Title Nonlinear analysis of the multi-layered nanoplates /
Authors Sadeghian, Mostafa ; Palevicius, Arvydas ; Griškevičius, Paulius ; Janusas, Giedrius
DOI 10.3390/math12223545
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Is Part of Mathematics.. Basel : MDPI. 2024, vol. 12, iss. 22, art. no. 3545, p. 1-19.. ISSN 2227-7390
Keywords [eng] nonlinear analysis ; nonlocal strain gradient theory ; multi-layered nanoplates ; DQM ; SAPM
Abstract [eng] 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.
Published Basel : MDPI
Type Journal article
Language English
Publication date 2024
CC license CC license description