The electro-elastic interaction between a dislocation and an elliptical piezoelectric inhomogeneity in an infinite piezoelectric matrix was studied. The matrix was subjected to remote antiplane shear and to in-plane electric fields. Explicit expressions for the complex potentials were derived, for both the inhomogeneities and the surrounding matrix, by using conformal mapping and perturbation techniques. The results revealed that, when the inhomogeneity was reduced to a cavity, the electric field strength in both the cavity and the matrix was unaffected by the dislocation. The results also showed that the electric field strength was uniform in the cavity. In the case of a slit crack, the electric field strength in the matrix became uniform along the slit and in the matrix, while the stress and the electric displacements exhibited the usual square-root singularity at the crack tip.

Electro-Elastic Interaction between a Screw Dislocation and an Elliptical Inhomogeneity in Piezoelectric Materials. S.A.Meguid, W.Deng: International Journal of Solids and Structures, 1998, 35[13], 1467-82