The interaction between a semi-infinite crack and a screw dislocation under antiplane mechanical and in-plane electrical loading in a linear piezoelectric material was studied within the framework of linear elasticity theory. A straight dislocation, with its Burgers vector normal to the isotropic basal plane near to a semi-infinite crack tip was considered. In addition to a discontinuous electric potential across the slip plane, the dislocation was subjected to a line force and a line-charge at the core. An explicit solution to the model was derived by means of complex variable and conformal mapping methods. The classical 1/vr singularity was observed for the stress, electric displacement and electric field at the crack tip. The force on a screw dislocation, due to the existence of a semi-infinite crack, subject to external electromechanical loads, was calculated. The effect of a screw dislocation, with a line force and line-charge at the core, upon the crack-tip fields was reflected by the field intensity factors and the crack extension force.

Interaction between a Semi-Infinite Crack and a Screw Dislocation in a Piezoelectric Material. K.Y.Lee, W.G.Lee, Y.E.Pak: Journal of Applied Mechanics, 2000, 67[1], 165-71