Linearized plasticity is the evolutionary -limit of finite plasticity

  • Alexander Mielke

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • Ulisse Stefanelli

    Università di Pavia, Italy

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

Alexander Mielke, Ulisse Stefanelli, 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