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Biomechanical Characterization of Human Soft Tissues Using Indentation and Tensile Testing
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Generalized thermomechanical interaction in two-dimensional skin tissue using eigenvalues approach.

Ibrahim A Abbas1, Alaa A El-Bary2, Adil O Y Mohamed3

  • 1Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt.

Journal of Thermal Biology
|December 27, 2023
PubMed
Summary
This summary is machine-generated.

This study analyzes skin tissue

Keywords:
Analytical solutionsLaplace- fourier transformationsNumerical programmingThermal relaxation timeThermomechanical interactionsTwo-dimensional skin tissue

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Area of Science:

  • Biomedical Engineering
  • Thermal Analysis
  • Continuum Mechanics

Background:

  • Understanding thermo-mechanical responses in skin is crucial for thermal therapies.
  • Accurate modeling is needed to avoid unrealistic predictions in heat transfer and mechanical effects.
  • Existing models like Pennes' may yield unrealistic outcomes in certain conditions.

Purpose of the Study:

  • To analytically investigate the thermo-mechanical behavior of 2D skin tissues under instantaneous heating.
  • To apply Laplace and Fourier transformations for analyzing heat transfer and thermal-mechanical effects.
  • To model human tissues undergoing regional hyperthermia for cancer therapy.

Main Methods:

  • Analytical study of two-dimensional skin tissue.
  • Application of Laplace and Fourier integral transformations.
  • Numerical inversion using the Stehfest method for transform inversion.

Main Results:

  • Blood perfusion rate and thermal relaxation time significantly impact thermo-mechanical distributions.
  • Thermo-mechanical waves propagate finite distances within the skin tissue.
  • The model provides a more realistic prediction compared to the Pennes' model.

Conclusions:

  • The study provides a refined analytical model for skin's thermo-mechanical response to heating.
  • Findings highlight the importance of blood perfusion and thermal relaxation time in thermal therapy.
  • The developed model mitigates unrealistic predictions associated with simpler heat transfer models.