A Phenomenological One-Dimensional Model Describing Stress-Induced Solid Phase Transformation with Permanent Inelasticity

The use of shape memory alloys for a large number of applications in many fields of engineering has given rise to a great interest of researchers on an exhaustive modeling of their macroscopic behaviour. Most of the models proposed in the literature, however, consider a perfect pseudo-elastic behaviour (i.e. no residual strains), which is experimentally proved to be only an approximation. This paper addresses a new one-dimensional model able to include also permanent inelasticity effects, whose main features are shown by many numerical tests.