横观各向同性纤维增强水凝胶的微观结构模型
A microstructural model of transversely isotropic, fibre-reinforced hydrogels
AI总结：
该研究提出一种考虑纤维网络几何与初始松弛、耦合水凝胶基体非线性多孔弹性的横观各向同性纤维增强水凝胶微观结构模型，可匹配实验力学响应，指导人工软骨材料设计，并配套开发了开源模拟Python包。
摘要：
纤维增强水凝胶凭借其强度、韧性和可调性，是生物医学应用中极具前景的材料。然而，由于缺乏能够预测并优化其性能的灵活建模框架，目前仍不清楚如何针对特定应用设计纤维增强水凝胶。本文提出了一种横观各向同性纤维增强水凝胶的微观结构模型，该模型能够捕捉纤维网络的特定几何结构，同时还考虑了初始纤维网络中的松弛（slack），这类松弛会在变形过程中逐渐消除。纤维网络的力学模型与考虑渗透压的水凝胶基体非线性多孔弹性模型相耦合。通过将模型预测结果与无侧限压缩实验数据对比，我们发现该模型能够捕捉J形应力-应变曲线和随时间变化的蠕变响应。我们通过探究如何最大化间质流体压力，展示了该模型如何用于指导人工软骨材料的设计。研究发现，使用更硬的纤维、消除纤维网络的松弛以及降低水凝胶基体的杨氏模量，都可以提高流体增压效果。最后，我们开发了一个高层级的开源Python包，用于使用该模型模拟无侧限压缩实验。
英文摘要：
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.
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