▎ 摘　　要

This paper studies bending, buckling and vibration of three-dimensional graphene foam (3D-GrF) beams in the framework of the sinusoidal shear deformation theory. Graphene foams can distribute along the thickness of beams in different patterns. The material properties of three-dimensional graphene foams are described by the scaling laws of open-cell foams. Based on Hamilton's principle, the governing equations together with boundary conditions are derived. Then, Navier's method and Rayleigh-Ritz method are used to calculate natural frequencies, critical buckling loads and center deflections of the 3D-GrF beams. Results show that the graphene foam distribution, the foam coefficient and the slenderness ratio have significant effect on buckling, bending and vibration behaviors of 3D-GrF beams. In addition, the present results are verified by the comparison with published ones in the literature.