Homogenization of layered materials with rigid components in single-slip finite crystal plasticity
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Publication:2403771
DOI10.1007/s00526-017-1171-3zbMath1375.49015arXiv1604.03483OpenAlexW2340310562WikidataQ59529137 ScholiaQ59529137MaRDI QIDQ2403771
Fabian Christowiak, Carolin Kreisbeck
Publication date: 12 September 2017
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.03483
Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Methods involving semicontinuity and convergence; relaxation (49J45) Homogenization in equilibrium problems of solid mechanics (74Q05)
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Cites Work
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- Kinematic description of crystal plasticity in the finite kinematic framework: A micromechanical understanding of \(\mathbf F=\mathbf F^e\mathbf F^p\)
- Allgemeine Kontinuumstheorie der Versetzungen und Eigenspannungen
- Homogenization of integrals with pointwise gradient constraints via the periodic unfolding method
- Homogenization of nonconvex integral functionals and cellular elastic materials
- Periodic solutions and homogenization of non linear variational problems
- An introduction to \(\Gamma\)-convergence
- Computational homogenization analysis in finite elasticity: material and structural instabilities on the micro- and macro-scales of periodic composites and their interaction.
- Nonconvex energy minimization and dislocation structures in ductile single crystals
- Convex integration with constraints and applications to phase transitions and partial differential equations
- Revisiting brittle fracture as an energy minimization problem
- Derivation of \(\mathbf{F} = \mathbf{F}^{\operatorname{e}} \mathbf{F}^{\operatorname{p}}\) as the continuum limit of crystalline slip
- Two-scale \(\Gamma \)-convergence of integral functionals and its application to homogenisation of nonlinear high-contrast periodic composites
- On periodic homogenization in perfect elasto-plasticity
- Single-slip elastoplastic microstructures
- Weak continuity and lower semicontinuity results for determinants
- Homogenization of integral energies under periodically oscillating differential constraints
- A-Quasiconvexity: Relaxation and Homogenization
- Asymptotic Behavior of Crystal Plasticity with One Slip System in the Limit of Rigid Elasticity
- Some Model Problems of Polycrystal PLasticity with Deficient Basic Crystals
- On Weak Convergence of Locally Periodic Functions
- The Theory of Composites
- Non–convex potentials and microstructures in finite–strain plasticity
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- HOMOGENIZATION OF PERIODIC NONLINEAR MEDIA WITH STIFF AND SOFT INCLUSIONS
- Elastic-Plastic Deformation at Finite Strains
- Large scale detection of half-flats in CAT(0)-spaces
- Direct methods in the calculus of variations