx.doi.org/ (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) 112700Online Volltext: dx.doi.org/ (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) 115568Online Volltext: dx.doi.org/ (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) 117384Online Volltext: dx.doi.org/ (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 - 570Online Volltext: dx.doi.org/ (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) 116494Online Volltext: dx.doi.org/ (Open Access)
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Rayleigh waves in isotropic elastic materials with micro-voidsIn: International Journal of Solids and Structures Jg. 290 (2024) 112661Online Volltext: dx.doi.org/ (Open Access)
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A Geometrically Nonlinear Cosserat (Micropolar) Curvy Shell Model Via Gamma ConvergenceIn: Journal of Nonlinear Science Jg. 33 (2023) Nr. 5, 70Online Volltext: dx.doi.org/ (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 - 605Online Volltext: dx.doi.org/ (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) 116309Online 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, 126806Online 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 - 21Online 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 - 123Online 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, e202200030Online 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, 47Online 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) Jg. 28 (2023) Nr. 10, S. 2177 - 2201Online Volltext: dx.doi.org/ (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), e202200033Online Volltext: dx.doi.org/ (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),, e202300056Online Volltext: dx.doi.org/ (Open Access) -
Optimal incompatible Korn–Maxwell–Sobolev inequalities in all dimensionsIn: Calculus of Variations and Partial Differential Equations Jg. 62 (2023) Nr. 6, 182Online Volltext: dx.doi.org/ (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), e202200185Online Volltext: dx.doi.org/ (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 - 1602Online Volltext: dx.doi.org/ 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 - 1113Online 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 Jg. 152 (2022) Nr. 2, S. 356 - 381Online 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 - 553Online 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 - 1068Online Volltext: dx.doi.org/ 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) 102898Online 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 - 1333Online 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 - 1508Online 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, 20210400Online 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, 76Online 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, 77Online 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, 5Online 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) 104703Online 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) 115298Online 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 - 1431Online 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) 102920Online 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) 104995Online 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) Nr. 1, S. 83 - 141Online 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 - 24Online 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 - 13865Online 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 - 1539Online 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 - 2254Online 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 - 2049Online 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. 589701Online 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, 150Online 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, 127Online 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 - 755Online 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 - 11403Online 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, 20210158Online 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 - 335Online 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 - 159Online 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. 103282Online 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. 103753Online 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 - 329Online 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 - 1096Online 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 Jg. 139 (2020) Nr. 2, S. 269 - 298Online Volltext: dx.doi.org/ (Open Access)
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More on Anti-plane ShearIn: Journal of Optimization Theory and Applications (JOTA) Jg. 184 (2020) S. 226 - 249Online 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 - 20Online 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 - 2631Online 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 - 290Online 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 - 262Online 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 Jg. 73 (2020) Nr. 4, S. 293 - 303Online 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 - 2923Online 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 - 1080Online 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 - 1502Online 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 - 2660Online 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 - 361Online 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 - 116Online 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 - 43Online 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 - 120Online 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)Online 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. e201800120Online 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 - 4019Online 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 - 163Online Volltext: dx.doi.org/ (Open Access)
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Shear, pure and simpleIn: International Journal of Non-Linear Mechanics (2019)Online 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 - 124Online 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 - 654Online 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 - 158Online 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: The Quarterly Journal of Mechanics and Applied Mathematics Jg. 71 (2018) Nr. 1, S. 99 - 124Online 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 - 616Online 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 - 83Online 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 - 104Online 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 - 1506Online 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 - 42Online 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 - 685Online 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 - 26Online 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 - 1481Online 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 - 1266Online Volltext: dx.doi.org/
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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 - 600Online 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 (JoMMS) Jg. 12 (2017) Nr. 5, S. 689 - 710Online 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 - 100Online 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 - 315Online 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 (ZAMP) Jg. 68 (2017) S. 11Online Volltext: dx.doi.org/ (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 6 Seiten - 308Online 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. 20160722Online 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 - 597Online 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. 20160790Online 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 - 871Online 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 - 842Online 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 - 1554Online 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 (ZAMP) Jg. 68 (2017) Nr. 4, S. 90Online 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 - 146Online 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 - 30Online 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 - 322Online 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 Mecanique Jg. 344 (2016) Nr. 11-12, S. 784 - 796Online 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: Control, Optimisation and Calculus of Variations (ESAIM-COCV) Jg. 22 (2016) Nr. 1, S. 112 - 133Online 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 SeitenOnline 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 - 572Online 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 - 128Online 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 - 342Online 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 - 357Online 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 - 841Online 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 - 243Online 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 - 17Online 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 - 911Online 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 - 479Online Volltext: dx.doi.org/ (Open Access)
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Soliton-like solutions based on geometrically nonlinear Cosserat micropolar elasticityIn: Wave Motion Jg. 60 (2016) S. 158 - 165Online 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,Online 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 - 487Online 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 - 304Online 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. 20150510Online 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 - 887Online 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 - 141Online 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. 101Online 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 - 1302Online 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 - 1778Online 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 (ZAMP) Jg. 66 (2015) Nr. 4, S. 1671 - 1693Online 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 - 51Online 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 - 234Online 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 - 1197Online 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 Jg. 68 (2015) Nr. 1, S. 53 - 84Online 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 - 330Online 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 - 570Online 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 - 111Online 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 - 257Online 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 - 1154Online 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 - 681Online 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 - 790Online 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 - 37Online 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 - 397Online Volltext: dx.doi.org/ (Open Access)
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New Poincaré-type inequalitiesIn: Comptes Rendus Mathématique Jg. 352 (2014) Nr. 2, S. 163 - 166Online Volltext: dx.doi.org/
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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 - 217Online Volltext: dx.doi.org/
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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 - 375Online Volltext: dx.doi.org/
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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 - 736Online 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 - 42Online 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 - 3523Online 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 - 42Online Volltext: dx.doi.org/
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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 - 734Online 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 - 198Online Volltext: dx.doi.org/
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Some Poincaré type inequalities for quadratic matrix fieldsIn: 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 - 360Online 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. 168Online 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) Jg. 13 (2013) Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 357 - 358Online 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) 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 - 370Online 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) Jg. 13 (2013) Nr. 1, 84th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), Novi Sad 2013, S. 361 - 362Online 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 (ZAMP) Jg. 64 (2013) Nr. 6, S. 1679 - 1688Online Volltext: dx.doi.org/
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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 - 176Online Volltext: dx.doi.org/
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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 models and methods in applied sciences Jg. 35 (2012) Nr. 1, S. 65 - 71Online Volltext: dx.doi.org/
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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 - 727Online Volltext: dx.doi.org/
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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 - 478Online Volltext: dx.doi.org/
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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 - 1712Online Volltext: dx.doi.org/
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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 - 684Online Volltext: dx.doi.org/
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A canonical extension of Korn's first inequality to H(Curl) motivated by gradient plasticity with plastic spinIn: Comptes Rendus Mathematique Jg. 349 (2011) Nr. 23-24, S. 1251 - 1254Online Volltext: dx.doi.org/
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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 - 1229Online Volltext: dx.doi.org/
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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 - 896Online Volltext: dx.doi.org/
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FETI-DP domain decomposition methods for elasticity with structural changes: P-elasticityIn: ESAIM Mathematical Modelling and Numerical Analysis Jg. 45 (2011) Nr. 3, S. 563 - 602Online Volltext: dx.doi.org/
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Transversely isotropic material: Nonlinear Cosserat versus classical approachIn: Continuum Mechanics and Thermodynamics Jg. 23 (2011) Nr. 1, S. 27 - 34Online Volltext: dx.doi.org/
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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 - 703Online Volltext: dx.doi.org/
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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 - 95Online Volltext: dx.doi.org/
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Parallel simulation of an infinitesimal elasto-plastic Cosserat modelIn: GAMM-Mitteilungen Jg. 33 (2010) Nr. 1, S. 79 - 94Online Volltext: dx.doi.org/
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Solving geometrically exact micromorphic elasticity with a staggered algorithmIn: GAMM-Mitteilungen Jg. 33 (2010) Nr. 1, S. 57 - 72Online Volltext: dx.doi.org/
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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 - 249Online Volltext: dx.doi.org/
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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 - 122Online Volltext: dx.doi.org/
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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 - 569Online Volltext: dx.doi.org/
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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 - 657Online Volltext: dx.doi.org/
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Construction of anisotropic polyconvex energies and applications to thin shellsIn: Computational Materials Science Jg. 46 (2009) Nr. 3, S. 639 - 641Online Volltext: dx.doi.org/
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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 - 266Online Volltext: dx.doi.org/
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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 - 497Online 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 - 334Online Volltext: dx.doi.org/
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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 - 436Online Volltext: dx.doi.org/
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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 - 697Online Volltext: dx.doi.org/
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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 - 221Online Volltext: dx.doi.org/
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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 - 4276Online Volltext: dx.doi.org/
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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 - 542Online Volltext: dx.doi.org/
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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 - 102Online Volltext: dx.doi.org/
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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 - 893Online Volltext: dx.doi.org/
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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 - 357Online 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 - 3506Online Volltext: dx.doi.org/
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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 - 159Online Volltext: dx.doi.org/
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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 - 10860Online Volltext: dx.doi.org/
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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 - 10560Online Volltext: dx.doi.org/
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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 - 346Online Volltext: dx.doi.org/ Online Volltext
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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 - 10558Online Volltext: dx.doi.org/
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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 - 10416Online Volltext: dx.doi.org/
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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 - 43Online Volltext: dx.doi.org/
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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: Acta Mechanica Jg. 197 (2008) Nr. 1, S. 19 - 30Online 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: 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 - 10420Online Volltext: dx.doi.org/
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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 - 492Online Volltext: dx.doi.org/
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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 - 4030008Online Volltext: dx.doi.org/
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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 - 276Online Volltext: dx.doi.org/
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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 - 392Online Volltext: dx.doi.org/
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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 - 4080038Online Volltext: dx.doi.org/
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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 - 4060010Online Volltext: dx.doi.org/
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Well-posedness of dynamic Cosserat plasticityIn: Applied Mathematics & Optimization Jg. 56 (2007) Nr. 1, S. 19 - 35Online Volltext: dx.doi.org/ Online Volltext
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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 - 594Online Volltext: dx.doi.org/
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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 - 6070Online Volltext: dx.doi.org/
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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 - 500Online Volltext: dx.doi.org/
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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 - 1012Online Volltext: dx.doi.org/
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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. 409Online Volltext: dx.doi.org/
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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 - 912Online Volltext: dx.doi.org/
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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 - 182Online Volltext: dx.doi.org/
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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 - 4371Online Volltext: dx.doi.org/
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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 - 195Online Volltext: dx.doi.org/
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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 - 1039Online Volltext: dx.doi.org/
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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 - 1060Online Volltext: dx.doi.org/
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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 - 116Online Volltext: dx.doi.org/
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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 - 630Online Volltext: dx.doi.org/
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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 - 628Online Volltext: dx.doi.org/
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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 - 549Online Volltext: dx.doi.org/
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Optimal BV estimates for a discontinuous Galerkin method in linear elasticityIn: Applied mathematics research eXpress Jg. 3 (2004) S. 73 - 106Online Volltext: dx.doi.org/
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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 - 35Online Volltext: dx.doi.org/
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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 - 173Online Volltext: dx.doi.org/
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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 161-195Online Volltext: dx.doi.org/
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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 - 445Online Volltext: dx.doi.org/
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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 - 2791Online Volltext: dx.doi.org/
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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 - 243Online Volltext: dx.doi.org/ Online Volltext
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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 - 404Online Volltext: dx.doi.org/
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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 - 608Online Volltext: dx.doi.org/ Online Volltext
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Injectivity of the Cauchy-stress tensor along rank-one connected lines under strict rank-one convexity condition(2016) 4 Seiten
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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
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 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
Emerging trends in applied mathematics and mechanics, ETAMM 2016, May 30 - June 3, 2016, Perpignan, France,(2016) 28 Seiten -
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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Rank one convexity of the exponentiated Hencky-logarithmic strain energy in finite elastostatics(2014)
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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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Bella Figura in Udine : Report zum CISM-Kurs in Udine
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Preface of the guest-editors AuthorsIn: GAMM-Mitteilungen Jg. 34 (2011) Nr. 1, S. 8 - 9Online Volltext: dx.doi.org/
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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 - 250Online Volltext: dx.doi.org/
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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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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 - 90Online 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 - 739Online 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 - 105Online 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 - 30Online 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 - 113Online 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 - 180Online 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.) 2016Online 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 - 413Online 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 - 1485Online 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 - 159Online 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 - 64Online 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. 24Online 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 - 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 - 176Online 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 - 130Online 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 - 63Online 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 - 232Online 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 - 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 - 361Online 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 - 270Online 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 - 94Online 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 - 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 - 140Online 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. 272Online 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 - 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 - 1315Online 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 - 180Online 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 - 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 2DIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 795 (2016) 21 Seiten
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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 neverthelessIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 796 (2016) 37 Seiten
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Counterexamples in the theory of coerciveness for linear elliptic systems related to generalizations of Korn's second inequalityIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 765 (2013) 8 S.
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Existence of minimizers in the geometrically non-linear 6-parameter resultant shell theory with drilling rotationsIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 761 (2013) 31 S.
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On an extension of Korn's first inequality to incompatible tensor fields on domains of arbitrary dimensionsIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 763 (2013) 24 S.
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Poincaré meets Korn via Maxwell : extending Korn's first inequality to incompatible tensor fieldsIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 753 (2013) 39 S.
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Sum of squared logarithms : an inequality relating positive definite matrices and their matrix logarithmIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 762 (2013) 16 S.
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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 dimensionsIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 764 (2013) 29 S.
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Existence theorems in the geometrically non-linear 6-parametric theory of elastic platesIn: Schriftenreihe der Fakultät für Mathematik / Universität Duisburg-Essen Jg. 754 (2012) 19 S.
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Uniqueness of integrable solutions to nabla zeta = G zeta zeta gamma = 0 or integrable tensorIn: Schriftenreihe der Fakultät für Mathematik, Universität Duisburg-Essen Jg. 756 (2012) 9 S.
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Poly-, quasi- and rank-one convexity in applied mechanicsIn: CISM courses and lectures Wien Jg. 516 (2010) 361 S.Online Volltext: dx.doi.org/
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Geometrically exact Cosserat theory for bulk behaviour and thin structures : modelling and mathematical analysis(2004)
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Mathematische Analyse multiplikativer ViskoplastizitätIn: Berichte aus der Mathematik Aachen (2000) VIII, 210 Seiten
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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/