Document Type : Original Article
Authors
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).
Abstract
This study investigates the nonlinear buckling of a composite rectangular plate strengthened with graphene nanosheets using the third-order shear deformation principle. The equations governing the problem are obtained from Hamilton's principle, and the precise analytical solution method is employed to determine the critical buckling load and solve the equations. The governing equations consist of five coupled partial differential equations. The components are first divided in the analytical response through a sequence of mathematical operations.Afterward, Navier's technique for the boundary conditions of the four sides of the articulated support can be employed to solve the components. Finally, we examined the numerical results validated against previous research, investigating the impact of various parameters on buckling pressure, such as the amount and shape of graphene distribution, thickness, and width of graphene nanosheets, the ratio of sheet thickness to length, and non-linear deformation of the sheet. Technical abbreviations have been explained upon first use. Additionally, the inclusion of reinforcing graphene substantially increased the buckling load of the sheet. Notably, a 0.5% increase in graphene mass resulted in a threefold boost in buckling load.
Keywords
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