JournalsjemsVol. 15, No. 3pp. 923–948

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

  • Ulisse Stefanelli

    Università di Pavia, Italy
  • Alexander Mielke

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Linearized plasticity is the evolutionary $\Gamma$-limit of finite plasticity cover
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Abstract

We provide a rigorous justification of the classical linearization approach in plasticity. By taking the small-deformations limit, we prove via Γ\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.

Cite this article

Ulisse Stefanelli, Alexander Mielke, Linearized plasticity is the evolutionary Γ\Gamma-limit of finite plasticity. J. Eur. Math. Soc. 15 (2013), no. 3, pp. 923–948

DOI 10.4171/JEMS/381