Antiplane problem of interfacial cracks bonded with transversely isotropic piezoelectric

Interfacial cracks bonded with dissimilar transversely isotropic media that are subjected to combined anti plane mechanical and in plane electrical loading are analyzed. The problem is formulated using complex function theory, from which the Hilbert problem is derived. By solving the Hilbert problem, the general form solution is obtained. Using this solution, closed form solutions for one or two finite cracks as well as a semi infinite crack are obtained, for the problem in which one concentrated mechanical and electrical load is imposed on the crack surface. This solution could be used as a Green's function to generate solutions to other problems with the same geometry but different loading conditions