Analyses of Piezoelectric Isotropic Materials with Elliptical Cavity, Rigid Boundary or Elastic Inclusion under Out-of-Plane Shear Loadings and their Numerical Examples.

Abstract

Piezoelectric materials are widely used in industrial areas from the excellent results of the mechanical and electrical couplings such as the expectation to reduce stress concentrations by electrical controls. Contrary to this expectation, piezoelectric materials may have some tendencies to develop critical crack growth because of stress concentrations induced by both mechanical and electrical loads. Therefore, it is necessary to study the behavior of stresses and displacements at the vicinity of the stress concentrated region like a cavity or crack as well as elliptical inclusion. In this paper, a two-dimensional electroelastic analysis is performed on a isotropic piezoelectric material containing elliptical defect under the cases of out of plane shear loadings at infinity. General solutions are provided in terms of complex functions, with emphasis being placed on stress concentrations. Several numerical examples are given for both mechanical and electrical loads.