【摘要】 利用伪力 位错法对各向异性复合材料中界面裂纹与界面下平行于界面的微裂纹的干涉问题进行了研究 ,推导出了界面裂纹及界面下裂纹的基本解 ,将裂纹间的干涉问题化为一奇异积分方程组 ,并借助Chebyshev多项式及Chebyshev数值积分法进行了求解 .在此基础上 ,针对几种典型的各向异性双材料结构进行了计算 .分析数值结果发现 ,材料失配对裂纹间的干涉有很大的影响 ,并且发现在纯I型荷载作用下 ,模型I的应力强度因子在能量释放率中起主导作用 .更多还原

【Abstract】 The pseudo traction method is combined with the edge dislocation method to solve the interactive problem of an interface crack with subinterface cracks in dissimilar anisotropic composite materials. First, the fundamental solutions for an interface crack loaded by normal or tangential tractions on both crack surfaces and the fundamental solutions for an edge dislocation beneath the interface in dissimilar anisotropic composite body are derived. Then, the interactive problem is reduced to a system of singular integral equations, which can be solved numerically with the aid of the Chebyshev numerical integration and Chebyshev polynomial technique. It is found that the material mismatch has a remarkable influence on the cracks interaction and the model I stress intensity factor plays a dominant role in the energy release rate.更多还原