Non-associated superelasticity in rotating frame formulation

In order to describe and predict the superelastic finite strains behaviour of Shape Memory Alloys, a kinematic description with directors is proposed. Compatible with either isotropic or anisotropic behaviours, it allows a direct extension from the small pertubation formalism. Particularly, a general framework is proposed for the description of the Shape Memory Alloys superelastic behaviour under 3D proportional loadings.