We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via -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.
Cite this article
Ulisse Stefanelli, Alexander Mielke, Linearized plasticity is the evolutionary -limit of finite plasticity. J. Eur. Math. Soc. 15 (2013), no. 3, pp. 923–948DOI 10.4171/JEMS/381