The Plane Problem Solution of Piezoelectric Material with a Line Crack

Abstract:

A two-dimensional electromechanical analysis is performed on a transversely isotropic piezoelectric material containing a line crack of length 2a, which is subjected to uniform distributed forces with intensity q along the crack faces and uniform electric displacement fields at infinity. Based on the impermeable electric boundary conditions, the closed complex form expression for the electromechanical fields are deduced in the vicinity of the crack. Taking PZT-4 ceramic into consideration, electromechanical fields under different loads are illustrated through several examples. It can be seen that electromechanical fields show 1/2 order singularity at the crack tip, and the piezoelectric effect can’t be negelected.