Elastic knots

B. Audoly; N. Clauvelin; S. Neukirch

doi:10.1103/PhysRevLett.99.164301

Elastic knots

B. Audoly
, N. Clauvelin
, S. Neukirch

Institut Jean Le Rond d'Alembert

Résultats de recherche: Contribution à un journal › Article › Revue par des pairs

Résumé

We study the mechanical response of elastic rods bent into open knots, focusing on the case of trefoil and cinquefoil topologies. The limit of a weak applied tensile force is studied both analytically and experimentally: the Kirchhoff equations with self-contact are solved by means of matched asymptotic expansions; predictions on both the geometrical and mechanical properties of the elastic equilibrium are compared to experiments. The extension of the theory to tight knots is discussed.

langue originale	Anglais
Numéro d'article	164301
journal	Physical Review Letters
Volume	99
Numéro de publication	16
Les DOIs	https://doi.org/10.1103/PhysRevLett.99.164301
état	Publié - 19 oct. 2007
Modification externe	Oui

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10.1103/PhysRevLett.99.164301

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title = "Elastic knots",

abstract = "We study the mechanical response of elastic rods bent into open knots, focusing on the case of trefoil and cinquefoil topologies. The limit of a weak applied tensile force is studied both analytically and experimentally: the Kirchhoff equations with self-contact are solved by means of matched asymptotic expansions; predictions on both the geometrical and mechanical properties of the elastic equilibrium are compared to experiments. The extension of the theory to tight knots is discussed.",

author = "B. Audoly and N. Clauvelin and S. Neukirch",

year = "2007",

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AU - Clauvelin, N.

AU - Neukirch, S.

PY - 2007/10/19

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AB - We study the mechanical response of elastic rods bent into open knots, focusing on the case of trefoil and cinquefoil topologies. The limit of a weak applied tensile force is studied both analytically and experimentally: the Kirchhoff equations with self-contact are solved by means of matched asymptotic expansions; predictions on both the geometrical and mechanical properties of the elastic equilibrium are compared to experiments. The extension of the theory to tight knots is discussed.

U2 - 10.1103/PhysRevLett.99.164301

DO - 10.1103/PhysRevLett.99.164301

M3 - Article

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SN - 0031-9007

VL - 99

JO - Physical Review Letters

JF - Physical Review Letters

IS - 16

M1 - 164301

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Elastic knots

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