A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives
The inclusion of memory-dependent derivatives (MDD) in constitutive models improves the ability to predict and analyze time-dependent responses of materials, providing a more detailed depiction of their mechanical properties and structural changes. In this paper, a new thermoelasticity model is crea...
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| Format: | Article |
| Language: | English |
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Elsevier
2024-11-01
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| Series: | Case Studies in Thermal Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X24013224 |
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| author | Ahmed E. Abouelregal Marin Marin Abdelaziz Foul Sameh S. Askar |
| author_facet | Ahmed E. Abouelregal Marin Marin Abdelaziz Foul Sameh S. Askar |
| author_sort | Ahmed E. Abouelregal |
| collection | DOAJ |
| description | The inclusion of memory-dependent derivatives (MDD) in constitutive models improves the ability to predict and analyze time-dependent responses of materials, providing a more detailed depiction of their mechanical properties and structural changes. In this paper, a new thermoelasticity model is created that combines the Moore-Gibson-Thompson (MGT) equation with higher-order memory-dependent derivatives (MDD), any optional kernel function, and time delay. The objective of this model is to provide a more accurate mathematical depiction of the thermal and mechanical reactions of materials, particularly those that exhibit complex behaviors over time. A theoretical study was conducted to provide additional clarification of the proposed concept. For this purpose, thermal-mechanical waves were studied in a semi-infinite region, surrounded by a magnetic field, and exposed to a direct heat source uniformly distributed on its outer surface. To solve the coupled partial differential equations governing the system, the Laplace transform methodology was used. The effects of different kernel functions, time delays, and higher-order (HO) derivatives on the behavior of thermoelastic materials are discussed and illustrated using figures and tables. |
| format | Article |
| id | doaj-art-d762c82f3d3f497787797dcfba80a555 |
| institution | OA Journals |
| issn | 2214-157X |
| language | English |
| publishDate | 2024-11-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj-art-d762c82f3d3f497787797dcfba80a5552025-08-20T02:14:45ZengElsevierCase Studies in Thermal Engineering2214-157X2024-11-016310529110.1016/j.csite.2024.105291A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivativesAhmed E. Abouelregal0Marin Marin1Abdelaziz Foul2Sameh S. Askar3Department of Mathematics, Faculty of Science, Mansoura University, Mansoura, 35516, Egypt; Corresponding author.Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036, Brasov, Romania; Academy of Romanian Scientists, Bucharest, Romania; Corresponding author. Department of Mathematics and Computer Science, Transilvania University of Brasov, 500036, Brasov, Romania.Department of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi ArabiaDepartment of Statistics and Operations Research, College of Science, King Saud University, P.O. Box 2455, Riyadh, 11451, Saudi ArabiaThe inclusion of memory-dependent derivatives (MDD) in constitutive models improves the ability to predict and analyze time-dependent responses of materials, providing a more detailed depiction of their mechanical properties and structural changes. In this paper, a new thermoelasticity model is created that combines the Moore-Gibson-Thompson (MGT) equation with higher-order memory-dependent derivatives (MDD), any optional kernel function, and time delay. The objective of this model is to provide a more accurate mathematical depiction of the thermal and mechanical reactions of materials, particularly those that exhibit complex behaviors over time. A theoretical study was conducted to provide additional clarification of the proposed concept. For this purpose, thermal-mechanical waves were studied in a semi-infinite region, surrounded by a magnetic field, and exposed to a direct heat source uniformly distributed on its outer surface. To solve the coupled partial differential equations governing the system, the Laplace transform methodology was used. The effects of different kernel functions, time delays, and higher-order (HO) derivatives on the behavior of thermoelastic materials are discussed and illustrated using figures and tables.http://www.sciencedirect.com/science/article/pii/S2214157X24013224MGT thermoelasticityMD derivativesHigher-orderSemi-spaceTime delay |
| spellingShingle | Ahmed E. Abouelregal Marin Marin Abdelaziz Foul Sameh S. Askar A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives Case Studies in Thermal Engineering MGT thermoelasticity MD derivatives Higher-order Semi-space Time delay |
| title | A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives |
| title_full | A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives |
| title_fullStr | A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives |
| title_full_unstemmed | A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives |
| title_short | A generalized refined Moore–Gibson–Thompson thermoelastic model based on the concept of memory-dependent higher-order derivatives |
| title_sort | generalized refined moore gibson thompson thermoelastic model based on the concept of memory dependent higher order derivatives |
| topic | MGT thermoelasticity MD derivatives Higher-order Semi-space Time delay |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X24013224 |
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