Viscoelastic interaction between a screw dislocation and a circular interfacial rigid line

Abstract

The viscoelastic interaction between a screw dislocation and a circular interfacial rigid line under remote antiplane shear is investigated. By using the Laplace transform method, the viscoelastic problem is reduced to an associated elastic one. The viscoelastic solutions to this problem are presented in the transformed field by means of the complex potential technique. Then the full stress field and the image force acting on the dislocation are derived analytically through Laplace inverse transform. Especially, the closed form solutions for viscoelastic materials modeled by the standard linear solid are derived explicitly. Numerical analysis and discussion results show that the image force depends much on the visco-effect of materials and the image force will change direction as time elapses. The results presented are in agreement with the previously known solutions as special cases.

Keywords

viscoelasticity / screw dislocation / circular interfacial rigid line / Laplace transform