The complex variable method was employed to derive analytical solutions for the interaction between a piezoelectric screw dislocation and a Kelvin-type viscoelastic piezoelectric bimaterial interface. Through analytical continuation, the original boundary value problem could be reduced to an inhomogeneous first-order partial differential equation for a single function of location z = x + iy and time t defined in the lower half-plane, which was free of the screw dislocation. Once the initial, steady-state and far-field conditions were known, the solution to the first order differential equation could be obtained. From the solved function, explicit expressions were then derived for the stresses, strains, electric fields and electric displacements induced by the piezoelectric screw dislocation. Also presented was the image force acting on the screw dislocation due to its interaction with the Kelvin-type viscoelastic interface. The derived solutions were verified by comparing with existing solutions for the simplified cases, and various interesting features were observed, particularly for those associated with the image force.

Interaction between a Screw Dislocation and a Viscoelastic Piezoelectric Bimaterial Interface. X.Wang, E.Pan: International Journal of Solids and Structures, 2008, 45[1], 245-57