A three-dimensional constitutive model for shape memory alloys

This paper presents a three-dimensional thermomechanical constitutive model for Shape Memory Alloys. This constitutive relation is based upon Brinson's one-dimensional model by introducing a thermo-dynamic assumption proposed by Liang et al. In the present model, the martensite fraction internal variable is separated into such two parts as the stress-induced and the temperature-induced, and non-constant material functions are used. Numerical examples are given to show the ability of this constitutive model to predict the nonlinear thermomechanical behavior of Shape Memory Alloys (SMAs).