Mechanics of Metric Frustration in Contorted Filament Bundles: From Local Symmetry to Columnar Elasticity
Mechanics of Metric Frustration in Contorted Filament Bundles: From Local Symmetry to Columnar Elasticity
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DOI：
10.1103/physrevlett.127.218002
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发表时间：
2021-11-18
影响因子：
8.6
通讯作者：
Grason, Gregory M.
中科院分区：
文献类型：
--
作者：
Atkinson, Daria W.;Santangelo, Christian D.;Grason, Gregory M.
细丝束会受到几何挫败的影响：某些变形（例如，扭曲时弯曲）需要细丝之间的间距发生纵向变化。虽然束很常见（从蛋白质纤维到纱线），但纵向受挫的机械后果尚不清楚。我们利用沿着细丝主干的蠕动下的规范对称性，推导了束力学的几何非线性形式。我们将力平衡与方向几何联系起来，并评估扭曲环形束中受挫的弹性成本。
Bundles of filaments are subject to geometric frustration: certain deformations (e.g., bending while twisted) require longitudinal variations in spacing between filaments. While bundles are common-from protein fibers to yarns-the mechanical consequences of longitudinal frustration are unknown. We derive a geometrically nonlinear formalism for bundle mechanics, using a gaugelike symmetry under reptations along filament backbones. We relate force balance to orientational geometry and assess the elastic cost of frustration in twisted-toroidal bundles.