Mathematical modeling of the stress state in an orthotropic electroelastic space with an arbitrary oriented spheroidal cavity under internal pressure

The stress state of an orthotropic electro-elastic space with an arbitrary oriented spheroidal cavity under internal pressure is investigated based on mathematical modeling. The problem's solution is obtained by using the Eshelby equivalent method, generalized to the case of orthotropic piezoelectric material, and the integral representation of the Green function for an anisotropic electroelastic space. Testing the algorithm for solving the problem on a special case (for a transversely isotropic electrical-elastic material with a spheroidal cavity) confirms its effectiveness. The numerical studies of the stress state in an orthotropic electroelastic material with a cavity under internal pressure were carried out, characteristic patterns of stress distribution were revealed.