On the stressed state of a transversely isotropic piezoceramic material with arbitrarily oriented spheroidal inhomogeneity

Abstract

We consider a stressed state problem of a piezoelectric medium containing an arbitrarily oriented spheroidal inclusion under uniform mechanical and electrical loads. The problem has been solved by using a generalized Eshelby method of equivalent inclusion for the case of piezoceramic material. Testing of the approach for the case of a spheroidal cavity (when the cavity rotation axis coincides with the material polarization axis), for which an exact solution of the problem exists, confirms its high efficiency. Numerical investigations have been carried out, and the stress distribution along the surface of an arbitrarily oriented spheroidal cavity has been studied.