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ANTI-PLANE MOVING CRACK IN FUNCTIONALLY GRADED PIEZOELECTRIC MATERIALS

机译:功能梯度压电材料中的反平面运动裂纹

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摘要

This paper considers the anti-plane moving crack in functionally graded piezoelectric materials (FGPM). The governing equations for FGPM are solved by means of Fourier cosine transform. The mathematical formulation for the permeable crack condition is derived as a system of dual integral equations. By appropriate transformations, it is shown that the dual integral equations can be reduced to a Fredholm integral equation of the second kind. The results obtained indicate that the stress intensity factor of moving crack in FGPM depends only on the mechanical loading. The gradient parameter of the FGPM and the moving velocity of the crack do have significant influence on the dynamic stress intensity factor.
机译:本文考虑了功能梯度压电材料(FGPM)中的反平面运动裂纹。 FGPM的控制方程通过傅立叶余弦变换求解。渗透裂缝条件的数学公式是对偶积分方程组。通过适当的变换,表明对偶积分方程可以简化为第二种Fredholm积分方程。所得结果表明,FGPM中运动裂纹的应力强度因子仅取决于机械载荷。 FGPM的梯度参数和裂纹的移动速度确实对动态应力强度因子有重要影响。

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