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Tribology Letters
Erschienen in: Tribology Letters 2/2022

01.06.2022 | Invited Viewpoint

Ice Deformation Explains Curling Stone Trajectories

verfasst von: Mark Denny

Erschienen in: Tribology Letters | Ausgabe 2/2022

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Abstract

Friction forces explain why the velocity and angular velocity of a curling stone cease at the same time, but cannot explain why the curl distance is approximately independent of initial angular speed. Forces that can lead to this puzzling independence include asymmetric normal force, radial force, and center of mass drag force. The mechanisms that generate these forces depend upon asymmetries in the distribution of grit or ice fragments under the stone or upon the scratches made by the stone on the pebbled ice surface. Several current models of curling stone behavior are specific cases of the general mechanisms presented here; their applicability is discussed. Pebble wear influences curling behavior.
Vorheriger Artikel Enhancement of a Tribometer Device Dedicated to Quasi-Static Friction Conditions Under High Pressure
Nächster Artikel Derjaguin and the DMT Theory: A Farewell to DMT?

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Fußnoten
1
It is the case quite generally that a single force in a plane is equivalent to an equal force through an arbitrary point—here the CM—and a couple [19].
 
2
This number is from Lozowski et al (2015) and is equivalent to an area density of \(\sigma =3300-33,000~\text {m}^{-2}\). Ewasko (2017) places the optimum density at 6–8 pebbles in\(^{-2}\) or \(9300-12,400~\text {m}^{-2}\). Mielke (2015) and Minnaar (2007) both state that pebbling requires 3 liters of water per sheet of ice which for Extra Fine pebble size (see Table 1) is equivalent to 7600 pebbles \(\text {m}^{-2}\).
 
3
We have assumed that if the stone is raised by a protruding pebble, then that pebble supports half the stone weight.
 
4
Thus a conical protrusion of height and width \(\delta h\) will present a projected area of \(\frac{1}{2}\delta h^2\) to the ice. RB asperities are characterized by a width s that is much greater than depth d (see Nyberg et al. 2013) so that the projected area is \(\frac{1}{2}sd\). Thus for a protrusion that is a RB asperity \(\delta h=\sqrt{sd}\) is the median scratch width scale.
 
5
A recent paper suggesting that scratches caused by directional sweeping can influence stone transverse motion also supports the idea of a scratch mechanism origin of curling behavior [42].
 
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Metadaten
Titel
Ice Deformation Explains Curling Stone Trajectories
verfasst von
Mark Denny
Publikationsdatum
01.06.2022
Verlag
Springer US
Erschienen in
Tribology Letters / Ausgabe 2/2022
Print ISSN: 1023-8883
Elektronische ISSN: 1573-2711
DOI
https://doi.org/10.1007/s11249-022-01582-7

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