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@ARTICLE{Persson:12964,
author = {Persson, B. N. J.},
title = {{R}olling friction for hard cylinder and sphere on
viscoelastic solid},
journal = {The European physical journal / E},
volume = {33},
issn = {1292-8941},
address = {Berlin},
publisher = {Springer},
reportid = {PreJuSER-12964},
pages = {327 - 333},
year = {2010},
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.},
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.},
keywords = {Algorithms / Elasticity / Friction / Models, Chemical /
Rubber: chemistry / Stress, Mechanical / Viscosity / Rubber
(NLM Chemicals) / J (WoSType)},
cin = {IFF-1},
ddc = {530},
cid = {I:(DE-Juel1)VDB781},
pnm = {Grundlagen für zukünftige Informationstechnologien},
pid = {G:(DE-Juel1)FUEK412},
shelfmark = {Chemistry, Physical / Materials Science, Multidisciplinary
/ Physics, Applied / Polymer Science},
typ = {PUB:(DE-HGF)16},
pubmed = {pmid:21107881},
UT = {WOS:000285362500007},
doi = {10.1140/epje/i2010-10678-y},
url = {https://juser.fz-juelich.de/record/12964},
}