圆形裂纹分析的边界积分方程方法

A Boundary Integral Equation Method of Circular Crack Analysis

利用三维裂纹分析的边界积分方程方法，研究了三维无限弹性体中受任意非对称载荷作用的圆形裂纹问题．通过将二维边界奇异积分方程简化为Ａｂｅｌ方程，获得了问题的Ⅰ、Ⅱ、Ⅲ型应力强度因子精确解。

By using the boundary integral equation method of three dimensional crack analysis, the problem of a circular crack in a three dimensional infinite elastic body under arbitrary, unsymmetric loads is investigated. The exact solutions of stress intensity factors of Mode Ⅰ, Mode Ⅱ and Mode Ⅲ are obtained by reducing the two dimensional singular boundary integral equations to Abel integral ones, which are even more universal than the results obtained by the use of Hankel transform method.