Combining tomographic imaging and DEM simulations to investigate the structure of experimental sphere packings

Soft Matter

Volumn 6, Issue 13, 2010, Pages 2992-3006

  Delaney, Gary W ^a,b   Di Matteo, T ^b,c   Aste, Tomaso ^b,c,d  

^a CSIRO   (Australia)

^b AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

^c KING'S COLLEGE LONDON   (United Kingdom)

^d UNIVERSITY OF KENT   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

DEM SIMULATION; DISCRETE ELEMENT METHOD SIMULATIONS; GEOMETRIC PROPERTIES; GRAIN CONTACTS; IMAGE RECONSTRUCTION TECHNIQUES; MICRO-TOMOGRAPHY; PACKING FRACTIONS; PACKING PROPERTIES; SPHERE PACKINGS; TOMOGRAPHIC; TOMOGRAPHIC IMAGING; VIRTUAL LABORATORIES;

SPHERES; TOMOGRAPHY;

IMAGE RECONSTRUCTION;

EID: 77953928073     PISSN: 1744683X     EISSN: 17446848     Source Type: Journal    
DOI: 10.1039/b927490a     Document Type: Article

References (69)

1. L. P. Kadanoff Rev. Mod. Phys. 1999 71 435
2. H. M. Jaeger S. R. Nagel R. P. Behringer Rev. Mod. Phys. 1996 68 1259
3. C. S. Campbell Annu. Rev. Fluid Mech. 1990 22 57
4. G. T. Herman, Fundamentals of computerized tomography: Image reconstruction from projection, Springer-Verlag, Berlin, 2009, 2nd edn
5. J. Keeler, Understanding NMR Spectroscopy, John Wiley & Sons, New York, 2005
6. J. Brujić S. F. Edwards I. Hopkingson H. A. Makse Phys. A 2003 327 201
7. M. Cui R. Adrian Exp. Fluids 1997 22 261
8. T. S. Majmudar R. P. Behringer Nature 2005 435 1079
9. T. Aste M. Saadatfar T. J. Senden Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2005 71 061302
10. M. Tsukahara S. Mitrovic V. Gajdosik G. Margaritondo L. Pournin M. Ramaioli D. Sage Y. Hwu M. Unser T. M. Liebling Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2008 77 061306
11. G. Delaney, S. Inagaki, and T. Aste, in Granular and Complex Materials, ed., T. Aste, T. D. Matteo, and, A. Tordesillas, World Scientific, 2007, vol. 8, pp. 169-185
12. G. W. Delaney S. Inagaki T. Di Matteo Proc. SPIE 2008 vol. 6802 68020G
13. A. Mehta G. C. Barker J. M. Luck Proc. Natl. Acad. Sci. U. S. A. 2008 105 8244
14. M. Nicodemi A. Coniglio H. J. Herrmann Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 1997 55 3962
15. C. S. O'Hern L. E. Silbert A. J. Liu S. R. Nagel Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2003 68 011306
16. H. A. Makse N. Gland D. L. Johnson L. Schwartz Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2004 70 061302
17. H. G. Matuttis S. Luding H. J. Herrmann Powder Technol. 2000 109 278
18. T. Pöschel and T. Schwager, Computational Granular Dynamics, Springer-Verlag, Berlin, 2005
19. P. A. Cundall O. D. L. Strack Geotechnique 1979 29 47
20. S. Hutzler G. Delaney D. Weaire F. MacLeod Am. J. Phys. 2004 72 1508
21. T. Aste and D. Weaire, The Pursuit of Perfect Packing, Institute of Physics, Bristol, 2000
22. N. V. Brilliantov F. Spahn J. Hertzsch T. Pschel Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 1996 53 5382
23. T. S. Majmudar M. Sperl S. Luding R. P. Behringer Phys. Rev. Lett. 2007 98 058001
24. See, http://wwwrsphysse.anu.edu.au/granularmatter/(2006-2009)
25. T. Aste J. Phys.: Condens. Matter 2005 17 S2361
26. T. Aste T. Di Matteo M. Saadatfar T. J. Senden M. Schröter H. L. Swinney Europhys. Lett. 2007 79 24003
27. M. Jerkins M. Schröter H. L. Swinney T. J. Senden M. Saadatfar T. Aste Phys. Rev. Lett. 2008 101 018301
28. T. Aste M. Saadatfar A. Sakellariou T. J. Senden Phys. A 2004 339 16
29. M. Schröter D. I. Goldman H. L. Swinney Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2005 71 030301
30. A. Sakellariou, T. J. Senden, T. J. Sawkins, M. A. Knackstedt, A. Limaye, C. H. Arns, A. P. Sheppard, and R. M. Sok, in Proceedings of SPIE, ed., U. Bonse, 2004, vol. 5535, pp. 166-171
31. A. Sakellariou T. J. Sawkins T. J. Senden A. Limaye Phys. A 2004 339 152
32. S. Beucher and C. Lantuéjoul, Use of watersheds in contour detection in International workshop on image processing, real-time edge and motion detection/estimation, Rennes, France, 1979, pp. 2.1-2.12
33. K. Johnson, Contact Mechanics, Cambridge University Press, Cambridge, 1985
34. L. Landau and E. Lifshitz, Theory of Elasticity, Pergamon, New York, 1970
35. H. A. Makse N. Gland D. L. Johnson L. Schwartz Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2004 70 061302
36. C. Goldenberg I. Goldhirsch Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2008 77 041303
37. C. H. Rycroft M. Z. Bazant G. S. Grest J. W. Landry Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2006 73 051306
38. J. Schafer S. Dippel D. Wolf J. Phys. I 1996 6 5
39. L. Brendel S. Dippel Physics of Dry Granular Media 1998 39
40. A. Donev S. Torquato F. H. Stillinger R. Connelly Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2005 71 011105
41. R. D. Kamien A. J. Liu Phys. Rev. Lett. 2007 99 155501
42. R. P. Ojha P. A. Lemieux P. K. Dixon A. J. Liu D. J. Durian Nature 2004 427 521
43. L. E. Silbert A. J. Liu S. R. Nagel1 Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2006 73 041304
44. C. Song P. Wang H. A. Makse Nature 2008 453 629
45. W. O. Smith P. D. Foote P. F. Busang Phys. Rev. 1929 34 1271
46. J. D. Bernal J. Mason Nature 1960 188 910
47. G. D. Scott Nature 1962 194 956
48. G. W. Delaney D. Weaire S. Hutzler Europhys. Lett. 2005 72 990
49. G. Mason W. Clark Nature 1966 211 957
50. G. Mason Nature 1968 217 733
51. P. J. Steinhardt D. R. Nelson M. Ronchetti Phys. Rev. B: Condens. Matter 1983 28 784
52. G. T. Seidler G. Martinez L. H. Seeley K. H. Kim E. A. Behne S. Zaranek B. D. Chapman S. M. Heald D. L. Brewe Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscip. Top. 2000 62 8175
53. A. Sederman P. Alexander L. Gladden Powder Technol. 2001 117 255
54. S. Torquato F. Stillinger J. Phys. Chem. B 2001 105 11849
55. L. E. Silbert D. Ertas G. S. Grest T. C. Halsey D. Levine Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2002 65 031304
56. T. Aste M. Saadatfar T. J. Senden J. Stat. Mech.: Theory Exp. 2006 P07010
57. R. M. Baram H. J. Herrmann N. Rivier Phys. Rev. Lett. 2004 92 044301
58. N. Rivier ISSN 0022-3093, proceedings of the 5th International Discussion Meeting on Relaxations in Complex Systems, 5th International Discussion Meeting on Relaxations in Complex Systems J. Non-Cryst. Solids 2006 352 4505
59. T. Hill, Statistical mechanics, Mc Graw-Hill, New York, 1956
60. M. E. Cates J. P. Wittmer J. Bouchaud P. Claudin Phys. Rev. Lett. 1998 81 1841
61. P. R. Welker S. C. McNamara Phys. Rev. E: Stat., Nonlinear, Soft Matter Phys. 2009 79 061305
62. A. Donev I. Cisse D. Sachs E. Variano F. Stillinger R. Connelly S. Torquato P. Chaikin Science 2004 303 990
63. G. Delaney D. Weaire S. Hutzler S. Murphy Philos. Mag. Lett. 2005 85 89
64. G. W. Delaney S. Hutzler T. Aste Phys. Rev. Lett. 2008 101 120602
65. G. W. Delaney P. W. Cleary Europhys. Lett. 2010 89 34002
66. A. Wouterse S. Luding A. Philipse Granular Matter 2009 11 169
67. The entries in this map are proportional to the X-ray attenuation coefficient of the material which is in turn related to the material density.
68. Such polydispersity was estimated by the distribution of the weight of a sub set of 200 grains for each bead kind and by direct observation of a small set of grains by microscopy. The results are consistent with the producer's specifications. An indirect measure of polydispersity is given in Fig. 4 (see caption), where the resulting data are indeed consistent with the measured values.
69. Eqn (5) assumes spherical symmetry for g(r). We verified that this is indeed the case in these samples where we do not observe any significant orientation dependence in the statistics of the grain distribution.9,25,28