Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
 Founded
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IssuesArchive of Issues2024-5pp.2960-2974

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Zuhur Alqahtani, Ibrahim Abbas, Alaa A. El-Bary, and Areej Almuneef, "A Study on Bio-Thermal and Mechanical Interactions in Cylindrical Tissues with Experimental Data," Mech. Solids. 59 (5), 2960-2974 (2024)
Year 2024 Volume 59 Number 5 Pages 2960-2974
DOI 10.1134/S0025654424604750
Title A Study on Bio-Thermal and Mechanical Interactions in Cylindrical Tissues with Experimental Data
Author(s) Zuhur Alqahtani (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, zumalqahtani@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)
Areej Almuneef (Department of Mathematical Sciences, College of Science, Princess Nourah bint Abdulrahman University, Riyadh, 11671 Saudi Arabia, aaalmuneef@pnu.edu.sa)
Abstract This work presents a method for numerically determining the thermal damages of cylindrical living tissue due to laser irradiation utilizing a hyperbolic bioheat model. To assess thermal injuries to the tissues, the Arrhenius relation must be used to assess the amount of denatured protein. Because the governing formulations are complicated, the finite element approach is used to solve this kind of problem. Moreover, the correctness of the numerical solution is confirmed by contrasting the numerical outcome of the finite element technique with recent experimental data. Explanatory graphics of the numerical results exhibit the increment in displacement, temperature, thermal damages and the stresses in responses to changes in the duration of laser exposure, the intensity of laser and blood perfusion rate. Additionally, the numerical outcome and the available experimental data are compared, showing that the present mathematical model is a useful tool for evaluating bio-heat transport in cylindrical human tissue.
Keywords finite element approach, hyperbolic biothermoelastic model, laser irradiation, cylindrical living tissue, thermal damages
Received 23 July 2024Revised 22 September 2024Accepted 08 October 2024
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