A rate-independent model for the isothermal quasi-static evolution of shape-memory materials

This paper addresses a three-dimensional model for isothermal stress-induced transformation in shape-memory polycrystalline materials. We treat the problem within the framework of the energetic formulation of rate-independent processes and investigate existence and continuous dependence issues at both the constitutive relation and quasistatic evolution level. Moreover, we focus on time and space approximation as well as on regularization and parameter asymptotics.