形状记忆合金的一种基于热力学定律的本构模型

在Tanaka本构理论、Liang-Rogers本构理论以及Brinson本构理论的基础上,应用热力学定律,结合差示扫描量热仪(DSC)的实验数据,经理论推导给出了一种描述形状记忆合金相变过程中应力、应变、温度以及马氏体体积分数相互耦合的唯像本构模型,并在形状记忆合金的几种典型的物理状态下和经典的理论模型进行了对比性研究.结果表明,所提出的基于热力学定律的本构模型和经典的Liang-Rogers理论保持了较好的一致性.

A new constitutive model of shape memory alloy based on thermodynamics

Based on Tanaka theory, Liang-Rogers theory and Brinson theory of shape memory alloys, a new constitutive model was presented. This model was established according to thermodynamic rules and deduced from the DSC experiment data, relations of stress, strain, temperature and Martensitic volume fraction, characterized in a new way. The model was compared with Tanaka and Liang-Rogers constitutive models in the form of figures. The results indicate that the new constitutive model keeps in line with Liang-Rogers theory.