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The axisymmetric love wave in elastic solids and its special properties

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Abstract

With the advances of material processing technology and miniaturization of mechanical devices and components, it is clear now that curvilinear coordinate systems in dealing with special configurations of elastic solids including cylinders are also naturally needed in the analytical process. By adopting the cylindrical coordinates, it is found that the Love wave in semi-infinite solids possess the same velocity as in the Cartesian coordinates, but the displacement is dependent on radius near the origin and decaying slowly with the radius by exhibiting a strong contrast of the uniform displacement in the Cartesian formulation. Numerical examples show that the asymptotic approximation is accurate in one wavelength away from the origin, implying that solutions will be different only in the vicinity of the point of excitation.

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Acknowledgements

This research is partially supported by the National Natural Science Foundation of China (Grant 11672142). Additional supports are from the Technology Innovation 2025 Program of the Municipality of Ningbo (Grant 2019B10122), Research and Development Program of Key Disciplines of Guangdong Province (Grant 2020B0101040002), and Research and Development Program in Key Disciplines of Hunan Province (Grant 2019GK2111).

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Authors and Affiliations

  1. Piezoelectric Device Laboratory, School of Mechanical Engineering & Mechanics, Ningbo University, 818 Fenghua Road, Ningbo, 315211, Zhejiang, China

    Chunlei Bian, Ji Wang, Longtao Xie & Yangyang Zhang

  2. School of Mechanical Engineering & Mechanics, TXC-NBU Joint Center of Research, Ningbo University, 818 Fenghua Road, Ningbo, 315211, Zhejiang, China

    Ji Wang, Longtao Xie & Yangyang Zhang

  3. National Center for Nanoscience and Technology, 11 Beiyitiao Road, Zhongguancun, Beijing, 100190, China

    Honglang Li

  4. GBA Research Innovation Institute for Nanotechnology, 136 Kaiyuan Avenue, Huangpu, Guangzhou, 510530, Guangdong, China

    Honglang Li

  5. Institute of Acoustics, Chinese Academy of Sciences, 21 West Beisihuan Road, Zhongguancun, Beijing, 100190, China

    Yahui Tian

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  1. Chunlei Bian
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  2. Ji Wang
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  3. Longtao Xie
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  4. Yangyang Zhang
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  5. Honglang Li
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Correspondence to Ji Wang.

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Bian, C., Wang, J., Xie, L. et al. The axisymmetric love wave in elastic solids and its special properties. Arch Appl Mech 92, 649–655 (2022). https://doi.org/10.1007/s00419-021-02082-1

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