Mechanics of Metric Frustration in Contorted Filament Bundles: From Local Symmetry to Columnar Elasticity

Daria W. Atkinson, Christian D. Santangelo, Gregory M. Grason

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Article number218002
JournalPhysical Review Letters
Volume127
Issue number21
DOIs
StatePublished - Nov 19 2021

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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