The elastic interaction of an edge dislocation, which was located either outside or inside a circular inhomogeneity, with an interfacial crack was dealt with. Using Riemann–Schwarz’s symmetry principle integrated with the analysis of singularity of the complex potentials, the closed form solutions for the elastic fields in the matrix and inhomogeneity regions were derived explicitly. The image force on the dislocation was then determined by using the Peach–Keohler formula. The influence of the crack geometry and material mismatch upon the dislocation force was evaluated for the case where the dislocation was located in the matrix. It was shown that the interfacial crack had a significant effect upon the equilibrium position of the edge dislocation near to a circular interface. The results also revealed a marked dependence of the dislocation force upon the mismatch of the shear moduli, and the Poisson ratio difference between the matrix and the inhomogeneity.

Edge Dislocation Interacting with an Interfacial Crack along a Circular Inhomogeneity. Q.H.Fang, Y.W.Liu, C.P.Jiang: International Journal of Solids and Structures, 2003, 40[21], 5781-97