半平面多圆孔多裂纹反平面问题

运用复变函数及积分方程方法，求解了半平面域多圆孔多裂纹反平面问题．建立了两种类型的基本解．利用叠加原理和所得的基本解并沿圆孔和裂纹表面取待定的基本解密度函数，可得一组基本解密度函数为未知函数的Ｆｒｅｄｈｏｌｍ积分方程．通过该积分方程组的数值求解可以得到密度函数的离散值，进而得到裂纹尖端的应力强度因子．

Antiplane Multiple Holes and Cracks Problem of Half Plane Region

By using of complex variable function and integral equation method, the antiplane multiple holes and cracks problem of half plane region is considered in this paper. In order to solve the proposed problem, two kinds of elementary solution are presented. Utilizing the proposed elementary solutions and taking density functions of elementary solutions along the holes' and cracks' surface as undetermined functions, a group of Fredholm integral equations can be established. Through the numerical solution of the integeral equations, the SIF values at the cracks tips can be calculated.