Mechanics of Metric Frustration in Contorted Filament Bundles: From Local Symmetry to Columnar Elasticity,Physical Review Letters

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Mechanics of Metric Frustration in Contorted Filament Bundles: From Local Symmetry to Columnar Elasticity
Physical Review Letters ( IF 8.1 ) Pub Date : 2021-11-18 , DOI: 10.1103/physrevlett.127.218002
Daria W Atkinson ₁ , Christian D Santangelo ₂ , Gregory M Grason ₃

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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.

中文翻译：

扭曲长丝束的度量挫折力学：从局部对称到柱状弹性

细丝束受到几何挫折：某些变形（例如，扭曲时弯曲）需要细丝之间的间距纵向变化。虽然束很常见——从蛋白质纤维到纱线——纵向受挫的机械后果是未知的。我们得出一个几何非线性形式主义的捆绑机制，利用下gaugelike对称reptations沿长丝骨干。我们将力平衡与定向几何联系起来，并评估扭曲环形束中受挫的弹性成本。

更新日期：2021-11-18

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