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Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects

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Abstract

In this study, the wave propagation properties of piezoelectric sandwich nanoplates deposited on an orthotropic viscoelastic foundation are analyzed by considering the surface effects (SEs). The nanoplates are composed of a composite layer reinforced by graphene and two piezoelectric surface layers. Utilizing the modified Halpin-Tsai model, the material parameters of composite layers are obtained. The displacement field is determined by the sinusoidal shear deformation theory (SSDT). The Euler-Lagrange equation is derived by employing Hamilton’s principle and the constitutive equations of piezoelectric layers considering the SEs. Subsequently, the nonlocal strain gradient theory (NSGT) is used to obtain the equations of motion. Next, the effects of scale parameters, graphene distribution, orthotropic viscoelastic foundation, and SEs on the propagation behavior are numerically examined. The results reveal that the wave frequency is a periodic function of the orthotropic angle. Furthermore, the wave frequency increases with the increase in the SEs.

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Authors and Affiliations

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

    Biao Hu, Juan Liu, Yuxing Wang, Bo Zhang & Huoming Shen

  2. School of Mechanical and Electrical Engineering, Southwest Petroleum University, Chengdu, 610500, China

    Jing Wang

Authors
  1. Biao Hu
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  2. Juan Liu
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  3. Yuxing Wang
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  4. Bo Zhang
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  5. Jing Wang
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  6. Huoming Shen
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Correspondence to Juan Liu.

Additional information

Citation: HU, B., LIU, J., WANG, Y. X., ZHANG, B., WANG, J., and SHEN, H. M. Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects. Applied Mathematics and Mechanics (English Edition), 43(9), 1339–1354 (2022) https://doi.org/10.1007/s10483-022-2897-9

Project supported by the National Natural Science Foundation of China (Nos. 11502218, 11672252, 11602204, and 12102373) and the Fundamental Research Funds for the Central Universities of China (No. 2682020ZT106)

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Hu, B., Liu, J., Wang, Y. et al. Study on wave dispersion characteristics of piezoelectric sandwich nanoplates considering surface effects. Appl. Math. Mech.-Engl. Ed. 43, 1339–1354 (2022). https://doi.org/10.1007/s10483-022-2897-9

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  • DOI: https://doi.org/10.1007/s10483-022-2897-9

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