A Piezoelectric Screw Dislocation in a Three-phase Composite Cylinder Model with Electrically Conductive Interfacial Rigid Lines

Abstract

The problem of the electro-elastic coupling interaction between a piezoelectric screw dislocation and a three-phase circular inclusion with interfacial electrically conductive rigid lines (anti-cracks) is investigated. An efficient and concise method for complex multiply connected region is developed, in terms of which explicit series form solutions of the complex potentials in the matrix, the interphase layer and the inclusion regions are derived. Based on the complex potentials, the image force on the piezoelectric screw dislocation is then calculated by using the generalized Peach–Koehler formula. The equilibrium position of the dislocation is discussed in detail for various rigid line geometries, intrephase layer thicknesses, and piezoelectric material property combinations. The main results show that the interfacial rigid lines have significant perturbation effect on the motion of the piezoelectric screw dislocation near the circular inclusion surrounded by an interphase layer. The solutions of complex potentials in the article can be used as Green's functions to solve the problem on the interaction between interfacial rigid lines and arbitrary shape cracks in piezoelectric composites.