形状记忆合金管接头空间轴对称有限元分析  

THE FINITE ELEMENT ANALYSIS OF THE SHAPE MEMORY ALLOY PIPE CONNECTOR 1)

作　　者：严金良[1] 沈亚鹏 陈儒[2] 

机构地区：[1]西安交通大学工程力学研究所 [2]中国工程物理研究院

出　　处：《力学学报》1998年第3期370-378,共9页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金;国家教委博士点基金;中国工程物理研究院院外基金;航空基金

摘　　要：本文采用形状记忆合金（ＳＭＡ）的三维本构方程和有限变形理论，考虑拉、压不同应力状态对相变点移动的规律，编制了ＳＭＡ轴对称大变形的有限元程序，与单向拉伸下解析所得的应力、应变曲线相比，证实程序的正确性．文末计算一ＳＭＡ管接头，并指出按空间轴对称计算的必要性．This paper reviews the three-dimension Shape Memory Alloys constitutive relation present by Boyd and Langoudas. Since the nonlinear consitutive equation is difficult to be used in finite element method, a linear incremental consistutive equation is derived from the nonlinear one. The finite element equations in Total Lagrangian from are derived on the base of the linear increment constitutive equations and the program is also developed considering the effects of both stress and temperature. To verify the effectiveness of the finite element program (FEP), the constitutive equations are simplified into that of the one-dimensional form to give a reliable result. Comparison between the results of finite element program and the analytical results of the one-dimensional case shows well agreement. The finite element program then is employed to simulate the whole procedure of the application of pipe connecting where the connector is made by shape memory alloys. The result of stress distribution of the connector reveals great difference from that of common materials and that of one dimensional shape memory alloys ring. Since the constitutive equations are very complex, the finite element program is show to be a powerful tool for studying various special phenomena and applications of shape memory alloys.

关 键 词：形状记忆合金 非线性 有限元 管接头 轴对称 

分 类 号：TG139.6[一般工业技术—材料科学与工程]