Steel and Composite Structures

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Static analysis of 2D-FG nonlocal porous tube using gradient strain theory and based on the first and higher-order beam theory

  • Xiaozhong Zhang (Department of International Applied Technology, Yibin University) ;
  • Jianfeng Li (Faculty of Engineering, China University of Geosciences (Wuhan)) ;
  • Yan Cui (School of Civil Engineering, Hebei Polytechnic Institute) ;
  • Mostafa Habibi (Faculty of Architecture and Urbanism, UTE University) ;
  • H. Elhosiny Ali (Department of Physics, Faculty of Science, King Khalid University) ;
  • Ibrahim Albaijan (Mechanical Engineering Department, College of Engineering at Al Kharj, Prince Sattam Bin Abdulaziz University) ;
  • Tayebeh Mahmoudi (Hoonam Sanat Farnak Engineering and Technology Company)
  • Received : 2021.01.18
  • Accepted : 2023.09.24
  • Published : 2023.11.10
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Abstract

This article focuses on the study of the buckling behavior of two-dimensional functionally graded (2D-FG) nanosize tubes, including porosity, based on the first shear deformation and higher-order theory of the tube. The nano-scale tube is simulated using 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 a 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. A parametric study is performed to investigate the effects of different parameters, such as axial and radial FG power indices, porosity parameter, and nonlocal gradient strain parameters, on the buckling behavior of the bi-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.

Keywords

Acknowledgement

This work was supported by the project of "Research on coupled vibration dynamic response of bridge structure under the action of flood peak of Yangtze River" (Yibin University, grand number: 2020qh02).

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