A theoretical fracture mechanics for brittle piezoelectric and dielectric m
aterials is developed consistent with standard features of elasticity and d
ielectricity. The influence of electric field and mechanical loading is con
sidered in this approach and a Griffith style energy balance is used to est
ablish the relevant energy release rates. Results an given for a finite cra
ck in an infinite isotropic dielectric and for steady state cracking in a p
iezoelectric strip. In the latter problem, the effect of charge separation
in the material and discharge in the crack are considered. Observations of
crack behavior in piezoelectrics under combined mechanical and electrical l
oad are discussed to assess which features of the theory are useful.