Interaction between a screw dislocation and a circular inhomogeneity with an interfacial crack in viscoelastic media

Abstract

The viscoelastic interaction between a screw dislocation in the matrix and a circular inhomogeneity with an interfacial crack under remote antiplane shear is dealt with. Utilizing the Laplace transform method, the viscoelastic problem is reduced to an associated elastic one. The viscoelastic solutions are presented in the transformed field by using complex variable method. The full stress field and the intensity factors of crack tips and the image force acting on the dislocation are derived analytically through Laplace inverse transform method. The numerical analysis and discussion results show that the image force depends much on the visco-effects of materials, which is different from the case of elastic materials. The influence of the location of dislocation and the length of crack upon the image force decreases obviously and evolves toward a stable terminal state as time elapses. The results presented in this study are in agreement with the previous solution as special cases.

Keywords

viscoelastic interaction / screw dislocation / circular inhomogeneity / interfacial crack / Laplace transform