THE GENERAL-SOLUTION OF 3-DIMENSIONAL PROBLEMS IN PIEZOELECTRIC MEDIA

The governing equations of three-dimensional problems in transversely isotropic piezoelectric material are composed of four second order par tial differential equations, in which the displacement components and electric potential functions are the essential unknowns. In this paper the so-called general solutions of these equations are obtained with the aid of a set of new potential functions which are used to express the components of displacements and the electric potential functions. As an application of the general solution the problem of a half-space piezoelectrics acted by a concentrated lateral shear force is solved.