Thermoelastic interactions in functionally graded materials without energy dissipation
This study addresses the problem of thermoelastic interaction in functionally graded isotropic unbounded media owing to a timed pulse within the framework of generalized thermoelastic theory without energy dissipation (TEWOED). Functionally graded material (FGM, or material with spatially variable m...
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| Format: | Article |
| Language: | English |
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De Gruyter
2025-02-01
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| Series: | Curved and Layered Structures |
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| Online Access: | https://doi.org/10.1515/cls-2024-0023 |
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| author | Alqahtani Zuhur Abbas Ibrahim El-Bary Alaa A. Almuneef Areej |
| author_facet | Alqahtani Zuhur Abbas Ibrahim El-Bary Alaa A. Almuneef Areej |
| author_sort | Alqahtani Zuhur |
| collection | DOAJ |
| description | This study addresses the problem of thermoelastic interaction in functionally graded isotropic unbounded media owing to a timed pulse within the framework of generalized thermoelastic theory without energy dissipation (TEWOED). Functionally graded material (FGM, or material with spatially variable material characteristics) has its governing equations for the generalized thermoelastic model without energy dissipation (GNII) developed. These formulations are expressed in terms of Laplace transforms. The analytical solutions in the transform’s domain are obtained through the eigenvalues technique. The Laplace transforms are inversed using numerical methods. Finally, the acquired data are visually illustrated to illustrate how inhomogeneity, laser intensity, and laser pulse length affect displacement, temperature, and stress. |
| format | Article |
| id | doaj-art-5b8795feba8140e8991fb15aba74bd81 |
| institution | DOAJ |
| issn | 2353-7396 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Curved and Layered Structures |
| spelling | doaj-art-5b8795feba8140e8991fb15aba74bd812025-08-20T02:45:08ZengDe GruyterCurved and Layered Structures2353-73962025-02-011211719410.1515/cls-2024-0023Thermoelastic interactions in functionally graded materials without energy dissipationAlqahtani Zuhur0Abbas Ibrahim1El-Bary Alaa A.2Almuneef Areej3Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi ArabiaMathematics Department, Faculty of Science, Sohag University, Sohag, EgyptInstitute of Basic and Applied Science, Arab Academy for Science, Technology and Maritime Transport, Alexandria, EgyptDepartment of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671, Saudi ArabiaThis study addresses the problem of thermoelastic interaction in functionally graded isotropic unbounded media owing to a timed pulse within the framework of generalized thermoelastic theory without energy dissipation (TEWOED). Functionally graded material (FGM, or material with spatially variable material characteristics) has its governing equations for the generalized thermoelastic model without energy dissipation (GNII) developed. These formulations are expressed in terms of Laplace transforms. The analytical solutions in the transform’s domain are obtained through the eigenvalues technique. The Laplace transforms are inversed using numerical methods. Finally, the acquired data are visually illustrated to illustrate how inhomogeneity, laser intensity, and laser pulse length affect displacement, temperature, and stress.https://doi.org/10.1515/cls-2024-0023functionally graded materialeigenvalues approachlaplace transformlaser pulse lengthwithout energy dissipation |
| spellingShingle | Alqahtani Zuhur Abbas Ibrahim El-Bary Alaa A. Almuneef Areej Thermoelastic interactions in functionally graded materials without energy dissipation Curved and Layered Structures functionally graded material eigenvalues approach laplace transform laser pulse length without energy dissipation |
| title | Thermoelastic interactions in functionally graded materials without energy dissipation |
| title_full | Thermoelastic interactions in functionally graded materials without energy dissipation |
| title_fullStr | Thermoelastic interactions in functionally graded materials without energy dissipation |
| title_full_unstemmed | Thermoelastic interactions in functionally graded materials without energy dissipation |
| title_short | Thermoelastic interactions in functionally graded materials without energy dissipation |
| title_sort | thermoelastic interactions in functionally graded materials without energy dissipation |
| topic | functionally graded material eigenvalues approach laplace transform laser pulse length without energy dissipation |
| url | https://doi.org/10.1515/cls-2024-0023 |
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