On the wave propagation characteristics of functionally graded porous shells using high-order shear deformation theory

issue 14(1)2024
Published Feb 26, 2024
https://doi.org/10.46223/HCMCOUJS.acs.en.14.1.40.2024
Date
Received: 2023-08-05
Accepted: 2023-12-15
Published: 2024-02-26
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14(1)2024
Saeed I. Tahir
King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
Ismail M. Mudhaffar
King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
Abdelouahed Tounsi - tou_abdel@yahoo.com
King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
Lebanese American University, Byblos, Lebanon
https://orcid.org/0000-0002-5601-3228
Mohammed A. Al-Osta
King Fahd University of Petroleum & Minerals, Dhahran, Saudi Arabia
Abdelbaki Chikh
University of Sidi Bel Abbes, Algérie
Université Ibn Khaldoun, Algérie

Abstract

This paper concentrates on the wave propagation characteristics of Functionally Graded (FG) porous shells. The transversal shear deformation of the shell is taken into consideration by employing a simple higher-ordered shear deformation shell theory. The equations of motion are derived for the proposed model based on Hamilton’s principle. An eigenvalue problem that relates the wave propagation elements is formulated and solved to present the various dispersion relations of FG cylindrical and spherical shells. The effects of porosities, shells’ geometrical parameters, FG material exponent, and wavenumbers on the principal wave propagation frequency and the associated phase velocity are investigated in detail. The research reveals that the phase velocities of waves traversing through shells are predominantly influenced by the porosity and the thickness and gradation of the constituent materials, whereas the geometric configuration of the shells, whether cylindrical or spherical, exerts a negligible impact.

Keywords

FGM shell; HSDT; porosity; wave propagation

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

How to Cite
Tahir, S. I., Mudhaffar, I. M., Tounsi, A., Al-Osta, M. A., & Chikh, A. (2024). On the wave propagation characteristics of functionally graded porous shells using high-order shear deformation theory. HCMCOU Journal of Science - Advances in Computational Structures, 14(1), 62–80. https://doi.org/10.46223/HCMCOUJS.acs.en.14.1.40.2024
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