Linearized plasticity is the evolutionary \Gamma-limit of finite plasticity
Analysis of PDEs
2011-11-07 v1 Functional Analysis
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.
Keywords
Cite
@article{arxiv.1111.1192,
title = {Linearized plasticity is the evolutionary \Gamma-limit of finite plasticity},
author = {Alexander Mielke and Ulisse Stefanelli},
journal= {arXiv preprint arXiv:1111.1192},
year = {2011}
}
Comments
To appear on J. Eur. Math. Soc. (JEMS)