横观各向同性体三维裂纹的瞬态扩展

讨论一对集中力作用下横观各向同性体三维裂纹的瞬态扩展问题，其解答构成三维裂纹瞬态扩展问题的基本解。求解方法是基于积分变换技术，将混合边值问题化为Wiener-Hopf型积分方程，求得了裂纹所在平面应力和位移的封闭形式解。进一步利用Abel定理和Cagniard-de Hoop方法，求得了动态应力强度因子的精确解。最后通过数值结果揭示了横观各向同性材料三维扩展裂纹尖端场的动态特性。

Transient Extension of a Half Plane Crack in Transversely Isotropic Solid

The three-dimensional extension of a half plane crack in a transversely isotropic solid is analysed. The crack is subjected to a pair of point loads on its faces. The transform methods are used to reduce the boundary value problem to a single integral equation that can be solved by Wiener-Hopf technique. The Cagniard-de Hoop method is employed to invert the transforms. An exact expression is derived for the mode I stress intensity factor as a function of time and position along the crack edge. Some features of the solution are discussed through numerical results.