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Guided Waves in the Multilayered One-Dimensional Hexagonal Quasi-crystal Plates

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Abstract

Guided waves in the multilayered one-dimensional quasi-crystal plates are, respectively, investigated in the context of the Bak and elasto-hydrodynamic models. Dispersion curves and phonon and phason displacements are calculated using the Legendre polynomial method. Wave characteristics in the context of these two models are analyzed in detail. Results show that the phonon–phason coupling effects on the first two layers are the same at low frequencies; but, they are more significant on the first layer than those on the second layer at high frequencies. These obtained results lay the theoretical basis of guided-wave nondestructive test on multilayered quasi-crystal plates.

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Acknowledgements

The authors gratefully acknowledge the support by the National Natural Science Foundation of China (No. U1804134 and No. 51975189), the Program for Innovative Research Team of Henan Polytechnic University (No. T2017-3) and the Key Scientific and Technological Project of Henan Province (Nos. 192102210189 and 182102210314).

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  1. School of Mechanical and Power Engineering, Henan Polytechnic University, Jiaozuo, 454003, China

    B. Zhang, J. G. Yu, X. M. Zhang & X. H. Wang

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  1. B. Zhang
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  2. J. G. Yu
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  3. X. M. Zhang
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  4. X. H. Wang
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Correspondence to J. G. Yu.

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Zhang, B., Yu, J.G., Zhang, X.M. et al. Guided Waves in the Multilayered One-Dimensional Hexagonal Quasi-crystal Plates. Acta Mech. Solida Sin. 34, 91–103 (2021). https://doi.org/10.1007/s10338-020-00178-9

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  • DOI: https://doi.org/10.1007/s10338-020-00178-9

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