E. Karapetian et al., Penny-shaped and half-plane cracks in a transversely isotropic piezoelectric solid under arbitrary loading, ARCH APPL M, 70(1-3), 2000, pp. 201-229
The problem of a penny-shaped crack in a transversely isotropic piezoelectr
ic material loaded by both normal and tangential tractions and by electric
charges is analyzed. Closed-form solutions are obtained for the full electr
oelastic fields as well as for the stress and electric displacement intensi
ty factors. Solutions are also obtained for the (non-trivial) limiting case
of a half-plane crack. The results are illustrated on the example of piezo
ceramics PZT-6B.