This paper introduces an analytical expression for the stress intensity factors at the crack tips of a row of periodic and collinear cracks between infinite dissimilar orthotropic materials. The analytical J_k‐integrals of these traction‐free cracks have been presented for different material combinations, ‘crack length’/‘interval width’ ratios (λ) and various in‐plane loading conditions. Some of the analytical J_k‐integrals have been compared with the numerical values computed using the boundary element crack shape sensitivities which are in good agreement. For any in‐plane loading condition of a bimaterial plate with periodic and collinear interface cracks, the normalised J₁‐integral is almost independent of λ, but there is a slight variation in the normalised J₂‐integral with respect to λ. This is provided that the normalising factor is the strain energy release rate of a homogeneous plate made from one of the materials with the same ratio of λ and subject to the same loading condition.

中文翻译：

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正交异性材料之间周期性和共线界面裂纹的分析应力强度因子和Jk积分

本文介绍了无限异种正交异性材料之间一排周期性裂纹和共线裂纹的裂纹尖端处的应力强度因子的解析表达式。这些无牵引裂纹的解析J _k积分已针对不同的材料组合，“裂纹长度” /“间隔宽度”之比（λ）和各种面内载荷条件进行了介绍。已经将一些解析J _k积分与使用边界元素裂纹形状敏感性计算出的数值进行了比较，它们吻合得很好。对于具有周期性和共线界面裂纹的双材料板的任何面内载荷条件，归一化J ₁积分几乎与λ无关，但归一化的J ₂积分相对于λ略有变化。假设归一化因子是由具有相同的λ比和相同的载荷条件的一种材料制成的均质板的应变能释放率。