自由表面に平行な2個の軸対称き裂を有する傾斜機能圧電厚板の電気熱弾性応答

抄録

A mixed-mode thermoelectroelastic fracture problem of a functionally graded piezoelectric material (FGPM) strip containing two parallel axisymmetric cracks, such as penny-shaped or annular cracks, is considered in this study. It is assumed that the thermoelectroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under thermal loading. The crack faces are supposed to be insulated thermally and electrically. Using integral transform techniques, the problem is reduced to that of solving two systems of singular integral equations. Systematic numerical calculations are carried out and the variations of the stress and electric displacement intensity factors are plotted for various values of dimensionless parameters representing the crack size, the crack location, and the material inhomogeneity. The following facts can be found from the numerical results. The normalized intensity factors are under the great influence of the geometric parameters. The effect of the material inhomogeneity on the intensity factors depends on the geometric parameters