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Research Article | Open Access

Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model

Ahmed Yahya M.H( )Anouar SaidiAhmed E. AbouelregalAdam ZakriaIbrahim-Elkhalil AhmedF. A. Mohammed
Department of Mathematics, College of Science, Jouf University, Saudi Arabia
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Abstract

This research aims to investigate the behaviour of thermoelastic vibrations in a solid cylinder with voids using the Moore-Gibson-Thompson heat conduction equation, which is a newly developed method for studying heat transfer in elastic materials. The Moore-Gibson-Thompson heat conduction model allows for a more accurate understanding of the thermoelastic vibrations in solid cylinders with voids. The results of this study can provide valuable insights for designing structures with better thermal stability and vibration resistance. The Laplace transform method is used. The numerical results show that the size of the voids has a clear physical effect on the studied variables. In fact, the presence of a large number of small pores reduces the variable values. Additionally, the variation of waves is slightly smaller in the case of an elastic cylinder for the investigated model.

CLC number: 74-10, 74B05, 74F05, 74H15

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AIMS Mathematics
Pages 34588-34605

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Cite this article:
M.H AY, Saidi A, Abouelregal AE, et al. Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model. AIMS Mathematics, 2024, 9(12): 34588-34605. https://doi.org/10.3934/math.20241647

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Received: 24 September 2024
Revised: 24 November 2024
Accepted: 03 December 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)