Interaction of a piezoelectric screw dislocation with a blunt mode III crack in a piezoelectric material

The problem of a piezoelectric screw dislocation emitted from a blunt crack is dealt with in this paper. For an arbitrary distribution of the residual dislocation, the series-form solutions are derived. The results show that the electric field strength inside the crack is in direct proportion to the jump value of electric potential, but independent of the jump value of displacement. The force acting on the dislocation decreases with the value of the dielectric constant within the crack increasing. And the increase of the dielectric constant within the crack helps dislocation emission effectively.

► Dislocation emission in a piezoelectric material is studied.
► The generalized Peach–Koehler formulas are derived based on the energy of the system.
► The results severely affected by the distribution of the residual dislocation.
► The increase of the dielectric constant within the crack helps dislocation emission effectively.