WIAS Preprint No. 1617, (2011)

Linearized plasticity is the evolutionary Gamma limit of finite plasticity


Authors

  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Stefanelli, Ulisse

2010 Mathematics Subject Classification

  • 74C15 49J45

Keywords

  • Finite-strain elastoplasticity, linearized elastoplasticity, Gamma-convergence, rate-independent processes

DOI

10.20347/WIAS.PREPRINT.1617

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

Appeared in

  • J. Eur. Math. Soc. (JEMS), 15 (2013) pp. 923--948.

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