This paper provides an exact solution for a cusp-type crack problem in plane elasticity. The solution of the studied problem depends on the conformal mapping technique and complex potentials. The stress intensity factors at the cusp-type crack tip can be evaluated accordingly. Some particular characters for the SIF (stress intensity factor) solution have been found. Particularly, if a compression loading is applied along the direction of the cusp-type crack, the relevant SIF will take a positive value. This phenomenon is useful in the rupture of the rock with the cusp-type crack.

中文翻译：

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尖头型裂纹问题的断裂分析

本文为平面弹性中的尖峰型裂纹问题提供了精确解。所研究问题的解决方案取决于共形映射技术和复势。可以相应地评估尖头型裂纹尖端的应力强度因子。已发现 SIF（应力强度因子）解的一些特殊特征。特别是，如果沿尖头型裂纹方向施加压缩载荷，则相关的 SIF 将取正值。这种现象在具有尖头型裂缝的岩石破裂中是有用的。