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Number of results
Journal
2003 | 1 | 4 | 596-605
Article title

The dynamics of multiparticle collisions in motion of a granular material

Content
Title variants
Languages of publication
EN
Abstracts
EN
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.
Publisher

Journal
Year
Volume
1
Issue
4
Pages
596-605
Physical description
Dates
published
1 - 12 - 2003
online
1 - 12 - 2003
Contributors
  • Institute of Mathematics and Computer Science, Czestochowa University of Technology, Dąbrowskiego 73, 42-200, Czestochowa, Poland, jale@k2.pcz.czest.pl
References
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  • [2] P.A. Cundall and O.D.L. Strack (Eds.): “A discrete numerical model for granular assemblies”, Geotechnique, Vol. 29, (1979), pp. 47–65. [Crossref]
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  • [4] G. Kuwabara, K. Kono: “Restitution coefficient in a collision between two spheres”, Jap. J. Appl. Phys., Vol. 26 Part 1. (1987), pp. 1230–1233. http://dx.doi.org/10.1143/JJAP.26.1230[Crossref]
  • [5] J.S. Leszczynski: “A numerical method for solution of ordinary differential equations of fractional order”, Lecture Notes in Computer Science, Vol. 2328, (2002), pp. 695–702. http://dx.doi.org/10.1007/3-540-48086-2_77[Crossref]
  • [6] J.S. Leszczynski: “A discrete model of a two-particle contact applied to cohesive granular materials”, Granular Matter, Vol. 5(2), (2003), pp. 91–98. http://dx.doi.org/10.1007/s10035-003-0129-7[Crossref]
  • [7] J.S. Leszczynski: “Computer simulations of multiparticle-contacts dynamics”, Lecture Notes in Computer Science, Vol. 2657, (2003), pp. 105–114.
  • [8] J.S. Leszczynski: “The calculation of a normal force between multiparticle contacts using fractional operators” inComputational Fluid and Solid Mechanics 2003, K.J. Bathe (Ed.), Elsevier Science, 2003, pp. 2043–2047.
  • [9] S. Luding, E. Cl'ement, A. Blumen, J. Rajchenbach and J. Duran: “Anomalous energy dissipation in molecular dynamics simulations of grains”, Phys. Rev. E, Vol. 50, (1994), pp. 4113–4122. http://dx.doi.org/10.1103/PhysRevE.50.4113[Crossref]
  • [10] S. McNamara and W.R. Young: “Inelastic collapse and clumping in a one dimensional medium”, Phys. Fluids Vol. A 4, (1992), pp. 496–504. http://dx.doi.org/10.1063/1.858323[Crossref]
  • [11] K.B. Oldham, J. Spanier (Eds.): The Fractional Calculus. Theory and Applications of Differentiation and Integration to Arbitrary Order, Academic Press, New York, 1974.
  • [12] L. Pournin, Th.M. Liebling: “Molecular dynamics force models for better control of energy dissipation in numerical simulations of dense granular media”, Phys. Rev. E, Vol. 65, (2001), pp. 011302-1–011302-7. http://dx.doi.org/10.1103/PhysRevE.65.011302[Crossref]
  • [13] D.C. Rappaport (Ed.): The Art of Molecular Dynamics Simulation. Cambridge Univ. Press. Cambridge, 1995.
  • [14] O.R. Walton, R.L. Braun: “Viscosity, granular-temperature and stress calculations for shearing assemblies of inelastic frictional disks”, J. Rheol., Vol. 30, (1986), pp. 949–980. http://dx.doi.org/10.1122/1.549893[Crossref]
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.-psjd-doi-10_2478_BF02475905
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