An analytical solution for a cracked piezoelectric plate according to the PKHS electric boundary condition

Summary Based on the Stroh formalism, an analytical solution for a central crack normal to the poling direction in an infinite plane piezoelectric solid subjected to electromechanical loads at infinity is presented according to the crack model suggested by Parton and Kudryavtsev [1] and used by Hao and Shen [2] (abbreviated as the PKHS type crack [3]) without any treatment of the mapping technique. Under generalized plane deformation, the variable tendency of the energy release rate (ERR) is found to be load-dependent, but the variable tendency of the mechanical strain energy release rate (MSERR) is completely independent of the applied electric loads. It is concluded that the present numerical results under high applied mechanical and electrical loads provide a better understanding for the PKHS type crack, which will benefit to its practical applications.