Collective Friction of an Array of Particles: A Crucial Test for Numerical Algorithms

Journal de Physique II

Volumn 7, Issue 9, 1997, Pages 1053-1070

  Radjai, Farhang ^a   Schäfer, Jochen ^a   Dippel, Sabine ^a   Wolf, Dietrich ^a  

^a HLRZ   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; GRANULAR MATERIALS; MOLECULAR DYNAMICS; NUMERICAL ANALYSIS; PARTICLES (PARTICULATE MATTER); POROUS MATERIALS; ROTATION;

CONTACT DYNAMICS; COULOMB'S LAW OF FRICTION;

FRICTION MATERIALS;

EID: 0031233168     PISSN: 11554312     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (25)

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22. A probably more dramatic error results from the sign of the friction force. At a NS contact, the sign of the friction force can be positive or negative, depending on the dynamics. The RC1 law always gives a friction force directed opposite to the relative velocity, even when the relative velocity is not physically significant.
23. This means that no contact will become activated any more, so that the contact states cannot change.
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25. This behavior can be understood in terms of rotation modes. At low values of NL all particles of the array are in mode 1. Since the friction forces at particle-plane contacts are only partially mobilized, the global friction force is small. We should emphasize here the point that, although all particle-plane contacts are nondissipative in this mode, the global array-plane friction does measure the dissipation rate in the system. In fact, the mobilization of friction forces at particle-plane contacts is directly related to dissipation at particle-particle contacts. The normal particle-particle forces increase with the driving force, so that interparticle dissipation, friction forces at particle-plane contacts and, as a consequence, fig increase.