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Steel and Composite Structures
  Volume 38, Number 3, February10 2021 , pages 293-304

On snap-buckling of FG-CNTR curved nanobeams considering surface effects
Yuan Yuan Zhang, Yu X. Wang, Xin Zhang, Huo M. Shen and Gui-Lin She

    The aim of this paper is to analyze the nonlinear bending of functionally graded (FG) curved nanobeams reinforced by carbon nanotubes (CNTs) in thermal environment. Chen-Yao' s surface elastic theory and geometric nonlinearity are also considered. The nanobeams are subjected to uniform loadings and placed on three-parameter substrates. The Euler-Lagrange equations are employed to deduce the equations of equilibrium. Then, the asymptotic solutions and boundary value problems are analytically determined by utilizing the two-step perturbation technique. Finally, the effects of the surface parameters, geometric factors, foundation stiffness, volume fraction, thermal effects and layout type of CNTs on the nonlinear bending of the nanobeams are discussed.
Key Words
    curved nanobeams; snap-bucking; surface energy density; carbon nanotube-reinforced nanocomposites; thermal effects
Yuan Yuan Zhang, Yu X. Wang and Huo M. Shen: School of Mechanics and Engineering, Southwest Jiaotong University, China
Xin Zhang:Department of Mechanical Engineering, Northwestern University, USA
Gui-Lin She: School of mechanical engineering, Chongqing University, Chongqing 400044, China

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