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Bending and buckling formulation of graphene sheets based on nonlocal simple first-order shear deformation theory
Abstract
This paper presents a formulation based on simple first-order shear deformation theory (S-FSDT) for large deflection and buckling of orthotropic single-layered graphene sheets (SLGSs). The S-FSDT has many advantages compared to the classical plate theory (CPT) and conventional FSDT such as needless of shear correction factor, containing less number of unknowns than the existing FSDT and strong similarities with the CPT. Governing equations and boundary conditions are derived based on Hamilton's principle using the nonlocal differential constitutive relations of Eringen and von Kármán geometrical model. Numerical results are obtained using differential quadrature (DQ) method and the Newton–Raphson iterative scheme. Finally, some comparison studies are carried out to show the high accuracy and reliability of the present formulations compared to the nonlocal CPT and FSDT for different thicknesses, elastic foundations and nonlocal parameters.
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Full text
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- Accepted or Published Version
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/2053-1591/aac660
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Details
- Category:
- Articles
- Type:
- artykuły w czasopismach
- Published in:
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Materials Research Express
no. 5,
ISSN: 2053-1591 - Language:
- English
- Publication year:
- 2018
- Bibliographic description:
- Golmakani M. E., Malikan M., Sadraee Far M., Majidi H. R.: Bending and buckling formulation of graphene sheets based on nonlocal simple first-order shear deformation theory// Materials Research Express -, (2018), s.065010-
- DOI:
- Digital Object Identifier (open in new tab) 10.1088/2053-1591/aac660
- Sources of funding:
-
- Free publication
- Verified by:
- Gdańsk University of Technology
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