Homogenization in BV of a model for layered composites in finite crystal plasticity
From MaRDI portal
Publication:2039533
DOI10.1515/acv-2019-0011zbMath1467.49044arXiv1901.11517OpenAlexW2979101651WikidataQ127191881 ScholiaQ127191881MaRDI QIDQ2039533
Elisa Davoli, Rita Ferreira, Carolin Kreisbeck
Publication date: 5 July 2021
Published in: Advances in Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1901.11517
Crystalline structure (74E15) Large-strain, rate-independent theories of plasticity (including nonlinear plasticity) (74C15) Methods involving semicontinuity and convergence; relaxation (49J45) Variational principles of physics (49S05)
Related Items (5)
Asymptotic analysis of deformation behavior in high-contrast fiber-reinforced materials: Rigidity and anisotropy ⋮ Homogenization of high-contrast composites under differential constraints ⋮ A homogenization result in finite plasticity ⋮ Asymptotic rigidity of layered structures and its application in homogenization theory ⋮ On static and evolutionary homogenization in crystal plasticity for stratified composites
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A critical review of the state of finite plasticity
- On the existence of solutions to a problem in multidimensional segmentation
- Maps of bounded variation with values into a manifold: total variation and relaxed energy
- Elastic materials with couple-stresses
- Null Lagrangians, weak continuity, and variational problems of arbitrary order
- Structured deformations of continua
- An introduction to \(\Gamma\)-convergence
- Bulk and interfacial energy densities for structured deformations of continua
- Energetic formulation of multiplicative elasto-plasticity using dissipation distances
- Higher-order quasiconvexity reduces to quasiconvexity
- Asymptotic rigidity of layered structures and its application in homogenization theory
- Finite plasticity in \(P^\top P\). I: Constitutive model
- Theories of elasticity with couple-stress
- Second-order structured deformations: relaxation, integral representation and applications
- Homogenization of layered materials with rigid components in single-slip finite crystal plasticity
- Single-slip elastoplastic microstructures
- Weak continuity and lower semicontinuity results for determinants
- Rate-independent elastoplasticity at finite strains and its numerical approximation
- RELAXATION OF A MODEL IN FINITE PLASTICITY WITH TWO SLIP SYSTEMS
- Asymptotic Behavior of Crystal Plasticity with One Slip System in the Limit of Rigid Elasticity
- Finite Elastoplasticity Lie Groups and Geodesics on SL(d)
- A Chain Rule Formula in the Space BV and Applications to Conservation Laws
- Rank one property for derivatives of functions with bounded variation
- Structured Deformations as Energy Minimizers in Models of Fracture and Hysteresis
- On the Passage from Nonlinear to Linearized Viscoelasticity
- A note on locking materials and gradient polyconvexity
- Incompatibility-governed elasto-plasticity for continua with dislocations
- A Critical Revisiting of Finite Elasto-Plasticity
- Elastic-Plastic Deformation at Finite Strains
- Contact interactions, stress and material symmetry
- Finite Plasticity in $P^\top\!P$. Part II: Quasi-Static Evolution and Linearization
This page was built for publication: Homogenization in BV of a model for layered composites in finite crystal plasticity