Analysis of a screw dislocation inside an inhomogeneity with interface stress

The problem of a screw dislocation inside a circular inhomogeneity incorporating interface stress is investigated. The analytical expressions of the complex potentials, stress fields and the image force acting on the dislocation are obtained by means of the complex variable method. The image force acting on the screw dislocation is examined in detail. The results show that the influence of the interface stress on the movement and equilibrium positions of the screw dislocation inside the inhomogeneity may be significant when the radius of the inhomogeneity is reduced to nanometer scale. It can be seen that an additional repulsive force or attractive force acting on the dislocation will be produced for considering the interface stress and the normalized image force depends on the size of the inhomogeneity which differs from the classical solution.