Advances in nano research

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Buckling of porosity-dependent bi-directional FG nanotube using numerical method

  • Wang, Haiquan (Chemistry and Chemical Engineering & Environmental College, Weifang University) ;
  • Zandi, Yousef (Department of Civil Engineering, Tabriz Branch, Islamic Azad University) ;
  • Gholizadeh, Morteza (Department of Civil Engineering, Tabriz Branch, Islamic Azad University) ;
  • Issakhov, Alibek (Al-Farabi Kazakh National University)
  • Received : 2021.01.30
  • Accepted : 2021.04.21
  • Published : 2021.05.25
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Abstract

This article focused on studying the buckling behavior of two-dimensional functionally graded (2D-FG) nanosize tubes, including porosity based on first shear deformation and higher-order theory of tube. The nano-scale tube is simulated based on the nonlocal gradient strain theory, and the general equations and boundary conditions are derived using Hamilton's principle for the Zhang-Fu's tube model (as higher-order theory) and Timoshenko beam theory. Finally, the derived equations are solved using a numerical method for both simply-supported and clamped boundary conditions. The parametric study is performed to study the effects of different parameters such as axial and radial FG power indexes, porosity parameter, nonlocal gradient strain parameters on the buckling behavior of di-dimensional functionally graded porous tube.

Keywords

References

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