Transient response of a crack in piezoelectric strip subjected to the mechanical and electrical impacts: mode-III problem

The linear piezoelectricity theory is applied to investigate the dynamic response of a center-situated crack perpendicular to the edges of the piezoelectric strip subjected to anti-plane mechanical and electrical impacts. Integral transforms and dislocation density functions are employed to reduce the problem to Cauchy singular integral equations. Numerical results show the e€ects of loading combination and the ratio of crack length to strip width on the dynamic stress intensity factor and the dynamic energy release rate. Two cases of crack surface conditions, impermeable and electrical contact, are considered. For an impermeable crack, the dynamic energy release rate may be used as the crack extension force, whereas for an electrical contact crack, the dynamic stress intensity factor remains the fracture parameter at the crack tip since the electrical ®eld does not contribute to the dynamic energy release rate.