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Bending and vibration of one-dimensional hexagonal quasicrystal layered plates with imperfect interface

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Abstract

In this paper, the bending deformation, free vibration and forced vibration of one-dimensional hexagonal quasicrystal layered plates with imperfect interfaces are investigated. The generalized linear spring layer model is adopted to simulate the interface bonding defects caused by the slip or debonding of quasicrystal materials due to actual production or interlayer aging. The imperfect interface transfer matrix is established for one-dimensional hexagonal quasicrystal layered plates and the analytical solutions of phonon displacements, phonon stresses, phason displacements and phason stresses for static bending, the natural frequency for free vibration, and the displacements of phonon and phason fields for forced vibration under a harmonic excitation are then derived by the pseudo-Stroh formalism. Numerical examples are provided to analyze the influence of the stacking sequence and the imperfect interface parameter of two sandwich plates composed of crystal and quasicrystal materials on the bending deformation and vibrational response of layered quasicrystal composite plates. Furthermore, the presented three-dimensional plate model is applied to quasicrystal-coated aluminium-based composites in engineering practice.

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Acknowledgements

Project supported by the National Natural Science Foundation of China (Nos. 12072166 and 11862021), Program for Science and Technology of Inner Mongolia Autonomous Region (No. 2021GG0254), the Natural Science Foundation of Inner Mongolia Autonomous Region of China (2020MS01006) and the Independent Research Key Program of Center for Applied Mathematics of Inner Mongolia (ZZYJZD2022002).

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Authors and Affiliations

  1. Department of Mechanics, Inner Mongolia University of Technology, Hohhot, 010051, People’s Republic of China

    H. T. Wang & J. H. Guo

  2. School of Aeronautics, Inner Mongolia University of Technology, Hohhot, 010051, People’s Republic of China

    J. H. Guo

  3. College of Energy and Power Engineering, Inner Mongolia University of Technology, Hohhot, 010051, People’s Republic of China

    X. Jiang & M. Z. Gao

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Wang, H.T., Guo, J.H., Jiang, X. et al. Bending and vibration of one-dimensional hexagonal quasicrystal layered plates with imperfect interface. Acta Mech 233, 4029–4046 (2022). https://doi.org/10.1007/s00707-022-03318-z

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