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形状记忆合金热力学非线性方程的求解方法
引用本文:彭刚,姜袁.形状记忆合金热力学非线性方程的求解方法[J].三峡大学学报(自然科学版),2001,23(5):390-395.
作者姓名:彭刚  姜袁
作者单位:1. 三峡大学土木水电学院,
2. 三峡大学建筑设计研究院,
基金项目:湖北省教育厅技术创新项目(2000B14001).
摘    要:形状记忆合金是近期发展起来的新型功能材料,在土木工程中的应用尚处于起步阶段,该材料的热力学本构方程是一个非线性方程,变量之间相互循环嵌套,给方程的求解带来许多困难,为了使该方程能在工程实际中得以应用,文章提出了一种以马氏体百分数为切入点的求解方法,并进行了实例验算,研究表明该方法简单可行、运算速度快、计算准确,上有广阔的应用前景。

关 键 词:形状记忆合金  本构关系  热力学方程  伪弹性
文章编号:1007-7081(2001)05-0390-06

Resolution of Thermodynamics Nonlinear Equation of Shape Memory Alloys
Peng Gang,Jiang Yuan.Resolution of Thermodynamics Nonlinear Equation of Shape Memory Alloys[J].Journal of China Three Gorges University(Natural Sciences),2001,23(5):390-395.
Authors:Peng Gang  Jiang Yuan
Institution:Peng Gang~1 Jiang Yuan~2
Abstract:Shape memory alloys is a new type function material having been developed recently;its use in civil engineering is only started now. This material's thermodynamics constitutive equation is a nonlinear equation,in which variables are nested each other;it is very difficult to search its resolution. For making it become possible using this thermodynamics equation in actual engineering, it has been provided a method of searching its resolution starting from martensite fraction in this article;an example is also calculated. Research proves that this method is simple, feasible,rapid in calculating speed,accurate in conputation,and has wide application foreground.
Keywords:shape memory alloys  constitutive relation  thermodynamics equation  superelasticity  smart materials  energy dissipation  hysteretic behavior
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