二维界面裂纹摄动模型中的对称和反对称权函数
Symmetric and skew-symmetric weight functions in perturbation models of 2D interfacial cracks
摘要：
本文研究了二维半平面界面裂纹在一般非对称分布力作用下的矢量问题。结果表明，一般积分公式的应力强度因子的评价，以及高阶项，需要对称和反对称的权重函数矩阵。对称权函数矩阵通过求解Wiener-Hopf函数方程得到，而反对称权函数矩阵的推导需要构造相应的全场奇异解.权函数矩阵，然后使用在扰动分析的裂纹前进准静态沿两个不同的介质之间的界面。一个通用的和严格的渐近程序来计算扰动的应力强度因子以及高阶项。
英文摘要：
In this paper we address the vector problem of a 2D half-plane interfacial crack loaded by a general asymmetric distribution of forces acting on its faces. It is shown that the general integral formula for the evaluation of stress intensity factors, as well as high-order terms, requires both symmetric and skew-symmetric weight function matrices. The symmetric weight function matrix is obtained via the solution of a Wiener-Hopf functional equation, whereas the derivation of the skew-symmetric weight function matrix requires the construction of the corresponding full field singular solution. The weight function matrices are then used in the perturbation analysis of a crack advancing quasi-statically along the interface between two dissimilar media. A general and rigorous asymptotic procedure is developed to compute the perturbations of stress intensity factors as well as high-order terms.
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