Electroelastic fracture dynamics for multilayered piezoelectric materials under dynamic anti-plane shearing

This paper describes a method to analyze the dynamic response of a multilayered piezoelectric material plate containing some non-collinear cracks. It is assumed that the multilayers is composed of numerous laminae with cracks located at the interface of composite layers. Based upon Fourier transforms and Laplace transforms, the boundary value problem is reduced to a system of generalized singularity integral equations in the Laplace transform domain. By utilized numerical Laplace inversion, the time-dependent full ®eld solutions are obtained in the time domain. Numerical results are plotted to illustrate how the loading state and material non-homogeneity in¯uence the stress ®elds and the electric displacement ®elds ahead of the crack tip