Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity
DOI10.4171/JEMS/381zbMath1334.74021arXiv1111.1192WikidataQ59901789 ScholiaQ59901789MaRDI QIDQ1949969
Alexander Mielke, Ulisse Stefanelli
Publication date: 21 May 2013
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1111.1192
rate-independent processesfinite-strain elastoplasticitylinearized elastoplasticity\(Gamma\)-convergence
Small-strain, rate-independent theories of plasticity (including rigid-plastic and elasto-plastic materials) (74C05) Methods involving semicontinuity and convergence; relaxation (49J45)
Related Items (28)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- \(\Gamma\)-convergence of energies for nematic elastomers in the small strain limit
- Commutability of homogenization and linearization at identity in finite elasticity and applications
- Linear elasticity obtained from finite elasticity by \(\Gamma \)-convergence under weak coerciveness conditions
- Global existence for rate-independent gradient plasticity at finite strain
- Modelling of microstructure and its evolution in shape-memory-alloy single-crystals, in particular in CuAlNi
- A complete-damage problem at small strains
- Existence theorems for plasticity problems
- Plasticity. Mathematical theory and numerical analysis
- Energetic formulation of multiplicative elasto-plasticity using dissipation distances
- Linearized elasticity as \(\Gamma\)-limit of finite elasticity
- A derivation of linear elastic energies from pair-interaction atomistic systems
- A \(\Gamma\)-convergence approach to stability of unilateral minimality properties in fracture mechanics and applications
- AN EVOLUTIONARY ELASTOPLASTIC PLATE MODEL DERIVED VIA Γ-CONVERGENCE
- Some Open Problems in Elasticity
- A General Approach to Lower Semicontinuity and Lower Closure in Optimal Control Theory
- On Lower Semicontinuity of Integral Functionals. I
- Non–convex potentials and microstructures in finite–strain plasticity
- Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains
- A theorem on geometric rigidity and the derivation of nonlinear plate theory from three-dimensional elasticity
- A theorem on lower semicontinuity of integral functionals
- DISCONTINUOUS FINITE ELEMENT APPROXIMATION OF QUASISTATIC CRACK GROWTH IN NONLINEAR ELASTICITY
- Existence results for a class of rate-independent material models with nonconvex elastic energies
- Elastic-Plastic Deformation at Finite Strains
This page was built for publication: Linearized plasticity is the evolutionary \(\Gamma\)-limit of finite plasticity