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

Author name : Adam Zakria Adam Sidig
Publication Date : 2024-12-03
Journal Name : AIMS Mathematics

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

Keywords

Gibson-Thompson equation; relaxation parameter; thermoelasticity with voids; solid cylinder; Laplace transform

Publication Link

https://www.aimspress.com/article/doi/10.3934/math.20241647

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