Linearized plasticity is the evolutionary -limit of finite plasticity
Ulisse Stefanelli
Università di Pavia, ItalyAlexander Mielke
Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
![Linearized plasticity is the evolutionary $\Gamma$-limit of finite plasticity cover](/_next/image?url=https%3A%2F%2Fcontent.ems.press%2Fassets%2Fpublic%2Fimages%2Fserial-issues%2Fcover-jems-volume-15-issue-3.png&w=3840&q=90)
Abstract
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. 923–948
DOI 10.4171/JEMS/381