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Guided Wave Propagation in Multilayered Two-dimensional Quasicrystal Plates with Imperfect Interfaces

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Abstract

An analytical solution of the guided wave propagation in a multilayered two-dimensional decagonal quasicrystal plate with imperfect interfaces is derived. According to the elastodynamic equations of quasicrystals (QCs), the wave propagating problem in the plate is converted into a linear control system by employing the state-vector approach, from which the general solutions of the extended displacements and stresses can be obtained. These solutions along the thickness direction are utilized to derive the propagator matrix which connects the physical variables on the lower and upper interfaces of each layer. The special spring model, which describes the discontinuity of the physical quantities across the interface, is introduced into the propagator relationship of the multilayered structure. The total propagator matrix can be used to propagate the solutions in each interface and each layer about the multilayered plate. In addition, the traction-free boundary condition on the top and bottom surfaces of the laminate is considered to obtain the dispersion equation of wave propagation. Finally, typical numerical examples are presented to illustrate the marked influences of stacking sequence and interface coefficients on the dispersion curves and displacement mode shapes of the QC laminates.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11972365, 12102458, and 11972354) and China Agricultural University Education Foundation (No. 1101-2412001).

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Authors and Affiliations

  1. College of Science, China Agricultural University, Beijing, 100083, China

    Xin Feng, Liangliang Zhang, Zhiming Hu & Yang Gao

  2. College of Engineering, China Agricultural University, Beijing, 100083, China

    Xin Feng

  3. China State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences, Beijing, 100190, China

    Han Zhang

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  1. Xin Feng
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  2. Liangliang Zhang
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  4. Han Zhang
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Correspondence to Han Zhang.

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No support, financial or otherwise, has been received from any organization that may have an interest in the submitted work; and there are no other relationships or activities that could appear to have influenced the submitted work.

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Feng, X., Zhang, L., Hu, Z. et al. Guided Wave Propagation in Multilayered Two-dimensional Quasicrystal Plates with Imperfect Interfaces. Acta Mech. Solida Sin. 35, 694–704 (2022). https://doi.org/10.1007/s10338-022-00310-x

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  • DOI: https://doi.org/10.1007/s10338-022-00310-x

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