Analytical Response of Nonlinear Buckling of Composite Plates Reinforced with Graphene Nanosheets

Document Type : Original Article


1 Department of Mechanics, Technical and Engineering Faculty, Kar Higher Education Institute, Qazvin, Iran (Assistant Professor)

2 Department of Mechanics, Technical and Engineering Faculty, Imam Khomeini International University, Qazvin, Iran (Master's student)

3 Department of Mechanics, Technical and Engineering Faculty, Imam Khomeini International University, Qazvin, Iran (Master's student)

4 Department of Mechanics, Technical and Engineering Faculty, Imam Khomeini International University, Qazvin, Iran (Master's student).


This research delves into the nonlinear buckling behavior of a composite rectangular plate reinforced with graphene nanosheets, employing the third-order shear deformation principle. The equations governing this problem are derived through Hamilton's principle, and a precise analytical solution method is applied to ascertain the critical buckling load. These governing equations manifest as five coupled partial differential equations, and their analytical response involves a systematic series of mathematical operations. The subsequent resolution is achieved using Navier's technique, considering the boundary conditions of the four sides of the supported structure. The numerical results were scrutinized, validating them against prior studies, while various parameters such as graphene distribution, nanosheet thickness and width, thickness-to-length ratio, and nonlinear deformation effects were investigated. The incorporation of graphene reinforcement notably enhanced the buckling load, with a mere 0.5% increase in graphene mass leading to a threefold rise in the buckling load.


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