Electromechanical fields around a screw dislocation in a cubic piezoelectric crystal

Explicit and closed-form expressions for the electromechanical fields around a screw dislocation in a cubic piezoelectric crystal are presented. Governing equations for anti-plane elastic deformation coupled with in-plane electric field are derived and solutions in terms of complex variables are obtained. The effect of coordinate rotation on the solution is studied. The results are expressed in both rectangular and cylindrical coordinates. Also determined is the electric enthalpy associated with the dislocation. The interaction of two parallel dislocations is discussed with reference to the Peach–Koehler force. A crack problem is solved as an illustration of the application of present solutions.