 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13205 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8140
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| In English (Mech. Solids): | | 5065 |
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| Areej Almuneef, Ibrahim Abbas, Alaa A. El-Bary, and Zuhur Alqahtani, "The Nonlocal Effects on Thermal Damage in Living Tissue Due to an Intense Moving Heat Source," Mech. Solids. 60 (2), 1105-1116 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
1105-1116 |
| DOI |
10.1134/S0025654425600217 |
| Title |
The Nonlocal Effects on Thermal Damage in Living Tissue Due to an Intense Moving Heat Source |
| Author(s) |
Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671 Saudi Arabia, aaalmuneef@pnu.edu.sa)
Ibrahim Abbas (Mathematics Department, Faculty of Science, Sohag University, Sohag, Egypt, ibrabbas7@science.sohag.edu.eg)
Alaa A. El-Bary (Institute of Basic and Applied Science, Arab Academy for Science, Technology and Maritime Transport, Alexandria, Egypt, aaelbary@aast.edu)
Zuhur Alqahtani (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, P.O. Box 84428, Riyadh, 11671 Saudi Arabia, zumalqahtani@pnu.edu.sa) |
| Abstract |
This paper presents an analytical solution to the nonlocal bioheat equation under the influence of an intense moving heating source. The solution is derived in the Laplace transform domain,
and thermal injury to biological tissue is quantified using the Arrhenius equation to assess protein
denaturation. When the nonlocal parameter and thermal relaxation time are zero, the study shows that
the nonlocal bioheat model converges with the parabolic bioheat model. Numerical simulations illustrate temperature distributions and thermal damage profiles with nonlocal impacts, highlighting the
impact of heat source speed on living tissue temperature and thermal damage. These findings provide
a foundation for validating practical applications such as scanning laser treatments and numerical solution methodologies. |
| Keywords |
nonlocal thermoelastic model, Laplace transforms, living tissue, thermal damages |
| Received |
18 January 2025 | Revised |
19 February 2025 | Accepted |
20 February 2025 |
| Link to Fulltext |
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