A screw dislocation and an edge dislocation interacting with a locally rough bimaterial interface

Abstract

We apply analytic continuation and conformal mapping techniques to investigate, in detail, the elastic interaction of a screw dislocation and subsequently an edge dislocation with a locally rough bimaterial interface. In the case of a screw dislocation, the locations and Burgers vectors of the image screw dislocations for the half-plane containing the real screw dislocation are determined in an analytical manner. The image force acting on the screw dislocation is then expediently obtained using the Peach-Koehler formula. A sufficiently accurate closed-form expression for the image force is proposed. For the case of an edge dislocation, it is assumed that the two half-planes have identical shear moduli but distinct Poisson’s ratios. An exact closed-form expression for the image force acting on the edge dislocation is obtained. The image force is found to vary with the direction of the Burgers vector of the edge dislocation due to the influence of interface roughness.