Reflection Response of the Transient Wave from a Finite Plane Crack Lying in Elastic Half-Space Subjected to SH Periodic Impact Load

Abstract

Here, a new simple analytical method named the EAE approach (The exact analytical element approach) is developed. The EAE approach is our original analytical method which we can combine analytically several exact solutions for the transient boundary problem and solve precisely and rationally the more complicated problem. By using this approach, the Cagniard method, the Wiener-Hopf technique and the method of images, we finally analyze the reflection response of the transient wave from a finite plane crack lying in elastic half-space subjected to SH periodic impact load. In this paper the most important subject is to observe the resonance phenomenon of the finite length crack by the periodic impact load. The relationship between transient wave reflection response from the finite crack and the impact periodic frequency is examined by the exact analysis and the numerical calculation.