TY - JOUR
T1 - Mechanics of Metric Frustration in Contorted Filament Bundles
T2 - From Local Symmetry to Columnar Elasticity
AU - Atkinson, Daria W.
AU - Santangelo, Christian D.
AU - Grason, Gregory M.
N1 - Publisher Copyright:
© 2021 American Physical Society.
PY - 2021/11/19
Y1 - 2021/11/19
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.127.218002
DO - 10.1103/PhysRevLett.127.218002
M3 - Article
C2 - 34860079
AN - SCOPUS:85120008003
SN - 0031-9007
VL - 127
JO - Physical Review Letters
JF - Physical Review Letters
IS - 21
M1 - 218002
ER -