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Scale effects on flexural wave propagation in nanoplate embedded in elastic matrix with initial stress

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Abstract

In this paper, the small-scale effects on the flexural wave in the nanoplate are studied. Based on the nonlocal continuum theory, the equation of wave motion is derived and the dispersion relation is presented. Numerical simulations are performed to investigate the influences of the scale coefficient, the surrounding elastic matrix and the initial stress on the wave propagation properties. The results show that the nonlocal model provides an appropriate method to investigate the characteristics of the flexural wave in the nanoplate. Furthermore, the direction and amplitude of the biaxial load, the stiffness of the shearing layer and the Winkler foundation can change the wave properties, significantly.

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Authors and Affiliations

  1. School of Astronautics, Harbin Institute of Technology, P.O. Box 137, Harbin, 150001, P.R. China

    Yi-Ze Wang & Feng-Ming Li

  2. Department of Mechanical Sciences and Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo, 152-8552, Japan

    Yi-Ze Wang & Kikuo Kishimoto

Authors
  1. Yi-Ze Wang
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  2. Feng-Ming Li
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  3. Kikuo Kishimoto
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Correspondence to Yi-Ze Wang or Feng-Ming Li.

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Wang, YZ., Li, FM. & Kishimoto, K. Scale effects on flexural wave propagation in nanoplate embedded in elastic matrix with initial stress. Appl. Phys. A 99, 907–911 (2010). https://doi.org/10.1007/s00339-010-5666-4

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  • DOI: https://doi.org/10.1007/s00339-010-5666-4

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