Bifurcation results for plasticity coupled to damage with MCR-effect

The thermodynamic framework is outlined for a class of models, that involve the kinetic coupling of damage to inelastic deformation. This class includes e€ects of microcrack±closure±reopening (MCR). The general conditions for discontinuous bifurcations, which de®ne the onset of band-shaped localization, are given for the considered class of models. Solutions for the band direction and the corresponding thermodynamic state are given for isotropic elastoplastic response at plane stress, whereby two di€erent damage models that account for the MCR-e€ect in tension-compression, are employed.