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The axisymmetric torsional contact problem of a functionally graded piezoelectric coated half-space

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Abstract

In this article, we study the axisymmetric torsional contact problem of a half-space coated with functionally graded piezoelectric material (FGPM) and subjected to a rigid circular punch. It is found that, along the thickness direction, the electromechanical properties of FGPMs change exponentially. We apply the Hankel integral transform technique and reduce the problem to a singular integral equation, and then numerically determine the unknown contact stress and electric displacement at the contact surface. The results show that the surface contact stress, surface azimuthal displacement, surface electric displacement, and inner electromechanical field are obviously dependent on the gradient index of the FGPM coating. It is found that we can adjust the gradient index of the FGPM coating to modify the distributions of the electric displacement and contact stress.

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Acknowledgements

The project was supported by the National Natural Science Foundation of China (Grants 11272040, 11322218) and the Fundamental Research Funds for the Central Universities (Grant 2016YJS113).

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Authors and Affiliations

  1. Institute of Engineering Mechanics, Beijing Jiaotong University, Beijing, 100044, China

    Jie Su, Liao-Liang Ke & Yue-Sheng Wang

  2. School of Computing, Engineering and Mathematics, Western Sydney University, Penrith South, NSW, 2751, Australia

    Yang Xiang

  3. Centre for Infrastructure Engineering, Western Sydney University, Penrith South, NSW, 2751, Australia

    Yang Xiang

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  1. Jie Su
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Su, J., Ke, LL., Wang, YS. et al. The axisymmetric torsional contact problem of a functionally graded piezoelectric coated half-space. Acta Mech. Sin. 33, 406–414 (2017). https://doi.org/10.1007/s10409-016-0627-6

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