Moving anti-plane shear crack in a piezoelectric layer bonded to dissimilar elastic infinite spaces

The dynamic behavior of a moving Griffith crack under anti-plane shear in a piezoelectric layer bounded by two elastic infinite spaces is considered. The crack is vertical to the interfaces of the piezoelectric layer. By using Fourier transforms, the problem is reduced into two pairs of dual integral equations with cosine functions as kernels. The pairs of dual integral equations are reduced into two pairs of Fredholm integral equations of second kind. Solving the Fredholm integral equations analytically and numerically, the numerical results for stress intensity factors and electric intensity displacement factors at the edged of the crack and energy release rate are obtained.