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Propagation of shear-horizontal waves in piezoelectric plates of cubic crystals

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Abstract

Shear-horizontal waves in a piezoelectric plate of cubic crystals are studied theoretically. Both electroded and unelectroded plates are considered. Exact solutions from the equations of linear piezoelectricity are obtained. The dispersion curves and the distributions of the mechanical displacement and electric potential are presented. There exists a nondispersive face-shear wave. The rest of the waves are dispersive thickness-twist waves. The waves separate into symmetric and antisymmetric groups about the plate middle plane. The dispersion curves for electroded and unelectroded plates are very similar to each other for real wave numbers but have qualitatively different behaviors for pure imaginary wave numbers. For unelectroded plates, neglecting the electric field in the surround free space does not have significant effects.

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Acknowledgments

This work was supported by the National Natural Science Foundation of China (Nos. 11272161, 11372145), the Y. K. Pao Visiting Professorship at Ningbo University, and the K. C. Wong Magana Fund through Ningbo University.

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Authors and Affiliations

  1. Piezoelectric Device Laboratory, School of Mechanical Engineering and Mechanics, Ningbo University, Ningbo, 315211, Zhejiang, China

    Hui Chen, Ji Wang, Jianke Du & Jiashi Yang

  2. Department of Mechanical and Materials Engineering, University of Nebraska-Lincoln, Lincoln, NE, 68588-0526, USA

    Jiashi Yang

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  1. Hui Chen
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  2. Ji Wang
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  4. Jiashi Yang
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Correspondence to Jiashi Yang.

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Chen, H., Wang, J., Du, J. et al. Propagation of shear-horizontal waves in piezoelectric plates of cubic crystals. Arch Appl Mech 86, 517–528 (2016). https://doi.org/10.1007/s00419-015-1047-y

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