A new variational theory and a computational algorithm for coupled elastoplastic damage models

A model of elastoplasticity with hardening coupled with ductile damage which allows anisotropic change of the shape of the damage domain is presented. The assumption for the development of the constitutive model consists in assigning the elastic and damage domains and the free energy. The general variational formulation for the elastoplastic model coupled with damage is derived as well as a mixed principle which is useful from the computational standpoint. Accordingly a solution algorithm is then derived and examples are presented