 | | 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
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In English (Mech. Solids): | | 5065 |
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Yu-fang Zheng, Bo-wen Liu, Feng Wang, and Chang-ping Chen, "Nonlinear Bending Study of Size-Dependent Magneto-Electro-Elastic Laminated Nanobeams under Flexomagnetoelectric Effect," Mech. Solids. 60 (2), 1087-1104 (2025) |
Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
1087-1104 |
DOI |
10.1134/S0025654425600072 |
Title |
Nonlinear Bending Study of Size-Dependent Magneto-Electro-Elastic Laminated Nanobeams under Flexomagnetoelectric Effect |
Author(s) |
Yu-fang Zheng (College of Civil Engineering, Fuzhou University, Fuzhou, Fujian, 350108 China, zheng_yufang@163.com)
Bo-wen Liu (College of Civil Engineering, Fuzhou University, Fuzhou, Fujian, 350108 China)
Feng Wang (College of Civil Engineering, Fuzhou University, Fuzhou, Fujian, 350108 China, wang_feng0524@163.com)
Chang-ping Chen (Quanzhou Normal University, Quanzhou, Fujian, 362000 China) |
Abstract |
The nonlinear model of size-dependent magneto-electro-elastic (MEE) laminated Timoshenko nanobeam is established by considering the effects of von Karman nonlinear theory, two-parameter Winkler–Pasternak foundation, nonlocal strain gradient theory (NSGT) and flexomagnetoelectric (FME) effect. The nonlinear differential equation of MEE laminated nanobeams is
acquired by means of the Hamiltonian principle, and the Galerkin method is employed to truncate it.
In the numerical simulations, the influences of Winkler–Pasternak foundation parameters, scale
parameters, FME effect, external electric potential and external magnetic potential on the bending
characteristics of MEE laminated nanobeams are qualitatively examined and contrasted with the
related literature. Results show that the FME effect slightly reduces the maximum deflection of the
nanobeam. It is affected by multiple parameters, among which the influence of scale parameters is
prominent. In engineering applications, attention should be paid to the influences of factors such as high span ratio and lamination sequence. |
Keywords |
magneto-electro-elastic, flexomagnetoelectric, nonlocal strain gradient, laminated nanobeams, von Karman nonlinear theory, Winkler–Pasternak foundation |
Received |
19 January 2025 | Revised |
12 February 2025 | Accepted |
15 February 2025 |
Link to Fulltext |
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