Buckling Load of Axially Functionally Graded Tapered Nanocomposite Beams Reinforced by Graphene
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Abstract
This paper investigates the buckling load of axially functionally graded tapered nanocomposite beams reinforced with graphene, using the finite element method. The distribution patterns of graphene platelets (GPLs) are uniform and non-uniform along the axial direction of nanocomposite beams. Young’s modulus and effective mass density of axially functionally graded graphene reinforced nanocomposite (AFG-GPLRC) beams are calculated using the Halpin-Tsai micromechanics model and the rule of mixture, respectively. The governing equation of AFG-GPLRC beams is derived based on the Euler-Bernoulli beam theory. Once the proposed finite element method is validated, the buckling load of nanocomposite beams under various boundary conditions is studied. Numerical results indicate that varying the cross-sectional area and the distribution pattern of graphene significantly influences the buckling load of tapered nanocomposite beams.
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