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http://dx.doi.org/10.12989/anr.2021.10.5.493

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)
Publication Information
Advances in nano research / v.10, no.5, 2021 , pp. 493-507 More about this Journal
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
nonlocal strain gradient theory; buckling; Zhang-Fu's tube model; Timoshenko theory; two-dimensional functionally graded materials; nanotubes; higher-order theory;
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