Nonlinear elastic stress response in granular packings

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

Volumn 77, Issue 3, 2008, Pages

  Tighe, Brian P ^a   Socolar, Joshua E S ^a  

^a DUKE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANISOTROPY; BOUNDARY CONDITIONS; CONTINUUM MECHANICS; ELASTICITY; NONLINEAR EQUATIONS; STRESS ANALYSIS;

BOUNDARY FORCES; ELASTIC STRESS RESPONSE; ISOTROPIC MATERIALS; PHOTOELASTIC GRAINS;

GRANULAR MATERIALS;

EID: 40949162288     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.031303     Document Type: Article

References (38)

1. J. Geng, D. Howell, E. Longhi, R. P. Behringer, G. Reydellet, L. Vanel, E. Clément, and S. Luding, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.035506 87, 035506 (2001).
2. J. Geng, G. Reydellet, E. Clément, and R. P. Behringer, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(03)00137-4 182, 274 (2003).
3. D. Serero, G. Reydellet, P. Claudin, E. Clément, and D. Levine, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890170019 6, 169 (2001).
4. G. Reydellet and E. Clément, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.3308 86, 3308 (2001).
5. N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.031304 66, 031304 (2002).
6. M. J. Spannuth, N. W. Mueggenburg, H. M. Jaeger, and S. R. Nagel, Granular Matter 6, 215 (2004). 1434-5021
7. D. Head, A. Tkachenko, and T. Witten, Eur. Phys. J. E EPJSFH 1292-8941 10.1007/s101890170032 6, 99 (2001).
8. C. Goldenberg and I. Goldhirsch, Granular Matter GRMAFE 1434-5021 10.1007/s10035-004-0165-y 6, 87 (2004).
9. C. Goldenberg and I. Goldhirsch, Nature (London) NATUAS 0028-0836 10.1038/nature03497 435, 188 (2005).
10. A. Kasahara and H. Nakanishi, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.70.051309 70, 051309 (2004).
11. C. F. Moukarzel, H. Pacheco-Martinez, J. C. Ruiz-Suarez, and A. M. Vidales, Granular Matter 6, 61 (2004). 1434-5021
12. N. Gland, P. Wang, and H. A. Makse, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2006-10012-6 20, 179 (2006).
13. W. G. Ellenbroek, E. Somfai, W. van Saarloos, and M. van Hecke, in Powders and Grains 2005, edited by, R. Garcia-Rojo, H. Herrmann, and, S. McNamara, (A. A. Balkema Publishers, Rotterdam, 2005), pp. 377-380.
14. W. G. Ellenbroek, E. Somfai, M. van Hecke, and W. van Saarloos, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.258001 97, 258001 (2006).
15. S. Ostojic and D. Panja, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2004-10530-9 71, 70 (2005).
16. S. Ostojic and D. Panja, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.97.208001 97, 208001 (2006).
17. J. Boussinesq, Application des Potentiels à l'Itude de l'Iquilibre et du Mouvement des Solides Ilastiques (Gauthier-Villars, Paris, 1885).
18. M. Otto, J.-P. Bouchaud, P. Claudin, and J. E. S. Socolar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.031302 67, 031302 (2003).
19. M. Wyart, S. R. Nagel, and T. A. Witten, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2005-10245-5 72, 486 (2005).
20. R. C. Ball and R. Blumenfeld, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88.115505 88, 115505 (2002).
21. A. Tordesillas, S. D. C. Walsh, and B. S. Gardiner, BIT BITTEL 0006-3835 10.1023/B:BITN.0000046817.60322.ed 44, 539 (2004).
22. A. V. Tkachenko and T. A. Witten, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.60.687 60, 687 (1999).
23. R. Blumenfeld, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93. 108301 93, 108301 (2004).
24. J.-P. Bouchaud, P. Claudin, M. Cates, and J. Wittmer, in Physics of Dry Granular Media, edited by, H. J. Hermann, J. P. Hovi, and, S. Luding, (Kluwer Academic, Boston, 1997).
25. J. E. S. Socolar, D. Schaeffer, and P. Claudin, Eur. Phys. J. E EPJSFH 1292-8941 10.1140/epje/i2002-10092-2 7, 353 (2002).
26. C. Goldenberg and I. Goldhirsch, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.89.084302 89, 084302 (2002).
27. K. Bräuer, M. Pfitzner, D. O. Krimer, M. Mayer, Y. Jiang, and M. Liu, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.74.061311 74, 061311 (2006).
28. R. W. Ogden, Non-Linear Elastic Deformations (Dover, Mineola, NY, 1984).
29. L. D. Landau and E. M. Lifshitz, Theory of Elasticity (Butterworth-Heineman, Oxford, 1997).
30. J. G. Simmonds and P. G. Warne, J. Elast. JELSAY 0374-3535 10.1007/BF00042426 34, 69 (1994).
31. E. T. Coon, D. P. Warne, and P. G. Warne, J. Elast. JELSAY 0374-3535 10.1007/s10659-004-4106-0 75, 197 (2004).
32. M. R. Lee, D. P. Warne, and P. G. Warne, Math. Mech. Solids MMESFP 1081-2865 9, 97 (2004).
33. A. J. M. Spencer, Continuumm Mechanics (Dover, Mineola, NY, 1980).
34. A. S. J. Suiker, R. de Borst, and C. S. Chang, Acta Mech. AMHCAP 0001-5970 10.1007/BF01261670 149, 161 (2001).
35. S. D. C. Walsh and A. Tordesillas, Granular Matter 6, 27 (2004). 1434-5021
36. J. Geng, Ph.D. thesis, Duke University, Durham, NC, 2003.
37. P. G. de Gennes, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.71. S374 71, S374 (1999).
38. B. A. DiDonna and T. C. Lubensky, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.72.066619 72, 066619 (2005).