An elliptic thermopiezoelectric inclusion problem in an anisotropic thermopiezoelectric medium

This study presents an analytical solution for an elliptical anisotropic piezoelectric inclusion embedded in an infinite anisotropic piezoelectric matrix subjected to arbitrary far-field uniform loadings by employing the Stroh formalism, the method of analytical continuation, the technique of conformal mapping, and the concept of super-position. Solutions of the temperature and stress functions either in the matrix or in the inclusion are expressed in complex matrix notation. It shows that the mechanic and electric loading leads to the appearance of the constant stress fields in the inclusion and the heat flux only leads to that of the linear stress fields. Comparison with some related works shows that the present solutions are valid and general.