论文标题
半灵性聚合物和纤维网络的非伴随变形
Non-affine deformation of semiflexible polymer and fiber networks
论文作者
论文摘要
已知在剪切时已知半灵或刚性聚合物（例如大多数生物聚合物）的网络不均匀。这种非伴随变形的作用已显示出比柔性聚合物强得多。迄今为止，我们对此类系统中非亲和力的理解仅限于仿真或特定的2D模型。在这里，我们提出了一种有效的培养基理论（EMT），用于半串联聚合物和纤维网络的非伴随变形，这对2D和3D以及热和无限限都是一般的。该模型的预测与线性弹性的先前计算结果和实验结果都非常吻合。此外，我们引入的框架可以扩展以解决非线性弹性和网络动态。
Networks of semiflexible or stiff polymers such as most biopolymers are known to deform inhomogeneously when sheared. The effects of such non-affine deformation have been shown to be much stronger than for flexible polymers. To date, our understanding of non-affinity in such systems is limited to simulations or specific 2D models of athermal fibers. Here, we present an effective medium theory (EMT) for non-affine deformation of semiflexible polymer and fiber networks, which is general to both 2D and 3D and in both thermal and athermal limits. The predictions of this model are in good agreement with both prior computational and experimental results for linear elasticity. Moreover, the framework we introduce can be extended to address nonlinear elasticity and network dynamics.
