Advances in materials Research

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The effects of thermal relaxation times in thermo-viscoelastic tissues during hyperthermia treatment

  • Ibrahim A. Abbas (Department of mathematics, Faculty of Science, Sohag University) ;
  • Aboelnour N. Abdalla (Department of mathematics, Faculty of Science, Sohag University) ;
  • Abdelrahman A. Abbas (Department of mathematics, Faculty of Science, Sohag University)
  • Received : 2023.11.01
  • Accepted : 2024.02.29
  • Published : 2024.08.25
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Abstract

The paper is a study on the biothermoelastic analysis in viscoelastic biological tissues in the presence of thermal relaxation times. Using Laplace transforms and related methodologies, we explore how living tissue responds to an exponentially decaying pulse of heat flux at the boundary. The Laplace transformations are reversed using the numerical method. The Tzuo technique was used to measure the reversal. Temperature, displacement, and stress distributions are affected by single-phase and delay relaxation coefficients as well as volume rheological factors, are provided with numerical findings and graphically depicted. In addition, we carry out a parametric analysis to provide assistance in choosing the design variables that are the most successful, which finally results in an improvement in the accuracy of hyperthermia treatments.

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References

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