Point force and point electric charge applied to the boundary of three-dimensional anisotropic piezoelectric solid

The Green's functions for a three-dimensional semi-infinite fully anisotropic piezoelectric material are derived using the plane wave theory method. The solution gives the complete set of electromechanical fields due to an arbitrarily oriented point force and a point electric charge applied to the boundary of the half-space. The solution constitutes generalization of Boussinesq's and Cerruti's problems of elastic isotropy for the anisotropic piezoelectric materials. On the example of piezoceramics PZT-6B, the present results are compared with the previously obtained solution for the special case of transversely isotropic piezoelectric solid subjected to the same boundary condition.