Development of The Dynamic Slip Model of A Shear Crack

In this study, a dynamic slip model is developed for the case of a shear crack under constant stress drop. The crack problem is formulated and solved in frequency domain by hyper-singular boundary element method(HBEM). A regularization technique is proposed to regularize the traction boundary integral equation. Based on the spectral integral form of the kernel function, the unbounded term can be isolated and extracted from the hyper-singular kernel function by using the method of subtracted and added back in spectral domain, and hence, the required finite part can be obtained. Finally, by the inverse transformation from frequency domain to time domain, the time history of crack opening displacement under constant stress drop can be determined.