Transactions on Machine Intelligence 2821-1693 6 2 2023 06 01 Analytical Response of Nonlinear Buckling of Composite Plates Reinforced with Graphene Nanosheets 76 88 181412 10.47176/TMI.2023.76 EN D. Shokri Department of Mechanics, Technical and Engineering Faculty, Imam Khomeini International University, Qazvin, Iran (Master's student) M. R. Ebrahimian Department of Mechanics, Technical and Engineering Faculty, Kar Higher Education Institute, Qazvin, Iran (Assistant Professor) B. Tabibian Department of Mechanics, Technical and Engineering Faculty, Imam Khomeini International University, Qazvin, Iran (Master's student) M. R. Allahverdlou Department of Mechanics, Technical and Engineering Faculty, Imam Khomeini International University, Qazvin, Iran (Master's student). M. S. Atlasbaf Department of Mechanics, Technical and Engineering Faculty, Imam Khomeini International University, Qazvin, Iran (Master's student). Journal Article 2023 03 16 This paper presents a detailed analytical investigation into the nonlinear buckling behavior of a composite rectangular plate reinforced with graphene nanosheets (GNSs). The analysis is grounded in the third-order shear deformation theory (TSDT), which accurately captures transverse shear effects in thick plates. The governing equations are systematically derived using Hamilton’s principle and result in a system of five coupled nonlinear partial differential equations. These equations are analytically solved using Navier’s method, assuming simply supported boundary conditions along all four edges of the plate. The study explores the influence of key parameters including graphene distribution patterns, nanosheet geometry (thickness and width), the plate's thickness-to-length ratio, and the effects of geometric nonlinearity on the critical buckling load. To validate the analytical model, numerical results are compared with findings reported in the literature, demonstrating excellent agreement. The results highlight the significant reinforcement potential of GNSs in enhancing structural stability. Specifically, the inclusion of a small graphene content only 0.5% by mass can lead to a dramatic increase in the buckling load, nearly tripling it. These findings underscore the effectiveness of GNSs as nanofillers for improving the mechanical performance of composite structures under compressive loads, making them promising candidates for advanced engineering applications. https://www.tmachineintelligence.ir/article_181412_bfeb001eb5a0b3162d945f1b9cdcb912.pdf