Structural Engineering and Mechanics

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A shooting method for buckling and post-buckling analyses of FGSP circular plates considering various patterns of Pores' placement

  • Khaled, Alhaifi (Department of Automotive and Marine Engineering, College of Technological Studies-PAAET) ;
  • Ahmad Reza, Khorshidvand (Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University) ;
  • Murtadha M., Al-Masoudy (Air Conditioning and Refrigeration Technique Engineering Department, Al-Mustaqbal University College) ;
  • Ehsan, Arshid (Department of Solid Mechanics, Faculty of Mechanical Engineering, University of Kashan) ;
  • Seyed Hossein, Madani (Department of Mechanical Engineering, South Tehran Branch, Islamic Azad University)
  • Received : 2022.10.16
  • Accepted : 2023.01.13
  • Published : 2023.02.10
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Abstract

This paper studies the effects of porosity distributions on buckling and post-buckling behaviors of a functionally graded saturated porous (FGSP) circular plate. The plate is under the uniformly distributed radial loading and simply supported and clamped boundary conditions. Pores are saturated with compressible fluid (e.g., gases) that cannot escape from the porous solid. Elastic modulus is assumed to vary continuously through the thickness according to three different functions corresponding to three different cases of porosity distributions, including monotonous, symmetric, and asymmetric cases. Governing equations are derived utilizing the classical plate theory and Sanders nonlinear strain-displacement relations, and they are solved numerically via shooting method. Results are verified with the known results in the literature. The obtained results for the monotonous and symmetric cases with the asymmetric case presented in the literature are shown in comparative figures. Effects of the poroelastic material parameters, boundary conditions, and thickness change on the post-buckling behavior of the plate are discussed in details. The results reveal that buckling and post-buckling behaviors of the plate in the monotonous and symmetric cases differ from the asymmetric case, especially in small deflections, that asymmetric distribution of elastic moduli can be the cause.

Keywords

Acknowledgement

The third author extend his appreciation to the Al-Mustaqbal University college for supporting this work under Grant Number MUC-E-0122.

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