Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model
This paper aims to modify the generalized thermoelasticity theory of Lord–Shulman. Higher-order time-derivative terms are incorporated to get accurate field variables. The refined theory is employed to examine the inclusion of a magnetic field, a two-temperature parameter, and the viscoelastic effec...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Elsevier
2023-09-01
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| Series: | Case Studies in Thermal Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X23005038 |
| _version_ | 1797729904708550656 |
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| author | Maryam H. Aljadani Ashraf M. Zenkour |
| author_facet | Maryam H. Aljadani Ashraf M. Zenkour |
| author_sort | Maryam H. Aljadani |
| collection | DOAJ |
| description | This paper aims to modify the generalized thermoelasticity theory of Lord–Shulman. Higher-order time-derivative terms are incorporated to get accurate field variables. The refined theory is employed to examine the inclusion of a magnetic field, a two-temperature parameter, and the viscoelastic effects on a thermoelastic medium with two temperatures. The problem has been solved analytically and numerical data have been obtained by utilizing the normal mode technique. The analytic expressions of the displacements, stresses, dilatation, thermodynamic and conductive temperatures are outlined and investigated. The outcomes are reported for future comparison, and some are presented graphically in 2D and 3D plots. Comparisons with the existing literature due to the classical coupled and simple Lord–Shulman thermoviscoelasticity theories are made. The effects of many parameters are discussed. |
| first_indexed | 2024-03-12T11:36:20Z |
| format | Article |
| id | doaj.art-50b7001b9c174c45971c9afcb9de3230 |
| institution | Directory Open Access Journal |
| issn | 2214-157X |
| language | English |
| last_indexed | 2024-03-12T11:36:20Z |
| publishDate | 2023-09-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj.art-50b7001b9c174c45971c9afcb9de32302023-09-01T05:01:21ZengElsevierCase Studies in Thermal Engineering2214-157X2023-09-0149103197Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman modelMaryam H. Aljadani0Ashraf M. Zenkour1Department of Mathematics, Jamoum University Collage, Umm Al-Qura University, Makkah, 21421, Saudi Arabia; Corresponding author.Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia; Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh, 33516, EgyptThis paper aims to modify the generalized thermoelasticity theory of Lord–Shulman. Higher-order time-derivative terms are incorporated to get accurate field variables. The refined theory is employed to examine the inclusion of a magnetic field, a two-temperature parameter, and the viscoelastic effects on a thermoelastic medium with two temperatures. The problem has been solved analytically and numerical data have been obtained by utilizing the normal mode technique. The analytic expressions of the displacements, stresses, dilatation, thermodynamic and conductive temperatures are outlined and investigated. The outcomes are reported for future comparison, and some are presented graphically in 2D and 3D plots. Comparisons with the existing literature due to the classical coupled and simple Lord–Shulman thermoviscoelasticity theories are made. The effects of many parameters are discussed.http://www.sciencedirect.com/science/article/pii/S2214157X23005038ViscoelasticConductive and thermodynamic temperaturesNormal modeRefined Lord–Shulman theory |
| spellingShingle | Maryam H. Aljadani Ashraf M. Zenkour Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model Case Studies in Thermal Engineering Viscoelastic Conductive and thermodynamic temperatures Normal mode Refined Lord–Shulman theory |
| title | Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model |
| title_full | Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model |
| title_fullStr | Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model |
| title_full_unstemmed | Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model |
| title_short | Effect of magnetic field on a thermoviscoelastic body via a refined two-temperature Lord–Shulman model |
| title_sort | effect of magnetic field on a thermoviscoelastic body via a refined two temperature lord shulman model |
| topic | Viscoelastic Conductive and thermodynamic temperatures Normal mode Refined Lord–Shulman theory |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X23005038 |
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