Image forces of screw dislocations in a magnetoelectroelastic layered half-plane

Abstract

The two-dimensional analysis of elastic, electric, and magnetic fields induced by generalized screw dislocations embedded in a transversely isotropic magnetoelectroelastic layered half-plane is presented in this study. The results indicate that explicit solutions for this problem consist only of the simplest solutions for an infinite magnetoelectroelastic medium with a generalized screw dislocation. It is shown that the physical meaning of the solution is the image method. The mathematical method used in this study provides an automatic determination for the locations and magnitudes of image screw dislocations. From the generalized Peach-Koehler equation, the explicit forms of image forces exerted on a generalized screw dislocation in a layered half-plane are derived from the full-field solutions of the generalized stresses. Numerical results for the full-field distributions of the generalized stresses in the layered half-plane medium are presented. The image forces and equilibrium positions of one screw dislocation, two screw dislocations, and an array of screw dislocations are presented by numerical calculations and are discussed in detail.