Maximally-dissipative local solutions to rate-independent systems and application to damage and delamination problem
2015
Abstract
The system of two inclusions with the dissipation potential degree-1 homogeneous and with the stored energy separately convex is considered. An approximation by a semiimplicit time discretisation is shown to converge to specific local (weak) solutions obeying maximimal-dissipation principle in a certain sense.
Applications of such (in fact, force-driven) solutions are illustrated on specific examples from continuum mechanics at small strains involving inelastic processes in a bulk or on a surface, namely damage and delamination.