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Article

Nonlinear Analysis of the Multi-Layered Nanoplates

by
Mostafa Sadeghian
*,
Arvydas Palevicius
,
Paulius Griskevicius
and
Giedrius Janusas
*
Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania
*
Authors to whom correspondence should be addressed.
Mathematics 2024, 12(22), 3545; https://doi.org/10.3390/math12223545
Submission received: 17 October 2024 / Revised: 5 November 2024 / Accepted: 6 November 2024 / Published: 13 November 2024

Abstract

This text investigates the bending/buckling behavior of multi-layer asymmetric/symmetric annular and circular graphene plates through the application of the nonlocal strain gradient model. Additionally, the static analysis of multi-sector nanoplates is addressed. By considering the van der Waals interactions among the layers, the higher-order shear deformation theory (HSDT), and the nonlocal strain gradient theory, the equilibrium equations are formulated in terms of generalized displacements and rotations. The mathematical nonlinear equations are solved utilizing either the semi-analytical polynomial method (SAPM) and the differential quadrature method (DQM). Also, the available references are used to validate the results. Investigations are conducted to examine the effect of small-scale factors, the van der Waals interaction value among the layers, boundary conditions, and geometric factors.
Keywords: nonlinear analysis; nonlocal strain gradient theory; multi-layered nanoplates; DQM; SAPM nonlinear analysis; nonlocal strain gradient theory; multi-layered nanoplates; DQM; SAPM

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MDPI and ACS Style

Sadeghian, M.; Palevicius, A.; Griskevicius, P.; Janusas, G. Nonlinear Analysis of the Multi-Layered Nanoplates. Mathematics 2024, 12, 3545. https://doi.org/10.3390/math12223545

AMA Style

Sadeghian M, Palevicius A, Griskevicius P, Janusas G. Nonlinear Analysis of the Multi-Layered Nanoplates. Mathematics. 2024; 12(22):3545. https://doi.org/10.3390/math12223545

Chicago/Turabian Style

Sadeghian, Mostafa, Arvydas Palevicius, Paulius Griskevicius, and Giedrius Janusas. 2024. "Nonlinear Analysis of the Multi-Layered Nanoplates" Mathematics 12, no. 22: 3545. https://doi.org/10.3390/math12223545

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