Rolling friction for hard cylinder and sphere on viscoelastic solid

Persson, B. N. J.

doi:10.1140/epje/i2010-10678-y

Journal Article

PreJuSER-12964

Rolling friction for hard cylinder and sphere on viscoelastic solid

Persson, B. N. J.FZJ*

2010
Springer Berlin

The European physical journal / E 33, 327 - 333 (2010) [10.1140/epje/i2010-10678-y]

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Please use a persistent id in citations: http://hdl.handle.net/2128/28955 doi:10.1140/epje/i2010-10678-y

Abstract: We calculate the friction force acting on a hard cylinder or spherical ball rolling on a flat surface of a viscoelastic solid. The rolling-friction coefficient depends non-linearly on the normal load and the rolling velocity. For a cylinder rolling on a viscoelastic solid characterized by a single relaxation time Hunter has obtained an exact result for the rolling friction, and our result is in very good agreement with his result for this limiting case. The theoretical results are also in good agreement with experiments of Greenwood and Tabor. We suggest that measurements of rolling friction over a wide range of rolling velocities and temperatures may constitute a useful way to determine the viscoelastic modulus of rubber-like materials.

Keyword(s): Algorithms (MeSH) ; Elasticity (MeSH) ; Friction (MeSH) ; Models, Chemical (MeSH) ; Rubber: chemistry (MeSH) ; Stress, Mechanical (MeSH) ; Viscosity (MeSH) ; Rubber ; J

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Note: I thank J.A. Greenwood for drawing my attention to the work of S. C. Hunter and I. G. Goryacheva, and for supplying the numerical data for the blue curve in fig. 1 (theory of Hunter). I also thank him and A. Nitzan for useful comments on the text. I thank A. Nitzan for the warm hospitality during a 2 weeks stay at Tel Aviv University where this work was done. I thank M. Kluppel for the (measured) viscoelastic modulus of the filled and unfilled SB rubber. This work, as part of the European Science Foundation EUROCORES Program FANAS, was supported from funds by the DFG and the EC Sixth Framework Program, under contract N ERAS-CT-2003-980409.

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