 | | 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: | | 13088 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8125
|
| In English (Mech. Solids): | | 4963 |
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| << Previous article | Volume 60, Issue 1 / 2025 | Next article >> |
| Aatef Hobiny and Ibrahim Abbas, "Thermoelastic Responses of Living Tissues with and without Energy Dispassion Using the Eigenvalue Approach," Mech. Solids. 60 (1), 352-364 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
1 |
Pages |
352-364 |
| DOI |
10.1134/S0025654424606542 |
| Title |
Thermoelastic Responses of Living Tissues with and without Energy Dispassion Using the Eigenvalue Approach |
| Author(s) |
Aatef Hobiny (Department of Mathematics, Faculty of Sci., King Abdulaziz University, Jeddah, Saudi Arabia, ahobany@kau.edu.saahobany@kau.edu.sa)
Ibrahim Abbas (Department of mathematics, Faculty of Sci., Sohag University, Sohag, Egypt, ibrabbas7@science.sohag.edu.eg) |
| Abstract |
This article investigates the thermoelastic responses of living tissues under thermal loading,
considering the Green and Naghdi theory with and without energy dissipation in hyperthermia treatment. A thorough understanding of the bioheat transfer mechanisms and associated thermomechanical interactions within living tissues is essential for effectively applying thermal treatment techniques.
The study models the surface of living tissues as free of traction and subjected to an exponentially
decaying pulsed boundary heat flux. The generalized Biothermoelastic model is analyzed using
Laplace transforms and eigenvalues approach to get the analytical solutions of governing equations.
The displacement, temperature, and stress results are presented graphically, followed by a parametric
study to determine optimal design parameters that can improve the accuracy and efficiency of thermal
therapy treatments. |
| Keywords |
Biothermoelastic model, Laplace transform, eigenvalues approach, living tissue |
| Received |
17 November 2024 | Revised |
05 January 2025 | Accepted |
06 January 2025 |
| Link to Fulltext |
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