Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Advances in Nano Research Volume 10, Number 5, May 2021 , pages 493-507 DOI: https://doi.org/10.12989/anr.2021.10.5.493 |
|
|
|
Buckling of porosity-dependent bi-directional FG nanotube using numerical method |
||
Haiquan Wang, Yousef Zandi, Morteza Gholizadeh and Alibek Issakhov
|
||
| 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. | ||
| Key Words | ||
| nonlocal strain gradient theory; buckling; Zhang-Fu's tube model; Timoshenko theory; two-dimensional functionally graded materials; nanotubes; higher-order theory | ||
| Address | ||
| Haiquan Wang: Chemistry and Chemical Engineering & Environmental College, Weifang University, Weifang 261061, Shandong, China Yousef Zandi and Morteza Gholizadeh: Department of Civil Engineering, Tabriz Branch, Islamic Azad University, Tabriz, Iran Alibek Issakhov: Al-Farabi Kazakh National University, Almaty, Kazakhstan/ Kazakh-British Technical University, Almaty, Kazakhstan | ||