Abstract
In this paper, the fundamental equation of the plane problem for transversely isotropy piezoelectric/piezomagnetic and elastic media is considered. The control partial differential equation set that is expressed by the elastic displacement; electric potential and magnetism potential function are established. A one displacement potential function, the general solution for two-dimensional transversely isotropic magneto-electro-elastic is derived. Then Almansi’s theorem is used to simplify the general solution and all physicals quantity are expressed by four harmonic function. This general solution is easy and convenient for application.
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