任意形状孔口单边裂纹问题的边界配位解法

本文提出了一组复应力函数,采用边界配位方法对不同形状孔口(包括圆、椭圆、矩形及菱形孔口)的单边裂纹平板的应力强度因子进行了计算.计算结果表明,对长度和宽度远大于孔口和裂纹几何尺寸的试件,配位法与用其他方法所得的无限大板含圆或椭圆孔边裂纹问题的解符合得很好.同时,对其他孔口问题,特别是有限大板情形,本文给出了一系列计算结果.本文所提出的函数及计算过程可以应用于任意形状孔口单边裂纹平板的计算.

The Solution of a Crack Emanating from an Arbitrary Hole by Boundary Collocation Method

In this paper a group of stress functions has been proposed for the calculation of a crack emanating from a hole with different shape(including circular,elliptical,rectangular,or rhombic hole) by boundary collocation method.The calculation results show that they coincide very well with the existing solutions by other methods for a circular or elliptical hole with a crack in an infinite plate.At the smae time,a series of results for different holes in a finite plate has also been obtained in this paper.The proposed functions and calculation procedure can be used for a plate of a crack emanating from an arbitrary hole.