A rate-independent gradient system in damage coupled with plasticity via structured strains

Ce papier regarde l'etude d'une classe de modeles combinant l'endommagement isotrope avec la plasticite. Ce travail a ete inspire par des resultats de Freddi et Royer Carfagni [FRC10], qui ont considere le cas ou la partie non elastique du tenseur de deformation evolue seulement dans les zones endommagees du materiel. L'evolution de l'endommagement et de la plasticite est rate-independent. On preuve l'existence d'une solution dans le cadre des solutions energetiques introduisees par Mielke et collabora- teurs (cf., p. ex. [Mie05, Mie11b]).

This contribution deals with a class of models combining isotropic damage with plasticity. It has been inspired by a work by Freddi and Royer-Carfagni [FRC10], including the case where the inelastic part of the strain only evolves in regions where the material is damaged. The evolution both of the damage and of the plastic variable is assumed to be rate-independent. Existence of solutions is established in the abstract energetic framework elaborated by Mielke and coworkers (cf., e.g., [Mie05, Mie11b]).