Inhomogeneity dislocation interaction of piezoelectric materials under remote non-uniform shear & electric field

The complex potentials method is used to develop a solution for a screw dislocation interacting with an elliptical piezoelectric inhomogeneity in piezoelectric materials under remote non-uniform antiplane shear and non-uniform inplane electric field. The theoretical analysis result is formulated via the conformal mapping and Laurent series expansion in the transformed plane by using complex variable method. The general expression of the complex variables is derived explicitly in both the elliptical inhomogeneity and the surrounding matrix.