A screw dislocation interacting with interfacial rigid lines in magnetoelectroelastic solids

This paper studied the interaction of a generalized screw dislocation with interfacial conducting rigid line inclusions by using analysis continuation principle of functions of complex variable, and the general solution of the problem was presented. The closed form solution was derived when interface contained one rigid line. With the application of perturbation technique, the perturbation stresses, electric displacement fields, magnetic induction fields were obtained. The image force acting on the generalized screw dislocation was calculated by using the generalized Peach-Koehler formula. The influence of collinear interfacial crack geometry and material mismatch on the image force was discussed. The solutions could be used as Green's functions to obtain the corresponding solutions for the case of arbitrary distributed dislocations and to solve the problem of interaction between interfacial rigid lines and crack of arbitrary shape under anti-plane mechanical, in-plane electric and magnetic loadings at infinity.