形状记忆合金的有限元分析方法

摘要

Based on an existing constitutive model of shape memory alloys, aformulation of incremental finite element is derived and the calculation is done on a computer. Numerical examples of a rod and an infinite panel with a circular hole, both under uniaxial tension, are analyzed with the derived formulation and tested. It is shown that the numerical results are in agreement with the experimental results. Finally deformation of a shape memory cantilever beam caused by temperature change is simulated.%基于Boyd和Lagoudas的形状记忆合金的本构模型，进行了增量有限元列式的推导，并在计算机上实施。对受单向拉伸的形状记忆合金以及中间开孔的形状记忆合金平面应力板进行了有限元分析，并分别与实验值和解析解做了比较，表明文中的有限元法是正确和有效的。最后还对形状记忆合金悬臂梁在不同温度下的变形进行了模拟。