Large deflection analysis of graphene sheets in the thermal environment using higher-order nonlocal strain gradient principle

Articles in Press

Document Type : Research Article

Authors

1 Department of Mechanical Engineering, Faculty of Engineering, Ferdowsi University of Mashhad, Mashhad, Iran

2 Ferdowsi University of Mashhad

Abstract

This paper investigates the large deflection of a sector nanoplate on the Winkler elastic foundation in the thermal environment based on the nonlocal strain gradient principle. By taking into account von Karman’s nonlinear strains and applying the higher-order shear deformation theory (HSDT), the governing equations of the graphene plate are derived. By presenting acceptable accuracy without the need for a shear correction coefficient, HSDT eliminates the defects of the first shear deformation theory (FSDT) and provides an appropriate distribution for shear stress along the thickness. The equations have been solved using the differential quadrature method (DQM) and the extended Kantorovich method (EKM). The results of the present study are compared with the available references which demonstrate good agreement among them. For example, the results of the present study for the radius ratios of 0.25,0.5 and 0.75, have 0.35%, 2.83%, and 7% differences with Ref. [50]. In conclusion, this study examines the impact of various small-scale parameters, load, boundary conditions, geometric dimensions, and elastic foundation on the maximum nondimensional deflection in the thermal environment.

Keywords

Main Subjects

Mechanics of Advanced Composite Structures

Articles in Press, Accepted Manuscript
Available Online from 07 February 2025

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