Rolling friction of a viscous sphere on a hard plane

Details Rolling friction of a viscous sphere on a hard plane Rolling friction of a viscous sphere on a hard plane

1998-02-01

arxiv.org/abs/cond-mat/9802007v1

Europhys. Lett., Vol. 42, 511 (1998)

Physics

Condensed Matter

Materials Science

6 pages, 2 figures

Scientific paper

10.1209/epl/i1998-00281-7

A first-principle continuum-mechanics expression for the rolling friction coefficient is obtained for the rolling motion of a viscoelastic sphere on a hard plane. It relates the friction coefficient to the viscous and elastic constants of the sphere material. The relation obtained refers to the case when the deformation of the sphere $\xi$ is small, the velocity of the sphere $V$ is much less than the speed of sound in the material and when the characteristic time $\xi/V$ is much larger than the dissipative relaxation times of the viscoelastic material. To our knowledge this is the first ``first-principle'' expression of the rolling friction coefficient which does not contain empirical parameters.

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