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Viscoelastic Models of Tissues. Mathematical Background and Hysteresis Loops Cover

Viscoelastic Models of Tissues. Mathematical Background and Hysteresis Loops

Open Access
|Dec 2024

Abstract

Human, animal, and plant tissues are typically viscoelastic, meaning their mechanical response lies between purely viscous and purely elastic behaviour. These tissues exhibit both viscous and elastic properties, modeled using viscoelastic frameworks. The mechanical behaviour of viscoelastic materials is determined by the relationship between stress σ and strain ε, referred to as the constitutive equation. In viscoelastic models, both stress and strain are functions of time. These models are often constructed using parallel or serial combinations of elementary components: Hookean elastic elements (H)and Newtonian viscous elements (N). The configurations formed through these combinations yield specific geometric equations which, when combined with physical equations, determine the corresponding global constitutive relations.

This study presents an analysis and theoretical results related to an approximate viscoelastic model for aponeurosis, specifically represented by the Burgers model.

DOI: https://doi.org/10.2478/tmmp-2024-0024 | Journal eISSN: 1338-9750 | Journal ISSN: 12103195
Language: English
Page range: 171 - 188
Submitted on: Mar 25, 2024
Accepted on: Aug 18, 2024
Published on: Dec 6, 2024
Published by: Slovak Academy of Sciences, Mathematical Institute
In partnership with: Paradigm Publishing Services
Publication frequency: 3 issues per year

© 2024 Mária Minárová, Kataŕına Tvrdá, Soňa Zajícová, published by Slovak Academy of Sciences, Mathematical Institute
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.