利用DSC（示差扫描热量分析）热流-温度曲线和马氏体体积分数与自由能增量间的微分关系，建立了一个新的余弦型形状记忆合金马氏体相变模型。在Tanaka和Liang研究的基础上，推导了一个新的形状记忆合金本构方程。研究表明：Liang建立的马氏体相变模型和本构方程分别为本文建立的马氏体相变模型和本构方程所描述的一种特殊情况；本文建立的马氏体相变模型和本构方程比Liang及其它现存马氏体相变模型和本构方程能更准确地描述形状记忆合金的相变行为和力学行为。
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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