指数型功能梯度材料平面问题应力场通解

The General Solution of the Plane Stress in the Functional Materials with Exponential Variation of Elastic Constans

研究了功能梯度材料平面问题的应力场,引入Ariy应力函数,将问题转化为四阶偏微分方程,然后利用坐标变换方法,求得了应力函数的通解,进而得到了应力场的通解.

The stress field in the plane of the functional graded materials （FGMs） has been studied. The plane problem of FGMs is converted to solve the fourth order partial differential equations by introducing the Ariy stress function. The general solution of the stress function is given by using coordinate transform technique. At last, the general solution of the stress field is given.