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

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