• Media type: Text; E-Article
  • Title: Linearized plasticity is the evolutionary Γ-limit of finite plasticity
  • Contributor: Mielke, Alexander [Author]; Stefanelli, Ulisse [Author]
  • Published: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2013
  • Language: English
  • DOI: https://doi.org/10.4171/JEMS/381
  • Keywords: 74C05 ; 49J45 ; article ; Finite-strain elastoplasticity -- linearized elastoplasticity -- Γ-convergence -- rate-independent processes
  • 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 Γ-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