On the electro-mechanical fields near V notches in piezoelectric ceramics

A kind of super singular element suitable for analysis on the adjacent domain of a piezoelectric V-notch is established based on the generalized Hellinger-Reissner variational principle. Through incorporating this super singular element with the standard four-node quadrilateral piezoelectric element, a new hybrid element model is established to compute the electro-mechanical quantities near the tips of piezoelectric V-notches. To verify present finite element model, V-notched TPB specimens with different notch angles are calculated with this new technique. It is observed that all the numerical results are coincident very well with the experiment results measured by moiré interferometry technique.