A Functionally Graded Piezoelectric Strip with an Annular Crack Under Terhmoelectric Loadings

Abstract

A thermoelectroelastic problem of a functionally graded piezoelectric material (FGPM) strip containing an annular crack is solved. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under the thermoelectric loadings. The crack faces are supposed to be insulated thermally and electrically. By using the Hankel transform, the thermal and electromechanical problems are reduced to a singular integral equation and a system of singular integral equations, respectively. Numerical calculations are carried out, and detailed results are presented to illustrate the influence of the crack size, the crack location and the material nonhomogeneity on the stress and electric displacement intensity factors. It can be found that the normalized intensity factors are under the great influence of the geometric parameters and the effect of the material nonhomogeneity on the intensity factors depends on the geometric parameters.