形状记忆合金热力学非线性方程的求解方法

Resolution of Thermodynamics Nonlinear Equation of Shape Memory Alloys

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 。

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.