Interaction between a Screw Dislocation and a Circular Inhomogeneity with an Interfacial Crack in Viscoelastic Media

摘要

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 factor of crack tip and the force acting on the dislocation are derived analytically through Laplace inverse transform method. As a result, numerical analysis and discussion show what is different from the corresponding elastic problem is the force acting on dislocation depends much on the visco-effect of materials. The influence of the location of dislocation and the length of crack upon the force acting on dislocation decreases obviously and evolves toward a stable terminal state as time elapses. The solution can be used as Green's functions to solve corresponding problems of arbitrary distribution dislocation or problems of the interaction between an interfacial crack and other arbitrary shape cracks in viscoelastic materials. Results presented in this paper are in agreement with the previous solution as special cases.