An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity
The current work is devoted to introduce a novel thermoelastic heat conduction model where the Moore-Gibson-Thompson (MGT) equation describes the heat equation. The constructed model is characterized by allowing limited velocities of heat wave propagation within the material, consistent with physica...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-11-01
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| Series: | Open Physics |
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| Online Access: | https://doi.org/10.1515/phys-2022-0143 |
| _version_ | 1797987714803433472 |
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| author | Abouelregal Ahmed E. Ahmad Hijaz Yavuz Mehmet Nofal Taher A. Alsulami M. D. |
| author_facet | Abouelregal Ahmed E. Ahmad Hijaz Yavuz Mehmet Nofal Taher A. Alsulami M. D. |
| author_sort | Abouelregal Ahmed E. |
| collection | DOAJ |
| description | The current work is devoted to introduce a novel thermoelastic heat conduction model where the Moore-Gibson-Thompson (MGT) equation describes the heat equation. The constructed model is characterized by allowing limited velocities of heat wave propagation within the material, consistent with physical phenomena. The Green–Naghdi Type III model is improved by introducing the delay factor into the modified Fourier law. Also, from the presented model, some other models of thermoelasticity can be derived at specific states. Based on the suggested model, an infinite orthotropic material with a cylindrical hole exposed to time-dependent temperature variation was studied. It has also been considered that the coefficient of thermal conductivity varies with temperature, unlike in many other cases where this value is considered constant. The viscoelastic material of the investigated medium was assumed to be of the Kelvin–Voigt type. The Laplace transform method provides general solutions to the studied field variables equations. The effects of viscosity and thermal variability parameters on these fields are discussed and graphically presented. In addition, the numerical results were presented in tables, and a comparison with previous models was made to ensure the accuracy of the results of the proposed model. |
| first_indexed | 2024-04-11T07:52:23Z |
| format | Article |
| id | doaj.art-15d21621ce4a4b83bca0a1b847d5d34b |
| institution | Directory Open Access Journal |
| issn | 2391-5471 |
| language | English |
| last_indexed | 2024-04-11T07:52:23Z |
| publishDate | 2022-11-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Open Physics |
| spelling | doaj.art-15d21621ce4a4b83bca0a1b847d5d34b2022-12-22T04:36:03ZengDe GruyterOpen Physics2391-54712022-11-012011127114110.1515/phys-2022-0143An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticityAbouelregal Ahmed E.0Ahmad Hijaz1Yavuz Mehmet2Nofal Taher A.3Alsulami M. D.4Department of Mathematics, College of Science and Arts, Jouf University, Al-Qurayat, Saudi ArabiaSection of Mathematics, International Telematic University Uninettuno, Corso Vittorio Emanuele II, 39, 00186 Roma, ItalyDepartment of Mathematics and Computer Sciences, Faculty of Science, Necmettin Erbakan University, 42090 Konya, TurkeyDepartment of Mathematics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi ArabiaDepartment of Mathematics, College of Sciences and Arts at Alkamil, University of Jeddah, Jeddah, Saudi ArabiaThe current work is devoted to introduce a novel thermoelastic heat conduction model where the Moore-Gibson-Thompson (MGT) equation describes the heat equation. The constructed model is characterized by allowing limited velocities of heat wave propagation within the material, consistent with physical phenomena. The Green–Naghdi Type III model is improved by introducing the delay factor into the modified Fourier law. Also, from the presented model, some other models of thermoelasticity can be derived at specific states. Based on the suggested model, an infinite orthotropic material with a cylindrical hole exposed to time-dependent temperature variation was studied. It has also been considered that the coefficient of thermal conductivity varies with temperature, unlike in many other cases where this value is considered constant. The viscoelastic material of the investigated medium was assumed to be of the Kelvin–Voigt type. The Laplace transform method provides general solutions to the studied field variables equations. The effects of viscosity and thermal variability parameters on these fields are discussed and graphically presented. In addition, the numerical results were presented in tables, and a comparison with previous models was made to ensure the accuracy of the results of the proposed model.https://doi.org/10.1515/phys-2022-0143thermo-viscoelasticityorthotropic materialcylindrical cavityvariable thermal conductivitymgt heat equation |
| spellingShingle | Abouelregal Ahmed E. Ahmad Hijaz Yavuz Mehmet Nofal Taher A. Alsulami M. D. An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity Open Physics thermo-viscoelasticity orthotropic material cylindrical cavity variable thermal conductivity mgt heat equation |
| title | An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity |
| title_full | An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity |
| title_fullStr | An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity |
| title_full_unstemmed | An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity |
| title_short | An orthotropic thermo-viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via MGT thermoelasticity |
| title_sort | orthotropic thermo viscoelastic infinite medium with a cylindrical cavity of temperature dependent properties via mgt thermoelasticity |
| topic | thermo-viscoelasticity orthotropic material cylindrical cavity variable thermal conductivity mgt heat equation |
| url | https://doi.org/10.1515/phys-2022-0143 |
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