Rolling friction of a viscous sphere on a hard plane

N. V. Brilliantov, T. Pöschel

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127 Citations (Scopus)


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 ξ is small, the velocity of the sphere V is much less than the speed of sound in the material and when the characteristic time ξ/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.

Original languageEnglish
Pages (from-to)511-516
Number of pages6
JournalEurophysics Letters
Issue number5
Publication statusPublished - 1 Jun 1998
Externally publishedYes


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