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Bending Analysis of Functionally Graded One-Dimensional Hexagonal Piezoelectric Quasicrystal Multilayered Simply Supported Nanoplates Based on Nonlocal Strain Gradient Theory

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Abstract

In this study, the nonlocal strain gradient theory is adopted to investigate the static bending deformation of a functionally graded (FG) multilayered nanoplate made of one-dimensional hexagonal piezoelectric quasicrystal (PQC) materials subjected to mechanical and electrical surface loadings. The FG materials are assumed to be exponential distribution along the thickness direction. Exact closed-form solutions of an FG PQC nanoplate including nonlocality and strain gradient micro-size dependency are derived by utilizing the pseudo-Stroh formalism. The propagator matrix method is further used to solve the multilayered case by assuming that the layer interfaces are perfectly contacted. Numerical examples for two FG sandwich nanoplates made of piezoelectric crystals and PQC are provided to show the influences of nonlocal parameter, strain gradient parameter, exponential factor, length-to-width ratio, loading form, and stacking sequence on the static deformation of two FG sandwich nanoplates, which play an important role in designing new smart composite structures in engineering.

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Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant Nos. 11862021, 12072166), the Program for Young Talents of Science and Technology in Universities of Inner Mongolia Autonomous Region (Grant No. NJYT-19-A06) and the Natural Science Foundation of Inner Mongolia Autonomous Region of China (Grant Nos. 2020MS01006, 2019MS01015, 2019MS01017).

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Authors and Affiliations

  1. Department of Mechanics, Inner Mongolia University of Technology, Hohhot, 010051, China

    Li Zhang, Junhong Guo & Yongming Xing

  2. School of Aeronautics, Inner Mongolia University of Technology, Hohhot, 010051, China

    Junhong Guo

Authors
  1. Li Zhang
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  2. Junhong Guo
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  3. Yongming Xing
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Correspondence to Junhong Guo or Yongming Xing.

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Zhang, L., Guo, J. & Xing, Y. Bending Analysis of Functionally Graded One-Dimensional Hexagonal Piezoelectric Quasicrystal Multilayered Simply Supported Nanoplates Based on Nonlocal Strain Gradient Theory. Acta Mech. Solida Sin. 34, 237–251 (2021). https://doi.org/10.1007/s10338-020-00204-w

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  • DOI: https://doi.org/10.1007/s10338-020-00204-w

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