Abstract According to Heat flow-Temperature curves of DSC and the differential relationship between free energy increment and martensite volume fraction, a new cosine martensitic transformation model of shape memory alloy is developed. Based on the previous work of Tanaka and Liang, a new integral constitutive equation of shape memory alloy is derived. The study illustrates that Liang’s martensitic transformation model and constitutive equation are the special cases of the new martensitic transformation model and constitutive equation respectively. The new martensitic transformation model and constitutive can describe the phase transformation behavior and mechanical behavior of shape memory alloy more precisely than those previous models and equations.
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