International Journal of Nano Dimension (Int. J. Nano Dimens.) Buckling analysis of graphene nanosheets based on nonlocal elasticity theory Volume 2 (2011) Issue 4, June 2012 2024 03 01 Buckling analysis of graphene nanosheets based on nonlocal elasticity theory 10.7508/ijnd.2011.04.003 EN A. Tourki Samaei Young Researchers Club, Chalous Branch, Islamic Azad University, Chalous, Iran. Sh. Hosseini Hashemi School of Mechanical Engineering, Iran University of Science and Technology, Tehran 16844, Iran. Journal Article 2024 03 01 This paper proposed analytical solutions for the buckling analysis of rectangular single-layered graphene sheets under in-plane loading on all edges simply is supported. The characteristic equations of the graphene sheets are derived and the analysis formula is based on the nonlocal Mindlin plate. This theory is considering both the small length scale effects and transverse shear deformation effect. Nonlocal elasticity theory takes into account the small length scale effects as examining nanostructures such as nanoplates. It is presented graphically that the small scale or nonlocal effects on the nondimensional buckling loads in the presence of aspect ratio and buckling modes.