Closed form solutions for all three modes of fracture for an infinite
piezoelectric medium containing a center crack subjected to a combined
mechanical and electrical loading were obtained. The explicit mechani
cal and electrical fields near the crack tip were derived, from which
the strain energy release rate and the total potential energy release
rate were obtained by using the crack closure integral. The suitabilit
y in using the stress intensity factor, the total energy release rate,
or the mechanical strain energy release rate as the fracture criterio
n was discussed.