Linearized plasticity is the evolutionary $\Gamma$-limit of finite plasticity

Mielke, Alexander, and Stefanelli, Ulisse. "Linearized plasticity is the evolutionary $\Gamma $-limit of finite plasticity." Journal of the European Mathematical Society 015.3 (2013): 923-948. <http://eudml.org/doc/277471>.

@article{Mielke2013,
abstract = {We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via $\Gamma $-convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity.},
author = {Mielke, Alexander, Stefanelli, Ulisse},
journal = {Journal of the European Mathematical Society},
keywords = {finite-strain elastoplasticity; linearized elastoplasticity; gamma-convergence; rate-independent processes; finite-strain elastoplasticity; linearized elastoplasticity; -convergence; rate-independent processes},
language = {eng},
number = {3},
pages = {923-948},
publisher = {European Mathematical Society Publishing House},
title = {Linearized plasticity is the evolutionary $\Gamma $-limit of finite plasticity},
url = {http://eudml.org/doc/277471},
volume = {015},
year = {2013},
}

TY - JOUR
AU - Mielke, Alexander
AU - Stefanelli, Ulisse
TI - Linearized plasticity is the evolutionary $\Gamma $-limit of finite plasticity
JO - Journal of the European Mathematical Society
PY - 2013
PB - European Mathematical Society Publishing House
VL - 015
IS - 3
SP - 923
EP - 948
AB - We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via $\Gamma $-convergence for rate-independent processes that energetic solutions of the quasi-static finite-strain elastoplasticity system converge to the unique strong solution of linearized elastoplasticity.
LA - eng
KW - finite-strain elastoplasticity; linearized elastoplasticity; gamma-convergence; rate-independent processes; finite-strain elastoplasticity; linearized elastoplasticity; -convergence; rate-independent processes
UR - http://eudml.org/doc/277471
ER -