论文标题
纤维网络的力学在大量应变下
Mechanics of fiber networks under a bulk strain
论文作者
论文摘要
生物聚合物网络在从单个细胞的细胞骨架到细胞外基质中的胶原蛋白的生物系统中很常见。在某些情况下，可以通过从软状态过渡到施加的菌株下的这些系统的力学。对于胶原蛋白网络，已经表明，这种过渡本质上至关重要，预计将在关键菌株附近表现出不同的波动，该菌株取决于网络的连通性和结构。虽然先前的工作主要集中在实验上更容易访问的剪切变形上，但在这里我们研究了在应用的散装或各向同性扩展下此类网络的机制。我们确认，亚置纤维网络的大容量模量表现出与散装菌株的函数相似的临界行为。我们发现散装而不是剪切的不同非均值指数。我们还证实了与先前发现的剪切相似的超级缩放关系。
Biopolymer networks are common in biological systems from the cytoskeleton of individual cells to collagen in the extracellular matrix. The mechanics of these systems under applied strain can be explained in some cases by a phase transition from soft to rigid states. For collagen networks, it has been shown that this transition is critical in nature and it is predicted to exhibit diverging fluctuations near a critical strain that depends on the network's connectivity and structure. Whereas prior work focused mostly on shear deformation that is more accessible experimentally, here we study the mechanics of such networks under an applied bulk or isotropic extension. We confirm that the bulk modulus of subisostatic fiber networks exhibits similar critical behavior as a function of bulk strain. We find different non-mean-field exponents for bulk as opposed to shear. We also confirm a similar hyperscaling relation to what previously found for shear.
