形状记忆合金力学特性的细观力学分析

Micromechanical Analysis of Mechanical Property of Shape Memory Alloy

在形状记忆合金的本构模型中,有效复合模量是很重要的因素.工程计算中,一般采用经验公式,但缺乏深入的理论分析和实验数据支持.本文基于Eshelby等效夹杂原理和Mori-Tanaka方法,分析形状记忆合金的有效复合模量,推导了相应的计算公式,与文献中的经验公式比较,进行误差分析,并分析了不同的有效复合模量计算对形状记忆合金的应力-应变曲线的影响,从理论上论证经验公式的可行性,为形状记忆合金的设计和使用提供理论依据.

The effective modulus is one of the important parameters of constitutive model for shape memory alloy. The empirical relations generally lack of supports from theory analysis and experimental datum. In this paper, the analytical model of effective modulus for shape memory alloy is developed based on Eshelby inclusion method and Mori-Tanaka scheme. The attentions are paid to analyze relative error compared with empirical relations and study the effects on stress-strain curves with different effective modulus. The results show that the empirical relations are in good agreement with the micromechanical value. The present work provides theoretical evidence for empirical relations in designing shape memory alloys.