Steel and Composite Structures

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On snap-buckling of FG-CNTR curved nanobeams considering surface effects

  • Zhang, Yuan Yuan (School of Mechanics and Engineering, Southwest Jiaotong University) ;
  • Wang, Yu X. (School of Mechanics and Engineering, Southwest Jiaotong University) ;
  • Zhang, Xin (Department of Mechanical Engineering, Northwestern University) ;
  • Shen, Huo M. (School of Mechanics and Engineering, Southwest Jiaotong University) ;
  • She, Gui-Lin (School of mechanical engineering, Chongqing University)
  • Received : 2020.07.22
  • Accepted : 2020.10.18
  • Published : 2021.02.10
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Abstract

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.

Keywords

Acknowledgement

We are grateful to Professor Hongchen Miao of Southwest Jiaotong University for his valuable discussions and suggestions. This work was financially supported by the National Natural Science Foundation of China (Nos. 11672252 and 11502218).

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