Preprint
Inserted: 1 feb 2018
Last Updated: 1 feb 2018
Year: 2018
Abstract:
We consider a model for nonlinear elastoplasticity coupled with incomplete damage. The internal energy of the deformed elastoplastic body depends on the deformation $y$, on the plastic strain $P$, and on an internal variable $z$ describing the damage level of the medium. We consider a dissipation distance $D$ between internal states accounting for coupled plastic deformation and damage. Moving from time-discretization we prove the existence of a rate-independent quasistatic evolution of the system.
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