 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
|
| In English (Mech. Solids): | | 5065 |
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| Y.S. Li, A.Q. Li, S.S. Zhou, R.M. Zhang, G.F. Wei, F. Ren, J.W. Qiao, and S.J. Zhou, "Analysis of Mechanical Properties of Flexoelectric Nano-plates Based on Nonlocal Strain Gradient Theory," Mech. Solids. 60 (2), 1272-1288 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
1272-1288 |
| DOI |
10.1134/S0025654425600151 |
| Title |
Analysis of Mechanical Properties of Flexoelectric Nano-plates Based on Nonlocal Strain Gradient Theory |
| Author(s) |
Y.S. Li (School of Mechanical Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353 China)
A.Q. Li (School of Mechanical Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353 China)
S.S. Zhou (School of Mechanical Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353 China, shmilyshsh@163.com)
R.M. Zhang (School of Mechanical Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353 China)
G.F. Wei (School of Mechanical Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353 China)
F. Ren (School of Mechanical Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353 China)
J.W. Qiao (School of Mechanical Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353 China)
S.J. Zhou (School of Mechanical Engineering, Shandong University, Jinan, 250061 China) |
| Abstract |
At present, nano-plates with flexoelectric effect have become a research hotspot because
they are not affected by material symmetry, so the range of material choices is significantly expanded
compared with traditional piezoelectric materials. In this study, considering the flexoelectric effect
and utilizing the nonlocal strain gradient theory (NSGT), a novel model is introduced for analyzing
transversely isotropic rectangular nano-plates under a distributed load. This new model takes into
account nonlocal effect, size effect, and flexoelectricity. By applying the Hamilton principle, the governing equations are derived for two different circuits. In order to verify the validity of the new model,
we compare it with the results of the finite element method (FEM) and give its first eight mode shapes.
At the same time, the theoretical model is numerically solved, and based on the numerical results, the
mechanical properties of the flexoelectric nano-plate are analyzed and discussed. The theoretical and
simulation results of this paper provide a reliable theoretical support for the design of devices based on flexoelectric nano-plates. |
| Keywords |
flexoelectric effect, rectangular nano-plate, nonlocal strain gradient theory |
| Received |
14 January 2025 | Revised |
28 February 2025 | Accepted |
02 March 2025 |
| Link to Fulltext |
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