Edge dislocation interacting with a nonuniformly coated circular inclusion

Abstract

This paper investigated the interaction between an edge dislocation and a nonuniformly coated circular inclusion. Based on the technique of conformal mapping and the method of analytical continuation in conjunction with alternating technique, the solutions to plane elasticity problems for three dissimilar media are derived explicitly in a series form. For a limiting case when the thickness of the interphase layer is uniform, the derived analytical solutions of this paper are reduced to exactly the same results available in the literature. The image force acting on the dislocation is then determined by using the Peach-Koehler formula. It is found that the combination of material constants and nonuniformity of the interphase thickness will exert a significant influence on the dislocation force.

Interaction between a Nonuniformly Coated Circular Inclusion and a Remote Uniform Heat Flow

“…By using the same method, an exact solution for thermal stresses in a three-phase composite cylinder subject to uniform heat flow was provided by Chao et al [12]. By using the Peach-Koehler formula, the image force due to edge dislocations interacting with a nonuniformly coated circular inclusion was investigated by Chen [13].…”

The coupling interaction of a screw dislocation with a bimaterial interface and a nearby circular inclusion

“…The nature of the inclusion/matrix interface plays an important role in the study of the interaction of dislocations with an inclusion. Various interfaces have been considered, which include perfect and imperfect interface [17,18], uniform coating [19,20], nonuniform coating [21] and interfacial cracks [22]. When the inhomogeneity is small to nano-size, since the equilibrium lattice spacing in the interface is different from that in the bulk, the interface stress effect must be considered.…”