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The dynamics of multiparticle collisions in motion of a granular material
Authors:Jacek S Leszczyński
Institution:(1) Institute of Mathematics and Computer Science, Czestochowa University of Technology, Dąbrowskiego 73, 42-200 Czestochowa, Poland
Abstract:We consider the complex problem of how to calculate particle motions taking into account multiparticle collisions. Multiparticle contacts occur when a particle collides with neighbouring particles, so that those contacts have a direct influence on each other. We will focus on the molecular dynamics method. Particularly, we will analyse what happens in cohesive materials during multiparticle contacts. We investigated the expression of repulsive force formulated under fractional calculus which is able to control dynamically the transfer and dissipation of energy in granular media. Such approach allows to perform simulations of arbitrary multiparticle collisions and also granular cohesion dynamics.
Keywords:granular matter                      multiparticle collisions                      cohesion                      fractional derivative
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