An eccentric crack in a piezoelectric strip under anti-plane shear impact loading

We consider the problem of determining the singular stress and electric fields in a piezoelectric ceramic strip containing a Griffith eccentric crack off the center line under anti-plane shear impact loading with the theory of linear piezoelectricity. Laplace transform and Fourier transforms are used to reduce the problem to a pair of dual integral equations, which are expressed to a Fredholm integral equation of the second kind. Numerical values on the dynamic stress intensity factor and the dynamic energy release rate are obtained.