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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2025-2pp.1087-1104

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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 2025Revised 12 February 2025Accepted 15 February 2025
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