Numerical approaches to rate-independent processes and applications in inelasticity
- Mielke, Alexander
- Roubíček, Tomaš
2010 Mathematics Subject Classification
- 35K55 35K85 49J40 49S05 65J15 74C05 74F15 74H15 74H20 74N10 74R05 74S05
- Rate-independent evolution, energetic solution, plasticity, damage, debonding, magnetostriction, martensitic transformation
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.
- ESAIM Math. Model. Numer. Anal., 43 (2009) pp. 399--429.