[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.12989/scs.2017.23.3.339

Assessment of various nonlocal higher order theories for the bending and buckling behavior of functionally graded nanobeams

Rahmani, O. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Refaeinejad, V. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)
Hosseini, S.A.H. (Smart Structures and New Advanced Materials Laboratory, Department of Mechanical Engineering, University of Zanjan)

Publication Information

Steel and Composite Structures / v.23, no.3, 2017 , pp. 339-350 More about this Journal

Abstract

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.

Keywords

analytical solution; bending; buckling; functionally graded materials; higher order beam theory; nonlocal elasticity;

Citations & Related Records

Times Cited By KSCI : 3 (Citation Analysis)

Reference
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