Nonaffine Deformation of Semiflexible Polymer and Fiber Networks

Nonaffine Deformation of Semiflexible Polymer and Fiber Networks
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DOI:
10.1103/physrevlett.130.088101
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发表时间:
2023-02-24
影响因子:
8.6
通讯作者:
MacKintosh, Fred C.
MacKintosh, Fred C.
中科院分区:
物理与天体物理1区
文献类型:
--
作者:
Chen, Sihan;Markovich, Tomer;MacKintosh, Fred C.

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半柔性或刚性聚合物的网络,如大多数生物聚合物,已知在剪切时变形不均匀。这种非仿射变形的影响已被证明比柔性聚合物强得多。迄今为止,我们对此类系统的非亲和性的理解仅限于模拟或特定的非热纤维二维模型。在这里,我们提出了一种有效的介质理论,用于半柔性聚合物和纤维网络的非仿射变形,该理论适用于二维和三维以及热和非热极限。该模型的预测结果与已有的线性弹性计算和实验结果吻合较好。此外,我们引入的框架可以扩展到处理非线性弹性和网络动力学。
Networks of semiflexible or stiff polymers such as most biopolymers are known to deform inhomogeneously when sheared. The effects of such nonaffine deformation have been shown to be much stronger than for flexible polymers. To date, our understanding of nonaffinity in such systems is limited to simulations or specific 2D models of athermal fibers. Here, we present an effective medium theory for nonaffine 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.