Abstract

In this paper, fundamental equations of the space problem for transversely isotropy piezoelectric/piezomagnetic and elastic media are established. The system of govering partial differential equations is expressed in terms of 3-D elastic displacement, electric potential, and magnetism potential functions. By means of the defined potential function, the general solution for 3-D transversely isotropic magneto-electro-elastic is derived. As an application of the general solution, the piezoelectric/piezomagnetic, problem acted on by a point force at the origin directed along the z-axis, and a point charge and a point electric current at the origin is solved. Also, explicit expressions of the function of the elastic displacement, stress, electric displacement, electric potential, magnetic induction, and magnetism potential are obtained. #Communicated by I. Elishakoff.

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