A screw dislocation interacting with an interphase layer between a circular inhomogeneity and the matrix

The interaction of a screw dislocation with an interphase layer between a circular inhomogeneity and the matrix is dealt with. By combining the sectionally holomorphic function, Cauchy integral and Laurent series expansion techniques, the relation among the complex potentials for the three material regions is given, and the functional equation in complex potential for the interphase layer are derived. Explicit series solutions are given for the two cases when the screw dislocation is located in the inhomogeneity or in the matrix. The influence of the interphase layer parameters on interaction energy and dislocation force is evaluated and discussed. The present solutions contain a number of novel and previously known results which can be shown to be special cases.