Plane Electromechanical Fields in a Piezoelectric Material Containing an Elliptical Hole

A two-dimensional electromechanical analysis is performed on a transversely isotropic piezoelectric material containing an elliptical hole, which is subjected to uniform compressive forces with intensity q acting on the edge of the hole and uniform electric displacement fields at infinity. Based on the impermeable electric boundary conditions, general electromechanical fields solution are obtained in the form of complex potentials.

The Plane Problem Solution of Piezoelectric Material with a Line Crack

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.

Plane Electromechanical Fieldes in a Piezoelectric Material with a Crack

A two-dimensional electromechanical analysis is performed on a transversely isotropic piezoelectric material containing a crack based on the impermeable electric boundary condition. By introducing stress function, a general solution is provided in terms of triangle series. It is shown that the stress and electric displacement are all of 1/2 order singularity in front of the crack tip. In addition, the electromechanical fields in the vicinity of the crack when subjected to uniform tensile mechanical load are obtained using boundary collocation method.