The Souza-Auricchio model for shape-memory alloys

Shape-memory alloys are active materials, their amazing thermo-electromechanical behavior is at the basis of a variety of innovative applications. Many models have been set forth in order to describe this complex behavior. Among these the so-called Souza-Auricchio model appears as remarkably simple in terms of mechanical assumptions yet accurate in the description of three-dimensional experiments and robust with respect to approximations. Our aim is to survey here the current literature on the Souza-Auricchio model, with a specific focus on modeling.