Rolling friction of a viscous sphere on a hard plane

Autor: Nikolai V. Brilliantov, Thorsten Poeschel
Rok vydání: 1998
Předmět:
Zdroj: Europhysics Letters (EPL). 42:511-516
ISSN: 1286-4854
0295-5075
DOI: 10.1209/epl/i1998-00281-7
Popis: 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.
Comment: 6 pages, 2 figures
Databáze: OpenAIRE