Stress and induction field of a spheroidal inclusion or a penny-shaped crack in a transversely isotropic piezo-electric material. (English) Zbl 0903.73062

Kogan, L.; Hui, C.-Y.; Molkov, V.

Int. J. Solids Struct. 33, No. 19, 2719-2737 (1996).

Summary: 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. Closed-form expressions for the stress and induction intensity factors of a penny-shaped crack are obtained.

MSC:

74F15

Electromagnetic effects in solid mechanics

Keywords:

stress intensity factor; induction intensity factor; in-plane loading; axisymmetric loading; out-of-plane shear loadings