摘 要:在平面弹性问题中,由于载荷不同,弹性体的形状不同造成其解析解用一般方法难以求出,所以继续寻找出一种适用于弹性问题的特殊解法。本文采用了复变函数的级数解法,以无限带孔口域弹性平板为例运用其的基本方程和边界条件可展开成复变函数特点,通过对比两边同幂项的系数确定其待定系数,再计算出位移边界下的应力场。我们通过给其不同的载荷和位移边界条件运用数学软件进行计算求解得出不同载荷的应力场图像进行分析。Pick to: in the plane elasticity problem, the load is different, the shape of the elastomer different cause its analytical solution with general method is difficult to calculate, so continue to look for a suitable for elastic special solution of the problem. This article adopted the series solutions of complex function in infinite elastic plate with orifice domain, for example by using the basic equation and boundary conditions of the expandable into complex function characteristics, on both sides by comparing with the power factor to determine the undetermined coefficient, then calculate the displacement boundary under stress field. We through to the different load and displacement boundary conditions using mathematics software to calculate the solution of different load stress field of the image are analyzed.