TY - GEN A1 - Mielke, Alexander A1 - Roubicek, Tomas T1 - Numerical approaches to rate-independent processes and applications in inelasticity N2 - 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. KW - rate-independent evolution KW - energetic solution KW - approximation KW - plasticity KW - damage KW - debonding KW - magnetostriction KW - martensitic transformation Y1 - 2008 UR - https://opus4.kobv.de/opus4-matheon/frontdoor/index/index/docId/391 UR - https://nbn-resolving.org/urn:nbn:de:0296-matheon-3912 ER -