具有模式相关断裂能的材料中裂纹扩展的稳定性--II部分：混合型I+ II + III中断裂面的漂移
Configurational stability of a crack propagating in a material with mode-dependent fracture energy -- Part II: Drift of fracture facets in mixed-mode I+II+III
摘要：
在早期的论文中（Leblond等人，2011，2019），我们提出了在混合模式I+III加载的裂纹的共面扩展的线性稳定性分析，基于结合Griffith（1920）的能量条件和Goldstein和Salganik（1974）的局部对称性原理的“双”扩展准则。这两篇论文之间的区别在于，在最近的一篇论文中，临界能量释放率的局部值不再被认为是常数，而是示意性地允许依赖于局部模式III与模式I应力强度因子的比率。这导致了一个大大改善，定性可接受的协议的理论和实验，为“阈值”的比值的未扰动模式III的模式I应力强度因子，以上的共面传播变得不稳定。在本文中，分析扩展到的情况下，一个小的额外的模式II加载组件是存在于裂纹的初始平面配置，产生一个小的，一般的扭结，这个裂纹的时刻，它被应用。这种加载分量的存在所产生的主要新效应是，在阈值以上存在的不稳定模式在其传播期间必须沿着裂纹前缘漂移。这一预测可能是有用的，为未来的理论解释的一些实验中，这样的漂移运动确实被观察到。
英文摘要：
In earlier papers (Leblond et.al., 2011, 2019), we presented linear stability analyses of the coplanar propagation of a crack loaded in mixed-mode I+III, based on a "double'' propagation criterion combining Griffith (1920)'s energetic condition and Goldstein and Salganik (1974)'s principle of local symmetry. The difference between the two papers was that in the more recent one, the local value of the critical energy-release-rate was no longer considered as a constant, but heuristically allowed to depend upon the ratio of the local mode III to mode I stress intensity factors. This led to a much improved, qualitatively acceptable agreement of theory and experiments, for the "threshold'' value of the ratio of the unperturbed mode III to mode I stress intensity factors, above which coplanar propagation becomes unstable. In this paper, the analysis is extended to the case where a small additional mode II loading component is present in the initially planar configuration of the crack, generating a small, general kink of this crack from the moment it is applied. The main new effect resulting from presence of such a loading component is that the instability modes present above the threshold must drift along the crack front during its propagation. This prediction may be useful for future theoretical interpretations of a number of experiments where such a drifting motion was indeed observed.
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