边裂纹物体反平面剪切时的边界配置解法

本文采用边界配置法研究受反平面剪切的含边裂纹有限大物体的位移、应力和应力强度因子计算.对于矩形截面相对裂纹对称情形,本文所得结果与文献1]用积分方程法所得结果一致,从而说明本文方法的正确性.同时,本文给出了斜边裂纹的结果,说明本文方法广泛的适用性,可用于载荷与截面形状更一般的情形.

An Edge Cracked Body in Anti-Planar Shear Calculated by the Boundary Collocation Method

The stress in an edge cracked body subjected to anti-planar shear has been calculated with the boundary collocation method by assuming appropriate stress functions and employing the theory of elasticity. For the special case where the cross section of the body is rectangular and symmetric about the crack, it is found that the calculation results of the stress intensity factor agree very well with those obtained by the integral equation method. An example of calculation for a body with a slant crack has also been given. The method is found to be time-saving in computer operation and satisfactory in convergence.