A piezoelectric screw dislocation interacting with an interphase layer between a circular inclusion and the matrix

Abstract

The interaction of a piezoelectric screw dislocation with an interphase layer between the circular inclusion and the piezoelectric matrix is dealt with. An efficient method for multiplying connected region is developed by combining the sectional holomorphic function, Cauchy-type integral and Laurent series expansion techniques, in terms of which the relation among the complex potentials for the three material regions is obtained. The functional equation in complex potentials for the interphase layer is derived, resulting in explicit series solutions for the two cases when piezoelectric screw dislocation is located in the matrix or in the inclusion. The image force acting on the piezoelectric screw dislocation is calculated by using the generalized Peach–Koehler formula. Three practical cases are provided to investigate the influence of the interphase layer parameters on the image force. The present solutions contain a number of novel and previously known results which can be shown to be special cases.