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Thermal Buckling Analysis of Circular Bilayer Graphene sheets Resting on an Elastic Matrix Based on Nonlocal Continuum Mechanics

Abstract

In this article, the thermal buckling behavior of orthotropic circular bilayer graphene sheets embedded in the Winkler–Pasternak elastic medium is scrutinized. Using the nonlocal elasticity theory, the bilayer graphene sheets are modeled as a nonlocal double–layered plate that contains small scale effects and van der Waals (vdW) interaction forces. The vdW interaction forces between the layers are simulated as a set of linear springs using the Lennard–Jones potential model. Using the principle of virtual work, the set of equilibrium equations are obtained based on the first-order shear deformation theory (FSDT) and nonlocal differential constitutive relation of Eringen. Differential quadrature method (DQM) is employed to solve the governing equations for simply-supported and clamped boundary conditions. Finally, the effects of the small scale parameter, vdW forces, aspect ratio, elastic foundation, and boundary conditions are considered in detail.

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Category:
Articles
Type:
artykuły w czasopismach
Published in:
Journal of Applied and Computational Mechanics no. 7, pages 1862 - 1877,
ISSN: 2383-4536
Language:
English
Publication year:
2021
Bibliographic description:
Ahmad Pour M., Golmakani M. E., Malikan M.: Thermal Buckling Analysis of Circular Bilayer Graphene sheets Resting on an Elastic Matrix Based on Nonlocal Continuum Mechanics// Journal of Applied and Computational Mechanics -Vol. 7,iss. 4 (2021), s.1862-1877
DOI:
Digital Object Identifier (open in new tab) 10.22055/jacm.2019.31299.1859
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  88. M. Malikan https://orcid.org/0000-0001-7356-2168
  89. © 2020 by the authors. Licensee SCU, Ahvaz, Iran. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0 license) (http://creativecommons.org/licenses/by-nc/4.0/). open in new tab
  90. How to cite this article: Ahmad Pour M., Golmakani M.E., Malikan M. Thermal Buckling Analysis of Circular Bilayer Graphene Sheets Resting on an Elastic Matrix Based on Nonlocal Continuum Mechanics, J. Appl. Comput. Mech., 7(1), 2021, x-xx. https://doi.org/10.22055/JACM.2019.31299.1859 open in new tab
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