Modeling of nonlinear viscoelasticity and stress softening in soft tissues
Résumé
This paper deals with the mechanical behavior of soft living tissues under load-unload and relaxation cyclic strains. It proposes a thermodynamic model formulated within the Generalized Standard Materials framework that incorporates both Mullins’ effect and viscoelasticity, integrating the history dependent behavior of the material under finite strain. A key innovation lies in the use of a common softening function to modulate both the hyperelastic and viscous components, capturing history-dependent behavior more accurately. Viscous parameters are adjusted based on the loading history via the maximum strain invariant. Numerical implementation is validated against uniaxial tensile tests on porcine perineal tissues and a global Sobol sensitivity analysis confirms that elastic, viscous, and Mullins-related parameters are identifiable from different phases of the loading protocol. This model provides a unified, thermodynamical consistent tool for simulating soft tissue mechanics.
Domaines
| Origine | Publication financée par une institution |
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Cite 10.5281/zenodo.15740736 Jeu de données Caro, A.-S., Chrysochoos, A., Iaquinta, S., & Chagnon, G. (2025). Accompanying data for the paper ‘Modeling of nonlinear viscoelasticity and stress softening in soft tissues’ [Data set]. Zenodo. https://doi.org/10.5281/ZENODO.15740736
The Python codes containing the routines to reproduce the results presented in this article, as well as the experimental data, are provided in the Zenodo repository https://doi.org/10.5281/zenodo.15740736
A comme version hal-05115169 Preprint A. S. Caro-Bretelle, André Chrysochoos, Sarah Iaquinta, Grégory Chagnon. Modeling of Nonlinear Viscoelasticity and Stress Softening in Soft Tissues. 2025. ⟨hal-05115169⟩