双弹性材料界面裂纹平面问题的边界积分方程解法

本文利用作者关于Ｇｒｉｆｆｉｔｈ裂纹问题边界积分方程法的已有结果，研究了两种不同弹性半平面材料粘接界面的共线裂纹问题，导出了问题的边界积分方程和应力强度因子的位错密度公式，获得了问题的一般解析解，对界单裂纹问题和界周期裂纹问题进行了详细讨论，给出了非对称载荷作用情形应力强度因子的精确解和一些典型问题的结果，比文献上用复函数法得到的结果更为一般。

A Boundary integral Equation Method of Plane problems of Interface Cracks in Elastic Bimaterials

Using the boundary integral equation solutions given by the present author about the Griffith crack problems, the plane problems of collinear cracks between the joined interface of half planes with different elastic properties are investigated. The boundary integral equations and stress intensity factors involving dislocation densities are derived. And the generally analytic solutions are obtained. The problems of a single crack or interface periodic cracks are discussed in detail. The exact solutinns of stress interisity factors and the analytic results of some typical examples are given in the case of unsymmetric loads, which are even more universal than the results obtained in the literature by use of complex variable mothod.