Nonlinear Analysis of the Multi-Layered Nanoplates

Mostafa Sadeghian (), Arvydas Palevicius, Paulius Griskevicius and Giedrius Janusas ()
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Mostafa Sadeghian: Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania
Arvydas Palevicius: Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania
Paulius Griskevicius: Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania
Giedrius Janusas: Faculty of Mechanical Engineering and Design, Kaunas University of Technology, Studentu 56, 51424 Kaunas, Lithuania

Mathematics, 2024, vol. 12, issue 22, 1-19

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 (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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