• Media type: Text; Report; E-Book
  • Title: Linearized plasticity is the evolutionary Gamma limit of finite plasticity
  • Contributor: Mielke, Alexander [Author]; Stefanelli, Ulisse [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2011
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1617
  • Keywords: Finite-strain elastoplasticity -- linearized elastoplasticity -- Gamma-convergence -- rate-independent processes ; 74C15 ; 49J45 ; article
  • Origination:
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  • Description: 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
  • Access State: Open Access