Nanoscale anti-plane cracking of materials with consideration of bulk and surface piezoelectricity effects

The influence of surface effect, including surface elasticity and surface piezoelectricity, on the fracture behavior of piezoelectricmaterials with an anti-plane crack is studied.Based on the coupled surface and interface elasticity model, the solutions to the problem are obtained by applying the singular integral method. By comparing the solutions influenced by the surface piezoelectricity with those affected by the surface elasticity, it is found that the influence of the surface piezoelectricity on the crack opening displacement, the crack electric potential jump across the crack center, the crack tip stress and electric displacement intensity factors cannot be ignored. Under various electrical boundary conditions, the influence of surface piezoelectricity on the sliding displacement, crack tip stress and electric displacement intensity factors exhibits the same tendency. Besides, the influence of surface piezoelectricity on the electric displacement intensity factor is independent of the electrical boundary conditions, which is different from the results where only the surface elasticity is considered.