Functionally Graded Graphene Nanoplatelet Reinforced Composite Nonlinear Beams

Abstract

In this study, nonlinear bending behavior of functionally graded graphene nanoplatelet reinforced composite beams is analyzed using Touratier’s higher-order shear deformation theory. Nonlinear equilibrium equations and boundary conditions are derived from the minimum potential energy principle and numerically solved. Equilibrium equations are valid for any beam theory. Equilibrium equations of other beam theories can be easily obtained by changing the f(z) function in these equations. The bending, vibration, and buckling of beams can be easily studied by other theories using the given equilibrium equations and boundary conditions. The graphs of all the unknowns of the problem were presented along the length of the beam. In addition, polynomials fitted to the dimensionless numerical results obtained were given.

Keywords

• Functionally graded material
• Graphene nanoplatelet
• Composite beam
• Touratier theory
• Nonlinear bending
• Energy method

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