轴向预应力下纤维网络的弹性
Elasticity of fibrous networks under axial prestress
摘要：
我们目前的理论和实验研究的纤维网络的弹性响应进行单轴应变。使用具有自由水流入/流出的剪切流变仪将单轴压缩或拉伸施加到纤维蛋白和胶原蛋白的细胞外网络。测量了轴向应力和网络剪切模量。先前的工作[van Oosten等人，Scientific Reports，2015，6，19270]已经显示了这些网络在压缩/拉伸下的软化/硬化，以及对剪切的非线性响应，但是这种行为的起源仍然知之甚少。在这里，我们研究单轴应变如何影响纤维网络的非线性力学。使用可弯曲和可拉伸纤维的计算网络模型，我们表明，软化/硬化行为可以理解为固定的横向边界在2D和3D网络与实验细胞外网络的平均连通性相当。此外，我们表明，发病的硬化强烈依赖于所施加的单轴应变。我们的研究突出了轴向应变和边界条件在确定水凝胶的机械响应的重要性。
英文摘要：
We present theoretical and experimental studies of the elastic response of fibrous networks subjected to uniaxial strain. Uniaxial compression or extension is applied to extracellular networks of fibrin and collagen using a shear rheometer with free water in/outflow. Both axial stress and the network shear modulus are measured. Prior work [van Oosten et al., Scientific Reports, 2015, 6, 19270] has shown softening/stiffening of these networks under compression/extension, together with a nonlinear response to shear, but the origin of such behaviour remains poorly understood. Here, we study how uniaxial strain influences the nonlinear mechanics of fibrous networks. Using a computational network model with bendable and stretchable fibres, we show that the softening/stiffening behaviour can be understood for fixed lateral boundaries in 2D and 3D networks with comparable average connectivities to the experimental extracellular networks. Moreover, we show that the onset of stiffening depends strongly on the imposed uniaxial strain. Our study highlights the importance of both axial strain and boundary conditions in determining the mechanical response of hydrogels.
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