形状记忆合金的剪切本构模型  

A CONSTITUTIVE MODEL FOR SHAPE MEMORY ALLOY IN PURE SHEAR STATE

作　　者：周博[1,2] 刘彦菊[3] 冷劲松[2] 

机构地区：[1]哈尔滨工程大学航天与建筑工程学院,哈尔滨150001 [2]哈尔滨工业大学复合材料与结构研究所,哈尔滨150080 [3]哈尔滨工业大学航天科学与力学系,哈尔滨150001

出　　处：《金属学报》2009年第10期1179-1184,共6页Acta Metallurgica Sinica

基　　金：国家自然科学基金项目95505010;国家高技术研究发展计划项目2006AA03Z109;中国博士后科学基金项目20080430933;哈尔滨市科技创新人才研究专项基金项目RC2009QN017046资助~~

摘　　要：利用形状记忆因子的概念,建立了用于描述纯剪切状态下形状记忆合金(SMA)相变行为的形状记忆演化方程.在假设SMA为各向同性材料和利用三维细观力学本构方程的前提下,推导了纯剪切状态下SMA的力学本构方程.所建立的形状记忆演化方程和力学本构方程中的材料常数均可以通过宏观实验来测定,便于工程实际中的应用.数值计算结果表明,所建立的形状记忆演化方程能正确地描述纯剪切状态下SMA发生在奥氏体、孪晶马氏体和非孪晶马氏体间的相变行为,力学本构方程可再现形状记忆效应和超弹性的热力学过程.It is of engineering interest to establish a constitutive model which includes the equations describing the phase transformation and mechanical behaviors of shape memory alloys（SMA） in pure shear state.In this study,such a shape memory evolution equation is established using the shape memory factor and Brinson＇s relationship of phase transformation critical stress and temperature. A mechanical constitutive equation is also developed from 3D micro mechanical constitutive equation based on the assumption that SMA is isotropic material to express the mechanical behaviors of SMA in pure shear state.All material constants in the shape memory evolution equation and mechanical constitutive equation can be determined through macroscopic experiments,so that they are more easily used in practical applications.Numerical simulation results show that this shape memory evolution equation could simulate truly the processes of phase transformations in austenite,twinned and detwinned martensites,and the mechanical constitutive equation could predict reasonably the mechanical behaviors of SMA in pure shear state.

关 键 词：形状记忆合金 纯剪切状态 形状记忆演化方程 力学本构方程 

分 类 号：TG139[一般工业技术—材料科学与工程]