Steel and Composite Structures

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Simulation and modeling for stability analysis of functionally graded non-uniform pipes with porosity-dependent properties

  • Peng Zhang (Faculty of Architecture and Civil Engineering, Huaiyin Institute of Technology) ;
  • Jun Song (School of Civil Engineering, Shandong Jiaotong University) ;
  • Tayebeh Mahmoudi (Hoonam Sanat Farnak, Engineering and technology company)
  • Received : 2021.02.01
  • Accepted : 2023.05.11
  • Published : 2023.07.25
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Abstract

The present paper examines the stability analysis of the buckling differentiae of the small-scale, non-uniform porosity-dependent functionally graded (PD-FG) tube. The high-order beam theory and nonlocal strain gradient theory are operated for the mathematical modeling of nanotubes based on the Hamilton principle. In this paper, the external radius function is non-uniform. In contrast, the internal radius is uniform, and the cross-section changes along the tube length due to these radius functions based on the four types of useful mathematical functions. The PD-FG material distributions are varied in the radial direction and made with ceramics and metals. The governing partial differential equations (PDEs) and associated boundary conditions are solved via a numerical method for different boundary conditions. The received outcomes concerning different presented parameters are valuable to the design and production of small-scale devices and intelligent structures.

Keywords

Acknowledgement

The National Natural Science Foundation of China (11902123), the Jiangsu Natural Science Foundation (BK20181061), the Huai Shang Ying Cai Project (Peng Zhang). This work was supported by Natural Science Foundation of Shandong Province (ZR2021ME134), the Doctoral Program of Shandong Jiaotong University (Jun Song).

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