Generalized thermoelastic interactions in porous asphaltic material under fractional time derivative
This study investigates generalized thermoelastic interaction in porous asphaltic materials subjected to thermal loading, using fractional model with time-delay effects. The framework incorporates the Riemann-Liouville fractional derivative to account for memory-dependent heat conduction, extending...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-08-01
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| Series: | Case Studies in Thermal Engineering |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2214157X25005647 |
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| author | Ibrahim Abbas Aboelnour Abdalla Areej Almuneef Alaa A. El-Bary |
| author_facet | Ibrahim Abbas Aboelnour Abdalla Areej Almuneef Alaa A. El-Bary |
| author_sort | Ibrahim Abbas |
| collection | DOAJ |
| description | This study investigates generalized thermoelastic interaction in porous asphaltic materials subjected to thermal loading, using fractional model with time-delay effects. The framework incorporates the Riemann-Liouville fractional derivative to account for memory-dependent heat conduction, extending classical thermoelasticity into a more accurate and comprehensive domain. The Lord–Shulman model with one relaxation time is adopted to describe the coupling between mechanical and thermal responses. The governing equations are solved using Laplace transform and the eigenvalues approach, and the Stehfest algorithm is employed for numerical inversion. A detailed analysis is presented for temperature distribution, displacement, and stress fields in both solid and liquid phases of the porous medium under traction-free and thermally loaded boundary conditions. The numerical calculations show how the different sets of fractional parameters have impacted the temperature, stress, and displacement in the solid and liquid phases. Eventually, the visual representation of the data illustrates the distinctions between the fractional poro-thermoelasticity and classical coupled thermoelasticity formulations. |
| format | Article |
| id | doaj-art-002f29dd5aa2421e8eea6b231e6adb68 |
| institution | Kabale University |
| issn | 2214-157X |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Case Studies in Thermal Engineering |
| spelling | doaj-art-002f29dd5aa2421e8eea6b231e6adb682025-08-20T03:49:46ZengElsevierCase Studies in Thermal Engineering2214-157X2025-08-017210630410.1016/j.csite.2025.106304Generalized thermoelastic interactions in porous asphaltic material under fractional time derivativeIbrahim Abbas0Aboelnour Abdalla1Areej Almuneef2Alaa A. El-Bary3Mathematics Department, Faculty of Science, Sohag University, Egypt; Corresponding author.Mathematics Department, Faculty of Science, Sohag University, EgyptDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi ArabiaBasic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, EgyptThis study investigates generalized thermoelastic interaction in porous asphaltic materials subjected to thermal loading, using fractional model with time-delay effects. The framework incorporates the Riemann-Liouville fractional derivative to account for memory-dependent heat conduction, extending classical thermoelasticity into a more accurate and comprehensive domain. The Lord–Shulman model with one relaxation time is adopted to describe the coupling between mechanical and thermal responses. The governing equations are solved using Laplace transform and the eigenvalues approach, and the Stehfest algorithm is employed for numerical inversion. A detailed analysis is presented for temperature distribution, displacement, and stress fields in both solid and liquid phases of the porous medium under traction-free and thermally loaded boundary conditions. The numerical calculations show how the different sets of fractional parameters have impacted the temperature, stress, and displacement in the solid and liquid phases. Eventually, the visual representation of the data illustrates the distinctions between the fractional poro-thermoelasticity and classical coupled thermoelasticity formulations.http://www.sciencedirect.com/science/article/pii/S2214157X25005647Porous asphaltic materialThermal delay timesEigenvalues approachFractional time derivativesLaplace transform |
| spellingShingle | Ibrahim Abbas Aboelnour Abdalla Areej Almuneef Alaa A. El-Bary Generalized thermoelastic interactions in porous asphaltic material under fractional time derivative Case Studies in Thermal Engineering Porous asphaltic material Thermal delay times Eigenvalues approach Fractional time derivatives Laplace transform |
| title | Generalized thermoelastic interactions in porous asphaltic material under fractional time derivative |
| title_full | Generalized thermoelastic interactions in porous asphaltic material under fractional time derivative |
| title_fullStr | Generalized thermoelastic interactions in porous asphaltic material under fractional time derivative |
| title_full_unstemmed | Generalized thermoelastic interactions in porous asphaltic material under fractional time derivative |
| title_short | Generalized thermoelastic interactions in porous asphaltic material under fractional time derivative |
| title_sort | generalized thermoelastic interactions in porous asphaltic material under fractional time derivative |
| topic | Porous asphaltic material Thermal delay times Eigenvalues approach Fractional time derivatives Laplace transform |
| url | http://www.sciencedirect.com/science/article/pii/S2214157X25005647 |
| work_keys_str_mv | AT ibrahimabbas generalizedthermoelasticinteractionsinporousasphalticmaterialunderfractionaltimederivative AT aboelnourabdalla generalizedthermoelasticinteractionsinporousasphalticmaterialunderfractionaltimederivative AT areejalmuneef generalizedthermoelasticinteractionsinporousasphalticmaterialunderfractionaltimederivative AT alaaaelbary generalizedthermoelasticinteractionsinporousasphalticmaterialunderfractionaltimederivative |