Two Parallel Penny-Shaped or Annular Cracks in a Functionally Graded Piezoelectric Strip Under Electric Loading

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  • 2個の平行な円板状あるいは円環状き裂を有する傾斜機能圧電厚板の電気弾性応答
  • 2コ ノ ヘイコウ ナ エンバンジョウ アルイワ エン カンジョウ キレツ オ ユウスル ケイシャ キノウ アツデン アツイタ ノ デンキ ダンセイ オウトウ

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Abstract

In this paper, the mixed-mode fracture problem of two penny-shaped or annular cracks in a functionally graded piezoelectric material (FGPM) strip is considered. It is assumed that the electroelastic properties of the strip vary continuously along the thickness of the strip, and that the strip is under electric loading. The crack faces are supposed to be insulated electrically. The problem is formulated in terms of a system of singular integral equations, which are solved numerically. Numerical calculations are carried out, and the stress and electric displacement intensity factors are presented for various values of dimensionless parameters representing the crak size, the crack location, and the material nonhomogeneity. 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.

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