Impact response of a piezoelectric ceramic cylinder with a penny-shaped crack

The dynamic electroelastic response of a penny-shaped crack in a piezoelectric ceramic cylinder under normal impact is investigated in this study. A plane step pulse strikes the crack and stress wave diffraction takes place. Laplace and Hankel transforms are employed to reduce the transient problem to the solution of a pair of dual integral equations in the Laplace transform plane. The solution of the dual integral equations is then expressed in terms of a Fredholm integral equation of the second kind. A numerical Laplace inversion technique is used to compute the values of the dynamic stress intensity factor, energy release rate and energy density factor for some piezoelectric ceramics, and the results are graphed to display the electroelastic interactions.