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

Peng Zhang , Jun Song , Tayebeh Mahmoudi

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.

Key Words

buckling analysis; FGM; high-order theory; nonuniform structures; numerical solution, porosity

Address

Peng Zhang — Faculty of Architecture and Civil Engineering, Huaiyin Institute of Technology, Huaian, Jiangsu 223001, China
Jun Song — 2)School of Civil Engineering, Shandong Jiaotong University, Jinan 250357, Shandong, China 3)China Communications Second Highway Survey, Design and Research Institute Co., Ltd, Wuhan 430050, Hubei, China 4)School of Civil and Hydraulic Engineering, Huazhong University of Science and Technology, Wuhan 430074, Hubei, China
Tayebeh Mahmoudi — Researcher, Hoonam Sanat Farnak, Engineering and technology company, Ilam, Iran

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