A spheroidal inclusion in an infinite magneto-electro-elastic material

Abstract

Exact closed-solutions are obtained for the coupled field of a spheroidal magneto-electro-elastic inclusion in an infinite magneto-electro-elastic matrix subjected to spatially homogeneous mechanical and electromagnetic loadings far away from the inclusion. Three types of loadings are considered: axisymmetric, in-plane and out-of-plane shear. The limiting case of these solutions allows one to determine the complete coupled field in a magneto-electro-elastic material with a penny-shaped crack. Closed-form expressions for the stress, electric displacement and magnetic induction intensity factors of a penny-shaped crack are obtained.