Nonlinear Thermal/Mechanical Buckling of Orthotropic Annular/Circular Nanoplate with the Nonlocal Strain Gradient Model

This article presents the nonlinear investigation of the thermal and mechanical buckling of orthotropic annular/circular single-layer/bilayer nanoplate with the Pasternak and Winkler elastic foundations based on the nonlocal strain gradient theory. The stability equations of the graphene plate are d...

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Bibliographic Details
Published in:Micromachines (Basel) 2023-09, Vol.14 (9), p.1790
Main Authors: Sadeghian, Mostafa, Palevicius, Arvydas, Janusas, Giedrius
Format: Article
Language:English
Subjects:
Analysis
annular/circular nanoplate
Bilayers
Boundary conditions
Carbon
Deformation
Differential equations
Foundations
Graphene
HSDT
Load
Mechanical properties
Monolayers
nonlinear
nonlocal strain gradient theory
Sensors
Shear deformation
Shear stress
single-layer/bilayer
Stability
Strain
Thermal buckling
thermal/mechanical buckling
Vibration
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Summary:This article presents the nonlinear investigation of the thermal and mechanical buckling of orthotropic annular/circular single-layer/bilayer nanoplate with the Pasternak and Winkler elastic foundations based on the nonlocal strain gradient theory. The stability equations of the graphene plate are derived using higher-order shear deformation theory (HSDT) and first-order shear deformation theory (FSDT) considering nonlinear von Karman strains. Furthermore, this paper analyses the nonlinear thermal and mechanical buckling of the orthotropic bilayer annular/circular nanoplate. HSDT provides an appropriate distribution for shear stress in the thickness direction, removes the limitation of the FSDT, and provides proper precision without using a shear correction coefficient. To solve the stability equations, the differential quadratic method (DQM) is employed. Additionally, for validation, the results are checked with available papers. The effects of strain gradient coefficient, nonlocal parameter, boundary conditions, elastic foundations, and geometric dimensions are studied on the results of the nondimensional buckling loads. Finally, an equation is proposed in which the thermal buckling results can be obtained from mechanical results (or vice versa).
ISSN:2072-666X
2072-666X
DOI:10.3390/mi14091790