A set of closed-form solutions was presented, for generalized edge dislocations, which could be used for the computational fracture mechanics analysis of transversely isotropic piezoelectric solids. These solutions were the basic influence functions which were required in the development of versatile boundary-element based displacement discontinuity methods for piezoelectric solids. Fourier integral transforms were used in the analysis. Exact analytical solutions for the 2-dimensional governing equations of transversely isotropic piezoelectric solids were used. Boundary-value problems which corresponded to 3 types of dislocation were defined and solved. Inverse Fourier transforms were preferred analytically, in order to obtain closed-form solutions. The solutions for point and strip discontinuities of the displacements and electric potentials could be derived from the present solutions by using elementary mathematical operations. The application of the present solutions to the modelling of fracture problems was considered. Selected numerical results illustrated the basic features of electroelastic fields around edge dislocations.

Closed-Form Solutions for Edge Dislocations in Piezoelectric Solids. R.K.N.D.Rajapakse, Y.Zhou: Mechanics of Composite Materials and Structures, 1999, 6[2], 97-115