Transient analysis of a piezoelectric strip with a permeable crack under anti-plane impact loads

The problem of a through permeable crack situated in the mid-plane of a pie zoelectric strip is considered under anti-plane impact loads for two cases. The first is that the strip boundaries are free of stresses and of electri c displacements, and the second is that the strip boundaries are clamped ri gid electrodes. The method adopted is to reduce the mixed initial-boundary value problem, by using integral transform techniques, to dual integral equ ations, which are further transformed into a Fredholm integral equation of the second kind by introducing an auxiliary function. The dynamic stress in tensity factor and energy release rate in the Laplace transform domain are obtained in explicit form in terms of the auxiliary function. Some numerica l results for the dynamic stress intensity factor are presented graphically in the physical space by using numerical techniques for solving the result ing Fredholm integral equation and inverting Laplace transform. (C) 2001 El sevier Science Ltd. All rights reserved.