Computer simulation of granular materials

Computing in Science and Engineering

Volumn 11, Issue 1, 2009, Pages 66-74

  Saadatfar, Mohammad ^a  

^a TRINITY COLLEGE DUBLIN   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

CONCURRENT SIMULATIONS; EQUATION OF MOTIONS; GRANULAR PACKINGS; INITIAL STAGES; MONTE CARLO SIMULATIONS; NEW POSITIONS; NUMERICAL SIMULATIONS; POTENTIAL STATES; SEQUENTIAL METHODS; SIMULATION APPROACHES;

COMPUTER SIMULATION; DYNAMICS; EQUATIONS OF MOTION; GRANULAR MATERIALS; HELIUM; MOLECULAR DYNAMICS; QUANTUM CHEMISTRY;

MATHEMATICAL MODELS;

EID: 58149141448     PISSN: 15219615     EISSN: None     Source Type: Journal    
DOI: 10.1109/MCSE.2009.4     Document Type: Article

References (31)

1. H.M. Jaeger, S.R. Nagel, and R.P. Behringer, "Granular Solids, Liquids, and Gases", Rev. Modem Physics, vol. 68, no. 2, 1996, p. 1259.
2. J.D. Bernal, "A Geometrical Approach to the Structure of Liquids", Nature, vol. 183, Jan. 1959, p. 141.
3. G.D. Scott, "Radial Distribution of Random Close Packing of Equal Spheres", Nature, vol. 194, June 1962, p. 956.
4. D.J. Cumberland and R.J. Crawford, The Packing of Particles, Elsevier, 1987.
5. S.F. Edwards and D.V. Grinev, "Statistical Mechanics of Stress Transmission in Disordered Granular Arrays", Physical Rev. Letters, vol. 82, no. 26, 1999, pp. 5397-5400.
6. E.L. Hinrichsen, J. Feder, and T. Jøssang, "Random Packing of Disks in Two Dimensions", Physical Rev. A, vol. 41, no. 8, 1990, pp. 4199-4209.
7. D. Frenkel and B. Smit, Understanding Molecular Simulation, Academic Press, 2002.
8. E.L. Hinrichsen, J. Feder, and T. Jøssang, "Geometry of Random Sequential Adsorption", J. of Statistical Physics, vol. 44, no. 4-5, 1986, pp. 793-827.
9. D.W. Cooper, "Random-Sequential-Packing Simulations in Three Dimensions for Spheres", Physical Rev. A, vol. 38, no. 1, 1988, pp. 522-524.
10. C.H. Bennett, "Serially Deposited Amorphous Aggregates of Hard Spheres", J. Applied Physics, vol. 43, no. 6, 1972, pp. 2727-2734.
11. B.D. Lubachevsky, F.H. Stillinger, and E.N. Pinson, "Disks vs. Spheres: Contrasting Properties of Random Packings", J. Statistical Physics, vol. 64, no. 3-4, 1991, pp. 501-524.
12. F. Radjai et al., "Force Distributions in Dense Two-Dimensional Granular Systems", Physical Rev. Letters, vol. 77, no. 3, 1996, p. 274.
13. T. Aste, M. Saadatfar, and T.J. Senden, "Investigating the Geometrical Structure of Disordered Sphere Packing", Physica A, vol. 339, Aug. 2004, pp. 16-23.
14. J.G. Berryman, "Measurement of Spatial Correlation Functions Using Image Processing Techniques", J. Applied Physics, vol. 57, Apr. 1985, pp. 2374-2384.
15. M. Sahimi, Heterogeneous Materials I & II, Springer, 2003.
16. T. Aste, M. Saadatfar, and T. J. Senden, "Geometrical Structure of Disordered Sphere Packings", Physical Rev. E, vol. 71, June 2005, pp. 061302-061307.
17. H. Hertz, "Uber die Beruhrung Fester Elasticcher Korper" ("On the Contact of Elastic Solids"; in German), J. Reine Angew. Math., vol. 92, 1887, pp. 156-171.
18. K.L Johnson, Contact Mechanics, Cambridge Univ. Press, 1987.
19. B.K. Mishra and C.V.R. Murty, "On the Determination of Contact Parameters for Realistic DEM Simulations of Ball Mills", Powder Technology, vol. 115, no. 3, 2001, pp. 290-297.
20. P. Cundall and O. Strack, "A Discrete Numerical Model for Granular Assemblies", Geotechnique, vol. 29, no. 1, 1979, pp. 47-65.
21. P.W. Cleary, "Discrete Element Modelling of Industrial Granular Flow Applications", TASK Quarterly Scientific Bulletin, vol. 2, no. 3, 1992, pp. 385-416.
22. J. Shunying and H.H. Shen, "Effect of Contact Force Models on Granular Flow Dynamics", J. Eng. Mechanics, vol. 132, no. 11, 2006, pp. 1252-1259.
23. H.A. Makse, D.L. Johnson, and L.M. Schwartz, "Packing of Compressible Granular Materials", Physical Rev. Letters, vol. 84, no. 18, 2000, pp. 4160-4163.
24. D.A. Schecter et al., "Force Fluctuations in Bead Packs", Science, vol. 269, no. 5223, 1995, pp. 513-515.
25. D.M. Mueth, H.M. Jaeger, and S.R. Nagel, "Force Distribution in a Granular Medium", Physical Rev. E, vol. 57, no. 3, 1998, pp. 3164-3169.
26. C.S. O'Hern et al., "Force Distributions near Jamming and Class Transitions", Physical Rev. Letters, vol. 86, no. 1, 2001, pp. 111-114.
27. J. Brujic et al., "3D Bulk Measurements of the Force Distribution in a Compressed Emulsion System", Faraday Discussion, vol. 123, no. 419-421, 2003, pp. 207-220.
28. D.L. Blair et al., "Force Distributions in Three-Dimensional Granular Assemblies: Effects of Packing Order and Interparticle Friction", Physical Rev. E, vol. 63, no. 4wv, 2001, p. 041304.
29. G. Lois and J.M. Carlson, "Force Networks and the Dynamic Approach to Jamming in Sheared Granular Media", Euro Physics Letters, vol. 80, no. 5, 2007, p. 5800.
30. D. Durian, "Foam Mechanics at the Bubble Scale", Physical Rev. Letters, vol. 75, no. 26, 1995, pp. 4780-4783.
31. L.E. Scriven and C.V. Sterling, "The Marangoni Effects", Nature, vol. 187, July 1960, pp. 186-188.