A microstructural model of transversely isotropic, fibre-reinforced hydrogels

Fuente: arXiv
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Autori principali: Hennessy, Matthew G., Shearer, Tom, Moore, Axel C.
Natura: Preprint
Pubblicazione: 2025
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author Hennessy, Matthew G.
Shearer, Tom
Moore, Axel C.
author_facet Hennessy, Matthew G.
Shearer, Tom
Moore, Axel C.
contents Fibre-reinforced hydrogels are promising materials for biomedical applications due to their strength, toughness, and tunability. However, it remains unclear how to design fibre-reinforced hydrogels for use in specific applications due to the lack of a flexible modelling framework that can predict and hence optimise their behaviour. In this paper, we present a microstructural model for transversely isotropic fibre-reinforced hydrogels that captures the specific geometry of the fibre network. The model also accounts for slack in the initial fibre network that is gradually removed upon deformation. The mechanical model for the fibre network is coupled to a nonlinear poroelastic model for the hydrogel matrix that accounts for osmotic stress. By comparing the model predictions to data from unconfined compression experiments, we show that the model can capture J-shaped stress-strain curves and time-dependent creep responses. We showcase how the model can be used to guide the design of materials for artificial cartilage by exploring how to maximise interstitial fluid pressure. We find that fluid pressurisation can be increased by using stiffer fibres, removing slack from the fibre network, and reducing the Young's modulus of the hydrogel matrix. Finally, a high-level and open-source Python package has been developed for simulating unconfined compression experiments using the model.
format Preprint
id arxiv_https___arxiv_org_abs_2503_04485
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle A microstructural model of transversely isotropic, fibre-reinforced hydrogels
Hennessy, Matthew G.
Shearer, Tom
Moore, Axel C.
Soft Condensed Matter
Fibre-reinforced hydrogels are promising materials for biomedical applications due to their strength, toughness, and tunability. However, it remains unclear how to design fibre-reinforced hydrogels for use in specific applications due to the lack of a flexible modelling framework that can predict and hence optimise their behaviour. In this paper, we present a microstructural model for transversely isotropic fibre-reinforced hydrogels that captures the specific geometry of the fibre network. The model also accounts for slack in the initial fibre network that is gradually removed upon deformation. The mechanical model for the fibre network is coupled to a nonlinear poroelastic model for the hydrogel matrix that accounts for osmotic stress. By comparing the model predictions to data from unconfined compression experiments, we show that the model can capture J-shaped stress-strain curves and time-dependent creep responses. We showcase how the model can be used to guide the design of materials for artificial cartilage by exploring how to maximise interstitial fluid pressure. We find that fluid pressurisation can be increased by using stiffer fibres, removing slack from the fibre network, and reducing the Young's modulus of the hydrogel matrix. Finally, a high-level and open-source Python package has been developed for simulating unconfined compression experiments using the model.
title A microstructural model of transversely isotropic, fibre-reinforced hydrogels
topic Soft Condensed Matter
url https://arxiv.org/abs/2503.04485