Globally Stable Quasistatic Evolution for a Coupled Elastoplastic–damage Model

We show the existence of globally stable quasistatic evolutions for a rateindependent material model with elastoplasticity and incomplete damage, in small strain assumptions. The main feature of our model is that the scalar internal variable which describes the damage affects both the elastic tensor and the plastic yield surface. It is also possible to require that the history of plastic strain up to the current state influences the future evolution of damage.