On the interaction between an edge dislocation and a coated inclusion

Abstract

An analytical solution is derived for the stress field due to an edge dislocation located near a coated inclusion in a solid by using the Muskhelishvili complex variable method. The force on the dislocation is calculated. Examples for various coating thickness and material constant combinations are given and discussed. It is shown that when a coating layer is thick, the elastic properties of the inclusion have no significant influence on the force on the dislocation. Therefore, the equilibrium position and the stability of the dislocation can be obtained in a manner similar to the two-phase model adopted by Dundurs and Mura (Dundurs, J., Mura, T., 1964. Journal of Mechanics and Physics of Solids 12, 177-189.). If the coating layer is thin, both the shear modulus and Poisson's ratio of both the inclusion and the coating can affect and change greatly the equilibrium position and the stability of the dislocation. © 2001 Elsevier Science Ltd. All rights reserved.