The effects of thermo-mechanical behavior of living tissues under thermal loading without energy dispassion

Ibrahim Abbas, M. Saif AlDien, Mawahib Elamin and Alaa El-Bary

Abstract

This study seeks to develop analytical solutions for the biothermoelastic model without accounting for energy dissipation. These solutions are then applied to estimate the temperature changes induced by external heating sources by integrating relevant empirical data characterizing the biological tissue of interest. The distributions of temperature, displacement, and strain were obtained by utilizing the eigenvalues approach with the Laplace transforms and numerical inverse transforms method. The impacts of the rate of blood perfusion and the metabolic activity parameter on thermoelastic behaviors were discussed specifically. The temperature, displacement, and thermal strain results are visually represented through graphical representations.

Key Words

eigenvalues approach; Laplace transformations; thermal and mechanical interactions; tissue; without energy dissipation

Address

Ibrahim Abbas: Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt M. Saif AlDien: Department of Mathematics, Turabah University College, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia Mawahib Elamin: Department of Mathematics, College of Science and Arts Qassim University, Riyadh Alkhbra, Saudi Arabia Alaa El-Bary: Basic and Applied Science Institute, Arab Academy for Science, Technology and Maritime Transport, P.O. Box 1029, Alexandria, Egypt

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