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Abstract This paper proposed a new meshless model to solve the buckling behavior problem of functionally graded graphene-reinforced composite (FG-GRC) plates. The model is based on an improved Reddy-type third-order shear deformation theory (TSDT) with seven degrees of freedom and a moving Kriging (MK) interpolation method, which can avoid the problem of difficult implementation of the second type boundary conditions in meshless methods and eliminate the need for artificial introduction of shear correction factors. The model is applicable to thin/medium/thick plate problems and has high computational accuracy. The Halpin-Tsai model is used to predict the effective Young's modulus of the FG-GRC plate, and the effective Poisson's ratio are determined by the mixture law. The meshless govern equation for buckling of the FG-GRC plate with seven unknowns are derived based on the principle of minimum potential energy. The convergence and effectiveness of the proposed method are verified by comparing with literature results. The numerical results show that the critical buckling load of the epoxy pure plate is smaller than that of the FG-GRC plate, and increases with the weight fraction of graphene platelets (gGPL). The reinforcement effects of the three GPL distribution patterns are in the order of FG-X > UD > FG-O. When the total number of layers (NL) of the FG-GRC plate is less than 10-15, the critical buckling load of the FG-O and FG-X type plates changes more drastically than that of the epoxy pure plate, indicating that the stiffness of the graphene-reinforced plate decreases (or increases) rapidly compared to the epoxy pure plate in this stage. When NL > 10-15, the change rate of the critical buckling load of the FG-GRC plate becomes smoother. The critical buckling load of the FG-GRC plate increases sharply when the length-thickness ratio of the GPLs reaches around 1000. When the length-thickness ratio of GPLs exceeds 2000, the critical buckling load of the FG-GRC plate tends to be stable, and the length-width ratio and length-thickness ratio of the GPLs have no significant effect on the critical buckling load of the FG-GRC plate.
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Received: 28 August 2023
Published: 11 April 2024
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2024, Vol. 45 
