Interaction between an edge dislocation and a circular inclusion with interfacial rigid lines

Abstract

The elastic interaction between an edge dislocation and a circular inclusion with interfacial rigid lines is investigated. The edge dislocation is located either in the matrix or in the inclusion. Utilizing the complex variable method, the general solutions for the complex potentials in the matrix and the inclusion are obtained. A closed form solution is derived explicitly in the case of an interfacial rigid line. Image forces on the dislocation are then calculated using the Peach-Koehler formula. The influence of the length of the rigid line and material mismatch on the equilibrium position of the edge dislocation near the inclusion is discussed in detail. It is found that a stable equilibrium point may be available when the edge dislocation moves to the inclusion from infinity, which differs from the corresponding perfect bonding case.