Topological evolution in dense granular materials: A complex networks perspective

International Journal of Solids and Structures

Volumn 47, Issue 5, 2010, Pages 624-639

  Walker, David M ^a   Tordesillas, Antoinette ^a  

^a UNIVERSITY OF MELBOURNE   (Australia)

Author keywords

Complex networks; Dissipation; Granular systems; Shear band

Indexed keywords

COMPLEX MATERIALS; COMPLEX NETWORKS; CONSTITUTIVE PROPERTIES; CONTACT FORCES; CONTACT NETWORKS; DENSE GRANULAR MATERIALS; DESIGN PRINCIPLES; DISSIPATION; EMERGENT BEHAVIORS; EXTERNAL LOADS; FORCE CHAINS; GRANULAR MEDIUM; GRANULAR SYSTEM; KEY PROCESS; LENGTH SCALE; MACROSCOPIC LEVELS; MESOSCOPIC LEVELS; NETWORK MOTIF; NETWORK STATISTICS; NETWORK STRUCTURES; NON-AFFINE DEFORMATION; PATTERN FORMATION; SELF-ORGANIZED; SOURCES OF ENERGY; TOPOLOGICAL EVOLUTION; TOPOLOGICAL PROPERTIES;

DEFORMATION; ENERGY DISSIPATION; RECONSTRUCTION (STRUCTURAL); SHEAR BANDS; STRUCTURAL DESIGN; TOPOLOGY;

GRANULAR MATERIALS;

EID: 72449152787     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2009.10.025     Document Type: Article

References (61)

1. Agnolin I., and Roux J.-N. Physical Review E 76 (2007) 061302
2. Albert R., and Barabási A.-L. Reviews of Modern Physics 74 (2002) 47-97
3. Alonso-Marroquin F., Luding S., Herrmann H.J., et al. Physical Review E 71 (2005) 051304
4. Andrade Jr. J.S., Herrmann H.J., Andrade R.F.S., and Da Silva L.R. Physical Review Letters 94 (2005) 018702
5. Arévalo R., Zuriguel I., and Maza D. International Journal of Bifurcation and Chaos 19 (2009) 695-702
6. Boccaletti S., Latora V., Moreno Y., Chavez M., and Hwang D.U. Physics Reports 424 (2006) 175-308
7. Bollobás B. Modern Graph Theory (2008), Springer
8. Brandes U. Journal of Mathematical Sociology 25 (2001) 163-177
9. Collins I.F., and Houlsby G.T. Proceedings of the Royal Society of London A 453 (1997) 1975-2001
10. Cundall P.A., and Strack O.D.L. Geotechnique 29 (1979) 47
11. Costa L.d.F. Physical Review E 70 (2004) 056106
12. Costa, L.da F., Oliveira O.N. Jr., Travieso, G., Rodrigues, F.A., Villas Boas, P.R., Antiqueira, L., Viana, M.P., da Roscha, L.E.C., 2007. arXiv:0711.3199v1[physics.soc-ph] 20 November. Available from: <(http://arxiv.org/abs/0711.3199) (2007)>.
13. da Cruz F., Enman S., Prochnow M., Roux J.-N., and Chevoir F. Physical Review E 72 (2005) 021309
14. Dalton F., and Corcoran D. Physical Review E 63 (2001) 061313
15. Estrada E., and Rodríguez-Velázquez J.A. Physical Review E 71 (2005) 056103
16. Estrada E., and Rodríguez-Velázquez J.A. Physical Review E 72 (2005) 046105
17. Estrada N., Taboada A., and Radjai F. Physical Review E 78 (2008) 021301
18. Gang X., Lai Y.-C., and Lai C.H. Physical Review E 74 (2006) 066104
19. Goh K.L., Kahng B., and Kim D. Physical Review Letters 87 (2001) 278701
20. Horton J.D. SIAM Journal of Computer 16 (1987) 358
21. Hu N., and Molinari J.F. Journal of Mechanics and Physics of Solids 52 (2004) 499
22. Iwashita K., and Oda M. Powder Technology 109 (2000) 192-205
23. Jiang M.J., Yu H.S., and Harris D. Computers and Geotechnics 32 (2005) 340
24. Ji S., Hanes D.M., and Shen H.H. Mechanics of Materials 41 (2009) 764
25. Koenders M.A. Physical Review E 56 (1997) 5585-5593
26. Kuhn M.R. Mechanical Matter 31 (1999) 407
27. Lind P.G., González M.C., and Herrmann H.J. Physical Review E 72 (2005) 056127
28. Majmudar T.S., and Behringer R.P. Nature 435 (2005) 1079-1082
29. Mehlhorn K., and Michail D. ACM Journal of Experimental Algorithmics 11 (2006) 1
30. Milo R., Shen-Orr S., Itzkovitz S., Kashtan N., Chklovskii D., and Alon U. Science 298 (2002) 824-5594
31. Muthuswamy M., and Tordesillas A. Journal of Statistical Mechanics (2006) P09003
32. Newman M.E.J. SIAM Review 45 (2003) 167-256
33. Oda M., and Iwashita K. International Journal of Engineering Science 38 (2000) 1713
34. Oda M., and Iwashita K. International Journal of Engineering Science 38 (2000) 1713-1740
35. Oda M., Takemura T., and Takahashi M. Geotechnique 54 (2004) 539-542
36. Onnela J.-P., Saramäki J., Kertész J., and Kaski K. Physical Review E 71 (2005) 065103R
37. Peña, A.A., Hermann, H.J., Lind, P.G., 2009. In: Nakagawa, M., Luding, S. (Ed.), Powders& Grains 2009 AIP Conference Proceedings, Proceedings of the Sixth International Conference Micromechanics of Granular Media 2009, vol. 1145, Colorado, USA.
38. Peters J.F., Muthuswamy M., Wibowo J., and Tordesillas A. Physical Review E 72 (2005) 041307
39. Radjai F., Wolf D.E., Jean M., and Moreau J.J. Physical Review Letters 80 (1998) 61-64
40. Rechenmacher A.L. Journal of the Mechanics and Physics of Solids 54 (2006) 22
41. Rozenfeld H.D., Kirk J.E., Bollt E.M., and Ben-Avraham D. Journal of Physics A: Mathematical and General 38 (2005) 4589-4595
42. Sakaguchi H., Ozaki E., and Igarashi T. International Journal of Modern Physics B 7 (1993) 1949
43. Smart A., and Ottino J.M. Soft Matter 4 (2008) 2125-2131
44. Smart A., and Ottino J.M. Physical Review E 77 (2008) 041307
45. Soares D.J.B., Andrade Jr. J.S., Herrmann H.J., and Da Silva L.R. International Journal of Modern Physics C 17 (2006) 1203-1218
46. Strogatz S.H. Nature 410 (2001) 268-276
47. Thornton C., and Zhang L. Philosophical Magazine 86 (2006) 3425
48. Tordesillas A. Philosophical Magazine 87 (2007) 4987-5016
49. Tordesillas A., and Muthuswamy M. Acta Geotechnica 3 (2008) 225-240
50. Tordesillas A., and Muthuswamy M. Journal of Mechanics and Physics of Solids 57 (2009) 706-727
51. Tordesillas, A., Muthuswamy, M., 2009. In: Nakagawa, M., Luding, S. (Ed.), Powders& Grains 2009 AIP Conference Proceedings, Proceedings of the Sixth International Conference Micromechanics of Granular Media, vol. 1145, Colorado, USA.
52. Tordesillas A., and Shi J. International Journal of Numerical and Analytical Methods of Geomechanics 33 (2009) 1737
53. Tordesillas A., Muthuswamy M., and Walsh S.D.C. Journal of Engineering Mechanics ASCE 134 (2008) 1095-1113
54. Tordesillas, A., Walsh, S.D.C., Muthuswamy, M., 2008. Mathematics and Mechanics of Solids doi:10.1177/1081286508089844.
55. Tordesillas A., Zhang J., and Behringer R. Geomechanics and Geoengineering 4 (2009) 3-16
56. Tordesillas, A., Walker, D.M., Lin, Q., submitted for publication. Physical Review E.
57. Valanis K.C. Acta Mechanica 113 (1995) 169-184
58. Valanis K.C. Acta Mechanica 116 (1996) 1-14
59. Vázquez A., Oliveira J.G., and Barabási A.-L. Physical Review E 71 (2005) 025103R
60. Volfson D., Tsimring L.S., and Aranson I.S. Physical Review E 69 (2004) 031302
61. Watts D.J., and Strogatz S.H. Nature 393 (1998) 440-442