Superlinear frictional sliding strength in clove-hitch and capstan filament-cylinder contacts arises from the coupled increase of normal force and contact arclength during tightening, as captured by elastica theory and confirmed by multi-material experiments and simulations.
Hertz, The contact of elastic solids, J Reine Angew, Math 92 (1881) 156–171
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Frictional sliding strength of knotted and capstan configurations along the axis of a cylinder
Superlinear frictional sliding strength in clove-hitch and capstan filament-cylinder contacts arises from the coupled increase of normal force and contact arclength during tightening, as captured by elastica theory and confirmed by multi-material experiments and simulations.