The Community for Technology Leaders
RSS Icon
Issue No.01 - January/February (2009 vol.11)
pp: 66-74
Mohammad Saadatfar , Trinity College Dublin
Granular materials: what are they, and how can we generate them on computers? How do we characterize such systems both quantitatively and qualitatively? How does a granular pile respond to an external force? How can we access and interpret the internal structure of granular materials at micro- and macroscales? This installment of Computer Simulations approaches these questions by reviewing a range of granular material theories and numerical simulation techniques.
Computer simulations, material science, microscale, macroscale, granular materials
Mohammad Saadatfar, "Computer Simulation of Granular Materials", Computing in Science & Engineering, vol.11, no. 1, pp. 66-74, January/February 2009, doi:10.1109/MCSE.2009.4
1. H.M. Jaeger, S.R. Nagel, and R.P. Behringer, "Granular Solids, Liquids, and Gases," Rev. Modern 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. J⊘ssang, "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. J⊘ssang, "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 Glass 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.
15 ms
(Ver 2.0)

Marketing Automation Platform Marketing Automation Tool