Constitutive laws for pseudo-elastic materials

Abstract: "In this paper a new model of pseudo-elastic materials based on experimental observations of one-dimensional motions of SMA materials is introduced. The model incorporates phase fractions as an internal variable and allows for both reversible (elastic) and irreversible (plastic) modes inside the hysteresis loop. As such, the model accounts for a wider range of physical phenomena than the traditional plasticity theories. The constitutive equations predict transitions between elastic and plastic modes through a dependence on the time history of strain and phase fractions. These history effects are included in a way that allows for easy computation."