• Media type: Report; E-Book; Text
  • Title: Numerical approaches to rate-independent processes and applications in inelasticity
  • Contributor: Mielke, Alexander [Author]; Roubíček, Tomáš [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2006
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.1169
  • Keywords: article ; Rate-independent evolution -- energetic solution -- plasticity -- damage -- debonding -- magnetostriction -- martensitic transformation ; 35K55 ; 74C05 ; 74F15 ; 74H20 ; 35K85 ; 49J40 ; 74H15 ; 74R05 ; 74S05 ; 74N10 ; 65J15 ; 49S05
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  • Description: A general abstract approximation scheme for rate-independent processes in the energetic formulation is proposed and its convergence is proved under various rather mild data qualifications. The abstract theory is illustrated on several examples: plasticity with isotropic hardening, damage, debonding, magnetostriction, and two models of martensitic transformation in shape-memory alloys.
  • Access State: Open Access