Analysis of stress and electric fields in a rectangular piezoelectric body with a center crack under anti-plane shear loadin

The singular stress and electric ®elds in a rectangular piezoelectric ceramic body containing a Grith center crack under anti-plane shear loading are obtained by the theory of linear piezoelectricity. Fourier transforms and Fourier sine series are used to reduce the problem to a pair of dual integral equations, which is expressed to a Fredholm integral equation of the second kind. Numerical values on the stress intensity factor and the energy release rate are obtained to show the in¯uence of the electric ®eld