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

Ahmed Yahya M.H; Anouar Saidi; Ahmed E. Abouelregal; Adam Zakria; Ibrahim-Elkhalil Ahmed; F. A. Mohammed; Ahmed Yahya M.H; Anouar Saidi; Ahmed E. Abouelregal; Adam Zakria; Ibrahim-Elkhalil Ahmed; F. A. Mohammed

doi:10.3934/math.20241647

AIMS Mathematics

2024, Volume 9, Issue 12: 34588-34605. doi: 10.3934/math.20241647

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

Department of Mathematics, College of Science, Jouf University, Saudi Arabia

Received: 24 September 2024 Revised: 24 November 2024 Accepted: 03 December 2024 Published: 10 December 2024
MSC : 74-10, 74B05, 74F05, 74H15

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.
- Moore-Gibson-Thompson equation,
- relaxation parameter,
- thermoelasticity with voids,
- solid cylinder,
- Laplace transform
Citation: Ahmed Yahya M.H, Anouar Saidi, Ahmed E. Abouelregal, Adam Zakria, Ibrahim-Elkhalil Ahmed, F. A. Mohammed. Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model[J]. AIMS Mathematics, 2024, 9(12): 34588-34605. doi: 10.3934/math.20241647

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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.

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