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Analysis of the Bio-Thermoelasticity Response of Biological Tissues Subjected to Harmonic Heating Using a Refined Green–Lindsay Model | ||
| Journal of Computational Applied Mechanics | ||
| دوره 54، شماره 4، اسفند 2023، صفحه 588-606 اصل مقاله (1.59 M) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2023.366508.889 | ||
| نویسندگان | ||
| Ashraf M. Zenkour* 1، 2؛ Tariq Saeed3؛ Khadijah M. Alnefaie1، 4 | ||
| 1Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia | ||
| 2Department of Mathematics, Faculty of Science, Kafrelsheikh University, Kafrelsheikh 33516, Egypt | ||
| 3Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia | ||
| 4Department of Mathematics, Faculty of Science and Arts in Almakhwah, Albaha University, Almakhwah 65311, Saudi Arabia | ||
| چکیده | ||
| This study focuses on the analysis of the bio-thermoelasticity response exhibited by biological tissues when their inner and outer surfaces are free from stress and exposing the outer surface of the skin to harmonic heating with heatlessness of the inner surface of the skin. The investigation employs a refined Green–Lindsay model for a comprehensive understanding of the phenomenon. A system of partial differential equations is written and the solution is obtained using the Laplace transform and numerical inverse Laplace. The current model's results for temperature, displacement, stress, and strain distributions are presented, and it is compared to various (coupled and uncoupled) models from previous literature. The relaxation times effect on the model with other models is clarified, the effect of time, and some vital parameters are also studied, and tabularly to illustrate the effect of blood perfusion on the four distributions. | ||
| کلیدواژهها | ||
| Bio-thermoelasticity؛ classical coupled theory؛ Lord– Shulman theory؛ refined Green– Lindsay؛ Pennes' model؛ thermal wave theory؛ dual phase-lag theory؛ harmonic heating | ||
| مراجع | ||
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