Abstract
According to the structure feature of the governing equations of space axisymmetric problem in transversely isotropic piezoelectric material, using the method of introducing potential function one by one, in this paper we obtain the so-called general solution of displacement and electric potential function denoted by unique potential function which satisfies specific partiality equations. As an applying example of the general solution, we solve problem of semi-infinite body made of piezoelectric material, on the surface of the semi-infinite body a concentrative force is applied, and get the analytic formulations of stress and electric displacement components. The general solution provided by this paper can be used as a tool to analyse the mechanical-electrical coupling behavior of piezoelectric material which contains defects such as cavity, inclusion, penny-shape crack, and so on. The result of the solved problem can be used directly to analyse contact problems which take place between two piezoelectric bodies or piezoelectric body and elastic body.
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