Damage and fracture mechanics of the piezoelectric medium is a very important branch of solid mechanics. First, the current research on the damage and fracture mechanics of piezoelectric materials is reviewed. Three topics are addressed: (1) different formulation of the electric boundary of defect and its effect on the mechanical behaviour of the damage and fracture of the piezoelectric medium; (2) static analys for the fracture by using the continuum mechanics and mesomechanics approach; (3) some new res...