Stress and induction field of a spheroidal inclusion or a penny-shaped crack in a transversely isotropic piezoelectric material

Exact closed-form solutions are obtained for the stress and induction field of a spheroidal piezo-electric inclusion in an infinite piezo-electric matrix subjected to spatially homogeneous mechanical and electrical loadings far away from the inclusion. Three types of loading are considered : axisymmetric, in-plane and out-of-plane shear. A limiting case of this solution allows us to determine the stress and induction field of a penny-shaped crack in a piezo-electric material. Closedform expressions for the stress and induction intensity factors of a penny-shaped crack are obtained. Copyright 0 1996 Elsevier Science Ltd.