Interaction between a semi-infinite crack and a screw dislocation in a piezoelectric material

The interaction between a semi-infinite crack and a screw dislocation under antiplane mechanical and in-plane electrical loading in a linear piezoelec tric material is studied in the framework of linear elasticity theory. A st raight dislocation with the Burgers vector normal to the isotropic basal pl ane near a semi-infinite crack tip is considered. In addition to having a d iscontinuous electric potential across the slip plane, the dislocation is s ubjected to a line-force and a line-charge at the core. The explicit soluti on for the model is derived by means of complex variable and conformal mapp ing methods. The classical 1/root r singularity is 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 subjected to external electromechanical loads is calculated. Also, the effect of the screw dislocation with the line-force and line-charge at the core on the cr ack-tip fields is observed through the field intensity factors and the crac k extension force. [S0021-8936(00)01501-4].