WIAS Preprint No. 1169, (2006)

Numerical approaches to rate-independent processes and applications in inelasticity



Authors

  • Mielke, Alexander
    ORCID: 0000-0002-4583-3888
  • Roubíček, Tomaš

2010 Mathematics Subject Classification

  • 35K55 35K85 49J40 49S05 65J15 74C05 74F15 74H15 74H20 74N10 74R05 74S05

Keywords

  • Rate-independent evolution, energetic solution, plasticity, damage, debonding, magnetostriction, martensitic transformation

Abstract

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.

Appeared in

  • ESAIM Math. Model. Numer. Anal., 43 (2009) pp. 399--429.

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