Modeling the friction of ice

Abstract Friction of ice has been studied for over 150 years. Recently, the physics of ice friction have been reviewed and many new experimental results presented. Here, we present a theoretical model of kinetic ice friction. The model can be applied also on melting ice. Our results suggest that the regions of the friction mechanisms of ice are different from those discussed in the literature. They also imply that experimental data on ice friction are partly inadequate for detailed interpretation of the physics of ice friction, because frictional heating makes the ice temperature depend on the sliding velocity. We use the existing adequate experimental data on ice friction in verifying our model and find good agreement over a wide range of conditions.

[1]  Measuring stud and rubber friction on ice under laboratory conditions , 2012 .

[2]  B. Persson,et al.  Sliding Friction: Physical Principles and Applications , 1997 .

[3]  L. Makkonen On the Methods To Determine Surface Energies , 2000 .

[4]  Sergiy Sukhorukov,et al.  Friction of sea ice on sea ice , 2013 .

[5]  John F Nye,et al.  The kinetic friction of ice , 1976, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[6]  Katutosi Tusima,et al.  Friction of a Steel Ball on a Single Crystal of Ice , 1977, Journal of Glaciology.

[7]  Robert S. Pritchard,et al.  Sliding friction of sea ice blocks , 2012 .

[8]  V. F. Petrenko,et al.  Physics of Ice , 1999 .

[9]  M. Robbins,et al.  Origin of Stick-Slip Motion in Boundary Lubrication , 1990, Science.

[10]  S. Hatzikiriakos,et al.  Ice friction: The effects of surface roughness, structure, and hydrophobicity , 2009 .

[11]  E. Schulson,et al.  Static strengthening of frictional surfaces of ice , 2013 .

[12]  S. Kamalb,et al.  Nanopatterned Metallic Surfaces: Their Wettability and Impact on Ice Friction , 2011 .

[13]  F. P. Bowden,et al.  The mechanism of sliding on ice and snow , 1939 .

[14]  D. Szabó,et al.  Sliding friction of polyethylene on ice: tribometer measurements , 2006 .

[15]  M. Sprinkle,et al.  表面X線回折により決定した多層グラフェン/4H‐SiC(000-1)系の構造特性 , 2007 .

[16]  B A Marmo,et al.  Frictional heat generated by sweeping in curling and its effect on ice friction , 2006 .

[17]  E. Schulson,et al.  Friction of ice on ice , 2012 .

[18]  P. Slavíček,et al.  A Fully Size-Resolved Perspective on the Crystallization of Water Clusters , 2012, Science.

[19]  J. Blackford,et al.  Friction on ice: stick and slip. , 2012, Faraday discussions.

[20]  E. Schulson,et al.  Frictional sliding across Coulombic faults in first‐year sea ice: A comparison with freshwater ice , 2011 .

[21]  H. Kern,et al.  Untersuchung von Einflussfaktoren auf das tribologische Verhalten von Werkstoffen gegen Eis , 2004 .

[22]  T. Kuroda,et al.  Ellipsometric study of the transition layer on the surface of an ice crystal , 1987 .

[23]  L. Makkonen Ice Adhesion —Theory, Measurements and Countermeasures , 2012 .

[24]  Chuansi Gao,et al.  The effect of footwear sole abrasion on the coefficient of friction on melting and hard ice , 2003 .

[25]  T. Butkovich Hardness of single ice crystals , 1954 .

[26]  L. Makkonen A thermodynamic model of sliding friction , 2012 .

[27]  S. Hatzikiriakos,et al.  Ice friction: the effect of thermal conductivity , 2010, Journal of Glaciology.

[28]  F. E. Kennedy,et al.  The friction of ice on ice at low sliding velocities , 2000 .

[29]  Katsutoshi Tusima Adhesion Theory for Low Friction on Ice , 2011 .

[30]  Hideki Narita,et al.  Shear cell experiments of snow and ice friction , 1991 .

[32]  D. Tabor,et al.  Plastic Flow and Pressure Melting in the Deformation of Ice I , 1966, Nature.

[33]  Helmut Dosch,et al.  Glancing-angle X-ray scattering studies of the premelting of ice surfaces , 1995 .

[34]  S. Maw,et al.  A model of ice friction for a speed skate blade , 2013 .

[35]  Vasileios Koutsos,et al.  Morphology of ice wear from rubber–ice friction tests and its dependence on temperature and sliding velocity , 2008 .

[37]  Edward P. Lozowski,et al.  Ice hardness in winter sports , 2011 .

[38]  Hansueli Rhyner,et al.  The kinetic friction of polyethylen on snow: the influence of the snow temperature and the load , 2001 .

[39]  Peter Englezos,et al.  Physics of ice friction , 2010 .

[40]  Masahiko Arakawa,et al.  Adhesion shear theory of ice friction at low sliding velocities, combined with ice sintering , 2004 .

[41]  Vasileios Koutsos,et al.  Friction of rubber on ice: A new machine, influence of rubber properties and sliding parameters , 2012 .

[42]  Adrian Bejan,et al.  Contact melting during sliding on ice , 1993 .

[43]  S. J. Calabrese,et al.  Parameters Affecting the Kinetic Friction of Ice , 1987 .

[44]  D. Szabó,et al.  Sliding friction of polyethylene on snow and ice: Contact area and modeling , 2007 .

[45]  K. Izumiyama,et al.  Friction of melting ice , 1994 .

[46]  M. Salmeron,et al.  Friction of ice measured using lateral force microscopy , 2000 .

[47]  S. J. Calabrese,et al.  FRICTIONAL CHARACTERISTICS OF MATERIALS SLIDING AGAINST ICE , 1980 .

[48]  F. Calleja,et al.  Review: the microhardness of non-crystalline materials , 2002 .

[49]  R. Ettema,et al.  Measurements of icing hardness , 1989 .

[50]  David Tabor,et al.  The friction and creep of polycrystalline ice , 1971, Proceedings of the Royal Society of London. A. Mathematical and Physical Sciences.

[51]  Alex Klein-Paste,et al.  Microstructural investigation of ice surfaces after rubber–ice and sand–ice sliding friction tests , 2010 .

[52]  P. Oksanen FRICTION AND ADHESION OF ICE , 1983 .

[53]  Jane R. Blackford,et al.  Ice friction, wear features and their dependence on sliding velocity and temperature , 2005, Journal of Glaciology.

[54]  Uri Raviv,et al.  Fluidity of water confined to subnanometre films , 2001, Nature.

[55]  S. Hatzikiriakos,et al.  The ice friction of polymeric substrates , 2012 .

[56]  E. Schulson,et al.  On friction and surface cracking during sliding of ice on ice , 2003, Journal of Glaciology.

[57]  Edward P. Lozowski,et al.  Speedskate ice friction: review and numerical model - FAST 1.0 , 2007 .

[58]  Lasse Makkonen,et al.  SURFACE MELTING OF ICE , 1997 .

[59]  M. Rist,et al.  High-Stress Ice Fracture and Friction , 1997 .

[60]  E. Lozowski,et al.  Derivation and New Analysis of a Hydrodynamic Model of Speed Skate Ice Friction , 2013 .

[61]  W. Kuhs Physics and Chemistry of Ice , 2007 .

[62]  J. M. Martín,et al.  Experimental investigation of friction on low-temperature ice , 2003 .

[63]  Juhani Keinonen,et al.  The mechanism of friction of ice , 1982 .

[64]  Tai-De Li,et al.  Structured and viscous water in subnanometer gaps , 2007 .