3D mode I crack analysis of piezoelectrics

The finite-part integral concept is first used to prove rigidly hypersingular integral equations for a mode I crack embedded an infinite transversely isotropic piezoelectric solid. With three-dimensional linear piezoelectricity theory, investigations on the singular electroelastic fields in the vicinity of the crack are thereafter made by the dominant-part analysis. Finally, numerical solutions of several typical planar cracks with hypersingular integral equation method are performed to give the electroelastic intensity factor K-fields and the energy release rate G. Accuracies of results are found to be very high.