Three-dimensional modeling of shape-memory materials

Abstract
The paper describes a model able to reproduce through a phenomenological approach some of the main macroscopic features of shape-memory materials for three-dimensional states of stress. In particular, we consider in details the case of superelastic response, giving insights on how extending the model to include the shape-memory effect. The model is framed on a large deformation context and it based on the introduction of a scalar internal variable - the single-variant martensite fraction - and on a tensorial internal variable - measuring the single-variant martensite orientation.