In this paper a thermodynamic constitutive model is developed for stress induced phase transformation in single crystalline and polycrystalline shape memory alloys (SMAs). Volume fractions of different martensite variants are chosen as internal variables to describe the evolution of microstructure state in the material. This model is then used in prediction the transformation behavior of a SMA (Cu–Al–Zn–Mn) under complex thermomechanical load (including complete and incomplete transformation in mechanical cycling, and proportional/non-proportional loading).
Zhu, J., Liang, N., Huang, W., Liew, K. M., & Liu, Z. (2002). A thermodynamic constitutive model for stress induced phase transformation in shape memory alloys. International Journal of Solids and Structures, 39(3), 741-763. https://doi.org/10.1016/S0020-7683(01)00152-4