Techno Press

Steel and Composite Structures   Volume 23, Number 3, February28 2017, pages 339-350
Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams
O. Rahmani, V. Refaeinejad and S.A.H. Hosseini

Abstract     [Full Text]
    In this paper, various nonlocal higher-order shear deformation beam theories that consider the size dependent effects in Functionally Graded Material (FGM) beam are examined. The presented theories fulfill the zero traction boundary conditions on the top and bottom surface of the beam and a shear correction factor is not required. Hamilton's principle is used to derive equation of motion as well as related boundary condition. The Navier solution is applied to solve the simply supported boundary conditions and exact formulas are proposed for the bending and static buckling. A parametric study is also included to investigate the effect of gradient index, length scale parameter and length-to-thickness ratio (aspect ratio) on the bending and the static buckling characteristics of FG nanobeams.
Key Words
    analytical solution; bending; buckling; functionally graded materials; higher order beam theory; nonlocal elasticity
Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan, Zanjan, Iran.

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