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Axially loaded cylindrical shell made of graphene foam, the density of which may vary in the thickness direction

FROM:

Yunfei Liu and Yanqing Wang (Department of Mechanics, Northeastern University, Shenyang 110819, China),

“Size-dependent free vibration and buckling of three-dimensional graphene foam microshells based on modified couple stress theory”, Materials, Vol. 12, 279, 2019

ABSTRACT: In this research, the vibration and buckling of three‐dimensional graphene foam (3D‐GrF) microshells are investigated for the first time. In the microshells, three‐dimensional graphene foams can distribute uniformly or non‐uniformly through the thickness direction. Based on Love’s thin shell theory and the modified couple stress theory (MCST), size‐dependent governing equations and corresponding boundary conditions are established through Hamilton’s principle. Then, vibration and axial buckling of 3D‐GrF microshells are analyzed by employing the Navier method and Galerkin method. Results show that the graphene foam distribution type, size effect, the foam coefficient, the radius‐to‐thickness ratio, and the length‐to‐radius ratio play important roles in the mechanical characteristics of 3D‐GrF microshells.

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