Transient Thermoelectromechanical Response of a Functionally Graded Piezoelectric Material Strip with an Infinite Row of Parallel Cracks

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  • UEDA Sei
    Department of Mechanical Engineering, Osaka Institute of Technology
  • ASHIDA Yuki
    大阪工業大学大学院工学研究科

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  • 平行き裂群を有する傾斜機能圧電厚板の非定常電気熱弾性応答
  • ヘイコウ キレツグン オ ユウスル ケイシャ キノウ アツデン アツイタ ノ ヒテイジョウ デンキ ネツ ダンセイ オウトウ

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Abstract

In this paper, the problem of an infinite row of parallel cracks in a functionally graded piezoelectric material strip (FGPM strip) is analyzed under transient thermal loading condition. The crack faces are supposed to be completely insulated. Material properties are assumed to be exponentially dependent on the distance from the bottom surface. The superposition technique is used to solve the governing equations. The transient temperature and thermal stress in an uncracked strip are the same as the previous results. This thermal stress is used as the crack surface traction with opposite sign to formulate the mixed boundary value problem. By using the Fourier transform, the thermoelectromechanical problem is reduced to a singular integral equation. The singular integral equation is solved by using the Gauss-Jacobi integration formula. The stress intensity factors for both the embedded and edge cracks are computed. The results for the crack contact problem are also included.

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