The paper presents a definition of particle rolling for the interactions of two and three-dimensional particles of arbitrary shape, in case of infinitesimal particle translations and rotations. The definition is based on a purely kinematical analysis, and it is shown to satisfy the objectivity condition.
A Definition of Particle Rolling in a Granular Assembly in Terms of Particle Translations and Rotations
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, October 22, 2002; final revision, November 25, 2003. Editor: R. M. Meeking. Discussion on the paper should be addressed to the Editor, Prof. Robert M. McMeeking, Journal of Applied Mechanics, Department of Mechanical and Environmental Engineering, University of California–Santa Barbara, Santa Barbara, CA 93106-5070, and will be accepted until four months after final publication in the paper itself in the ASME JOURNAL OF APPLIED MECHANICS.
Bagi, K., and Kuhn, M. R. (September 7, 2004). "A Definition of Particle Rolling in a Granular Assembly in Terms of Particle Translations and Rotations ." ASME. J. Appl. Mech. July 2004; 71(4): 493–501. https://doi.org/10.1115/1.1755693
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