In this paper, a thermodynamic constitutive model previously proposed by the authors was further developed in order to be applicable for the simulation of thermomechanical behavior of shape memory alloys under different loading conditions. The volume fractions of austenite and martensite variants were used as internal variables to describe the microstructural evolution. The model was used to investigate the behavior of a round tube Cu–Al–Zn–Mn polycrystalline shape memory alloy under various mechanical loads, including non-proportional loading, torsion cycling in opposite directions and the shape memory effect. The non-proportional loading simulation results were compared with experimental results reported in the literature.
Zhu, J., Liu, Q. Y., Huang, W. M., & Liew, K. M. (2004). To simulate the behavior of shape memory alloys under thermomechanical cycling. Materials Science and Engineering A, 365(1-2), 298-301. https://doi.org/10.1016/j.msea.2003.09.039