Electroelastic behavior of a cracked piezoelectric ceramics plate subjected to four cases of combined mechanical-electrical Ioads is analyzed. The integral transform method is applied to convert the problem involving an impermeable anti-plane crack to dual integral equations . Solving the resulting equations, the explicit analytic expressions for electroelastic field along the crack line and the intensity factors of relevant quantities near the crack tip and the mechanical strain energy release rate are obtained. The known results for an infinite piezoelectric ceramics plane containing an impermeable anti-plane crack are recoveredfrom the present results only if the thickness of the plate h → ∞.