III型界面裂纹的摄动
Perturbation of Mode III interfacial cracks
摘要：
本文研究了Ⅲ型界面裂纹的摄动问题。扰动是几何型的，可以是裂纹面的扰动和界面的扰动，这可以偏离初始直线配置。导出了应力强度因子一阶摄动的渐近公式。结果表明，由于问题的非对称性质，Piccolroaz等人（2009）中导出的模式III斜对称权函数对于导出正确的渐近公式至关重要。为了说明该方法，我们提出了不同的几何扰动的半平面界面裂纹在无限双材料结构的数值结果。本文还讨论了将该方法推广到有限体的问题。
英文摘要：
We consider the perturbation problem of a Mode III interfacial crack. The perturbation is of geometrical type and can be both perturbation of the crack faces and perturbation of the interface, which can deviate from the initial straight line configuration. Asymptotic formulae are derived for the first-order perturbation of the stress intensity factor. It is shown that, due to the unsymmetrical nature of the problem, the Mode III skew-symmetric weight function derived in Piccolroaz et al. (2009) is essential for the derivation of the correct asymptotic formulae. To illustrate the method, we present the numerical results for different geometrical perturbations of a half-plane interfacial crack in an infinite bimaterial structure. Discussion on the extension of the method to finite bodies is also presented.
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