Stress correlations in granular materials: An entropic formulation

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 80, Issue 6, 2009, Pages

  Lois, G ^a   Zhang, J ^b   Majmudar, T S ^b   Henkes, S ^c   Chakraborty, B ^c   O'Hern, C S ^a   Behringer, R P ^b  

^a Yale University   (United States)

^b DUKE UNIVERSITY   (United States)

^c BRANDEIS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPLIED STRESS; CONTACT FORCES; EXTERNAL STRESS; GINZBURG-LANDAU FUNCTIONAL;

GRANULAR MATERIALS; MECHANICAL STABILITY;

ELASTIC MODULI;

EID: 77149136762     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.80.060303     Document Type: Article

References (28)

1. C.-h. Liu, Science 269, 513 (1995). 10.1126/science.269.5223.513
2. J. Zhou, Science 312, 1631 (2006). 10.1126/science.1125151
3. D. M. Mueth, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E 57, 3164 (1998). 10.1103/PhysRevE.57.3164
4. P. Dantu, Ann. Ponts Chaussees 4, 144 (1967).
5. J. Geng, Phys. Rev. Lett. 87, 035506 (2001). 10.1103/PhysRevLett.87. 035506
6. T. S. Majmudar and R. P. Behringer, Nature (London) 435, 1079 (2005). 10.1038/nature03805
7. M. Otto, Phys. Rev. E 67, 031302 (2003). 10.1103/PhysRevE.67.031302
8. M. E. Cates, Phys. Rev. Lett. 81, 1841 (1998). 10.1103/PhysRevLett.81. 1841
9. R. Blumenfeld, Phys. Rev. Lett. 93, 108301 (2004). 10.1103/PhysRevLett. 93.108301
10. I. Goldhirsch and C. Goldenberg, Eur. Phys. J. E 9, 245 (2002). 10.1140/epje/i2002-10073-5
11. A. V. Tkachenko and T. A. Witten, Phys. Rev. E 60, 687 (1999). 10.1103/PhysRevE.60.687
12. C. F. Moukarzel, Phys. Rev. Lett. 81, 1634 (1998). 10.1103/PhysRevLett. 81.1634
13. M. Wyart, S. R. Nagel, and T. A. Witten, EPL 72, 486 (2005). 10.1209/epl/i2005-10245-5
14. S. Henkes, C. S. O'Hern, and B. Chakraborty, Phys. Rev. Lett. 99, 038002 (2007). 10.1103/PhysRevLett.99.038002
15. R. Blumenfeld, in Granular and Complex Materials, Lecture Notes in Complex Systems Vol. 8, edited by, T. Aste, A. Tordessilas, and, T. D. Matteo, (World Scientific, Singapore, 2007).
16. B. P. Tighe, A. R. T. van Eerd, and T. J. H. Vlugt, Phys. Rev. Lett. 100, 238001 (2008). 10.1103/PhysRevLett.100.238001
17. S. Henkes and B. Chakraborty, Phys. Rev. E 79, 061301 (2009). 10.1103/PhysRevE.79.061301
18. N. Goldenfeld, Lectures on Phase Transitions and the Renormalization Group (Addison-Wesley, New York, 1992).
19. C. Song, P. Wang, and H. A. Makse, Nature (London) 453, 629 (2008). 10.1038/nature06981
20. R. C. Ball and R. Blumenfeld, Phys. Rev. Lett. 88, 115505 (2002). 10.1103/PhysRevLett.88.115505
21. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Butterworth-Heinemann, London, 1986).
22. B. Tighe (private communication).
23. C. S. O'Hern, Phys. Rev. E 68, 011306 (2003). 10.1103/PhysRevE.68.011306
24. L. E. Silbert, Phys. Rev. E 65, 031304 (2002). 10.1103/PhysRevE.65.031304
25. N. Xu, J. Blawzdziewicz, and C. S. O'Hern, Phys. Rev. E 71, 061306 (2005). 10.1103/PhysRevE.71.061306
26. H. P. Zhang and H. A. Makse, Phys. Rev. E 72, 011301 (2005). 10.1103/PhysRevE.72.011301
27. T. S. Majmudar, Phys. Rev. Lett. 98, 058001 (2007). 10.1103/PhysRevLett. 98.058001
28. J. Zhang (unpublished).