Anti-Plane Shear Crack in a Piezoelectric Layer Bonded to Dissimilar Half Spaces

Abstract

Following the theory of linear piezoelectricity, we consider the electroelastic problem for a piezoelectric layer with a crack bonded to two elastic half planes under antiplane shear loading. The crack parallel to the interfaces is in the mid-plane of the piezoelectric layer. Fourier transforms are used to reduce the problem to the solution of a pair of dual integral equations. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. Numerical values of the stress intensity factor for some piezoelectric laminates are obtained, and the results are plotted to display the electroelastic interactions.