Analysis of the Bio-Thermoelasticity Response of Biological Tissues Subjected to Harmonic Heating Using a Refined Green–Lindsay Model

سال انتشار: 1402
نوع سند: مقاله ژورنالی
زبان: انگلیسی
مشاهده: 45

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شناسه ملی سند علمی:

JR_JCAM-54-4_008

تاریخ نمایه سازی: 11 دی 1402

چکیده مقاله:

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.

نویسندگان

Ashraf Zenkour

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah ۲۱۵۸۹, Saudi Arabia

Tariq Saeed

Financial Mathematics and Actuarial Science (FMAS)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah ۲۱۵۸۹, Saudi Arabia

Khadijah Alnefaie

Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah ۲۱۵۸۹, Saudi Arabia

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  • H. H. Pennes, Analysis of Tissue and Arterial Blood Temperatures ...
  • C. Cattaneo, A Form of Heat-Conduction Equations Which Eliminates the ...
  • P. Vernotte, Les paradoxes de la theorie continue de l'equation ...
  • D. Y. Tzou, The generalized lagging response in small-scale and ...
  • S. Wahyudi, F. Gapsari, Analysis of Temperature Distribution of Human ...
  • S. K R, I. Ramarao, D. P.A, BIOHEAT TRANSFER EQUATION ...
  • I. Kaur, P. Lata, K. S. Handa, Effects of Memory ...
  • M. B. Bera, M. Mondal, B. S. Mahapatra, G. Roymahapatra, ...
  • G. Oguntala, Y. Hu, G. Sobamowo, ۲۰۲۱, Computational Modelling of ...
  • I. Abbas, A. Abdalla, F. Anwar, H. Sapoor, A numerical ...
  • M. Paruch, B. Mochnacki, Cattaneo-Vernotte bio-heat transfer equation. Identificaton of ...
  • S. K. Sharma, D. Kumar, A Study on Non-Linear DPL ...
  • P. H. Ziaei, H. Moosavi, A. A. Moradi, Analysis of ...
  • M. Ezzat, Bio-thermo-mechanics behavior in living viscoelastic tissue under the ...
  • R. Kumar, R. Tiwari, A. Singhal, S. Mondal, Characterization of ...
  • Y. Hu, X. Zhang, X.-F. Li, Thermoelastic response of skin ...
  • J. Zhou, J. K. Chen, Y. Zhang, Dual-Phase Lag Effects ...
  • D. Kumar, S. Singh, K. Rai, Analysis of Classical Fourier, ...
  • R. Kumar, A. K. Vashisth, S. Ghangas, Analytical solution of ...
  • R. Fazlali, H. Ahmadikia, Analytical solution of thermal wave models ...
  • P. Forghani, H. Ahmadikia, A. Karimipour, Non-Fourier Boundary Conditions Effects ...
  • M. A. Biot, Thermoelasticity and irreversible thermodynamics, Journal of applied ...
  • H. W. Lord, Y. Shulman, A generalized dynamical theory of ...
  • A. E. Green, K. Lindsay, Thermoelasticity, Journal of elasticity, Vol. ...
  • A. Green, P. Naghdi, Thermoelasticity without energy dissipation, Journal of ...
  • A. Bagri, M. R. Eslami, Analysis of Thermoelastic Waves in ...
  • A. Pramanik, S. Biswas, ۲۰۲۰, Eigenvalue approach to hyperbolic thermoelastic ...
  • A. Kumar, O. N. Shivay, S. Mukhopadhyay, Infinite speed behavior ...
  • N. Sarkar, S. De, N. Sarkar, Modified Green–Lindsay model on ...
  • S. R. Choudhuri, On a thermoelastic three-phase-lag model, Journal of ...
  • A. Hobiny, F. Alzahrani, I. Abbas, Analytical Estimation of Temperature ...
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  • A. Zenkour, T. Saeed, A. Aati, Refined Dual-Phase-Lag Theory for ...
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  • M. Alizadeh, M. Choulaei, M. Roshanfar, J. Dargahi, Vibrational characteristic ...
  • D. Y. Tzou, Experimental support for the lagging behavior in ...
  • G. Honig, U. Hirdes, A method for the numerical inversion ...
  • Q. Zhang, Y. Sun, J. Yang, Bio-heat response of skin ...
  • T. Okabe, T. Fujimura, J. Okajima, S. Aiba, S. Maruyama, ...
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