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Rolling as a “continuing collision”

  • N.V. Brilliantov
  • T. Pöschel

Abstract:

We show that two basic mechanical processes, the collision of particles and rolling motion of a sphere on a plane, are intimately related. According to our recent findings, the restitution coefficient for colliding spherical particles \(\), which characterizes the energy loss upon collision, is directly related to the rolling friction coefficient \(\) for a viscous sphere on a hard plane. We quantify both coefficients in terms of material constants which allows to determine either of them provided the other is known. This relation between the coefficients may give rise to a novel experimental technique to determine alternatively the coefficient of restitution or the coefficient of rolling friction.

PACS. 81.05.Rm Porous materials; granular materials - 83.70.Fn Granular solids 

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Copyright information

© EDP Sciences, Springer-Verlag, Società Italiana di Fisica 1999

Authors and Affiliations

  • N.V. Brilliantov
    • 1
  • T. Pöschel
    • 2
  1. 1.Moscow State University, Physics Department, Moscow 119899, RussiaRU
  2. 2.Humboldt-Universität, Institut für Physik (http://summa.physik.hu-berlin.de/∽kies/), Invalidenstrasse 110, 10115 Berlin, GermanyDE

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