A proposed phenomenological model for shape memory alloys

Of Tanaka-based constitutive models for shape memory alloys(SMAs), the model presented by Liang and then improved by Brinson is the most typical one, although it still lacks some important features appearing in typical SMAs. In this paper, we propose a constitutive model of SMAs to complement the Liang-Brinson model. In the proposed model, we augment the rubber-like effect at temperatures below M_f for certain SMAs and shed light on the V-shape feature of the critical stresses in the stress-strain (S-S) curves around M_s. Through numerically comparing the distinctive features of our model with experimental observations, the proposed model is proved to better simulate the thermomechanical behavior of SMAs in a more extensive temperature range and to generate more accurate prediction.