Three-dimensional analysis of piezoelectric/piezomagnetic elastic media

This paper presents an exact three-dimensional method of solution for a transversely isotropic piezoelectric/piezomagnetic elastic media. The control partial differential equation set that is expressed by the elastic displacement, electric potential and magnetism potential function are established. By means of drawing two-displacement potential functions the general solution for three-dimensional transversely isotropic magneto-electro-elastic is derived. As an illustrative example, the analysis solutions of a half space body of magneto-electro-elastic acted by a point force at the origin directed along the z-axis and a point charge and a point electric current at the origin are obtained.