Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model
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 allo...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241647 |
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| author | Ahmed Yahya M.H Anouar Saidi Ahmed E. Abouelregal Adam Zakria Ibrahim-Elkhalil Ahmed F. A. Mohammed |
| author_facet | Ahmed Yahya M.H Anouar Saidi Ahmed E. Abouelregal Adam Zakria Ibrahim-Elkhalil Ahmed F. A. Mohammed |
| author_sort | Ahmed Yahya M.H |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-3a101c29caca40b4b261bce4cc4fb5be |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-3a101c29caca40b4b261bce4cc4fb5be2025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912345883460510.3934/math.20241647Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction modelAhmed Yahya M.H0Anouar Saidi1Ahmed E. Abouelregal2Adam Zakria3Ibrahim-Elkhalil Ahmed4F. A. Mohammed5Department of Mathematics, College of Science, Jouf University, Saudi ArabiaDepartment of Mathematics, College of Science, Jouf University, Saudi ArabiaDepartment of Mathematics, College of Science, Jouf University, Saudi ArabiaDepartment of Mathematics, College of Science, Jouf University, Saudi ArabiaDepartment of Mathematics, College of Science, Jouf University, Saudi ArabiaDepartment of Mathematics, College of Science, Jouf University, Saudi ArabiaThis 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.https://www.aimspress.com/article/doi/10.3934/math.20241647moore-gibson-thompson equationrelaxation parameterthermoelasticity with voidssolid cylinderlaplace transform |
| spellingShingle | 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 AIMS Mathematics moore-gibson-thompson equation relaxation parameter thermoelasticity with voids solid cylinder laplace transform |
| title | Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model |
| title_full | Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model |
| title_fullStr | Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model |
| title_full_unstemmed | Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model |
| title_short | Thermoelastic vibrations for solid cylinder with voids, using Moore-Gibson-Thompson heat conduction model |
| title_sort | thermoelastic vibrations for solid cylinder with voids using moore gibson thompson heat conduction model |
| topic | moore-gibson-thompson equation relaxation parameter thermoelasticity with voids solid cylinder laplace transform |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241647 |
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