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Wave Propagation in Graphene Platelet-Reinforced Piezoelectric Sandwich Composite Nanoplates with Nonlocal Strain Gradient Effects

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Abstract

This research develops an analytical approach to explore the wave propagation problem of piezoelectric sandwich nanoplates. The core of the sandwich nanoplates is a nanocomposite layer reinforced with graphene platelets, which is integrated by two piezoelectric layers exposed to electric field. The material properties of nanocomposite layer are obtained by the Halpin–Tsai model and the rule of mixtures. The Euler–Lagrange equations of nanoplates are derived from Hamilton’s principle. By using the nonlocal strain gradient theory, the nonlocal governing equations are presented. Finally, numerical studies are conducted to demonstrate the influences of propagation angle, small-scale and external loads on wave frequency. The results reveal that the frequency changes periodically with the propagation angle and can be reduced by increasing voltage, temperature and the thickness of graphene platelets.

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Acknowledgements

This work was supported in part by the National Natural Science Foundation of China (Grant Nos. 11502218, 11672252 and 11602204), and the Fundamental Research Funds for the Central Universities of China (Grant No. 2682020ZT106).

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Authors and Affiliations

  1. Applied Mechanics and Structure Safety Key Laboratory of Sichuan Province, School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Biao Hu, Juan Liu, Bo Zhang & Huoming Shen

  2. School of Mechanics and Engineering, Southwest Jiaotong University, Chengdu, 610031, China

    Juan Liu & Huoming Shen

Authors
  1. Biao Hu
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  2. Juan Liu
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  3. Bo Zhang
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  4. Huoming Shen
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Correspondence to Juan Liu or Huoming Shen.

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Hu, B., Liu, J., Zhang, B. et al. Wave Propagation in Graphene Platelet-Reinforced Piezoelectric Sandwich Composite Nanoplates with Nonlocal Strain Gradient Effects. Acta Mech. Solida Sin. 34, 494–505 (2021). https://doi.org/10.1007/s10338-021-00230-2

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  • DOI: https://doi.org/10.1007/s10338-021-00230-2

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