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A study on thermomechanical interactions in two-dimensional tissues without energy dissipation

Areej Almuneef, Ibrahim A. Abbas, Alaa A. El‐Bary

2025Case Studies in Thermal Engineering10 citationsDOIOpen Access PDF

Abstract

This work analyzes the thermomechanical responses of two-dimensional living tissue to immediate heating without energy dissipation. To effectively use thermal treatment methods and techniques, one must have a thorough comprehension of heat transport and the associated mechanical and thermal impacts on the biological tissue of the patient. An exponentially decaying pulse describes a heat flux across the half-space surface under a condition of zero traction with that boundary. The eigenvalue approaches are used to obtain analytical solutions with Fourier-Laplace transformations. The inversion processes for the Laplace and Fourier transforms are implemented using a numerical programming approach, specifically employing the Stehfest numerical inverse approach. The findings indicate that all the analyzed distributions have large sensitivities to pulsing heat flux time and blood perfusion rate.

Topics & Concepts

DissipationMaterials scienceEnergy (signal processing)Thermal management of electronic devices and systemsMechanicsComposite materialThermodynamicsMechanical engineeringPhysicsQuantum mechanicsEngineeringThermoelastic and Magnetoelastic PhenomenaAdvanced Thermodynamics and Statistical MechanicsElasticity and Material Modeling
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