A plasticity model with microstructure evolution for quasi-static granular flows

AIP Conference Proceedings

Volumn 1227, Issue , 2010, Pages 280-289

  Sun, Jin ^a   Sundaresan, Sankaran ^a  

^a Princeton University   (United States)

Author keywords

Constitutive modeling; Dense granular flows; Discrete element method

Indexed keywords

EID: 77954633905     PISSN: 0094243X     EISSN: 15517616     Source Type: Conference Proceeding    
DOI: 10.1063/1.3435398     Document Type: Conference Paper

References (48)

1. S. Sundaresan, Powder Technology 115, 2-7 (2001).
2. R. Hill, The Mathematical Theory of plasticity, Oxford University Press, Oxford, 1950.
3. R. M. Nedderman, Statics and Kinematics of Granular Materials, Cambridge University Press, 1992.
4. S. B. Savage, Mechanics of granular materials: new models and constitutive relations, Elsevier Ltd, 1983, chap. Granular flow down rough inclines-review and extension.
5. D. G. Schaeffer, Journal of Differential Equations 66, 19-50 (1987).
6. A. Schofield, and P.Wroth, Critical State Soil Mechanics, McGraw-Hill Inc., 1968.
7. M. Oda, J. Konishi, and S. Nemat-Nasser, Géotechnique (1980).
8. G. Subhash, S. Nemat-Nasser, M. M. Mehrabadi, and H. M. Shodj, Mechanics of Materials 11, 87-106 (1991).
9. F. Gadala-Maria, and A. Acrivos, Journal of Rheology 24, 799-814 (1980).
10. J. H. Prevost, Soil Dynamics and Earthquake Engineering 4, 9-17 (1985).
11. S. Nemat-Nasser, Journal of the Mechanics and Physics of Solids 48, 1541-1563 (2000).
12. S. Nemat-Nasser, and J. Zhang, International Journal of Plasticity 18, 531-547 (2002).
13. C. Song, P. Wang, and H. A. Makse, Nature 453, 629-632 (2008).
14. R. Kuwano, and R. J. Jardine, Géotechnique 52, 727-749 (2002).
15. J. J. Stickel, R. J. Phillips, and R. L. Powell, Journal of Rheology 50, 379-413 (2006).
16. J. J. Stickel, R. J. Phillips, and R. L. Powell, Journal of Rheology 51, 1271-1302 (2007).
17. S. Plimpton, Journal of Computational Physics 117, 1-19 (1995/3/1).
18. L. E. Silbert, D. Ertas, G. S. Grest, T. C. Halsey, D. Levine, and S. J. Plimpton, Physical Review E 64, 051302 (2001).
19. L. E. Silbert, G. S. Grest, R. Brewster, and A. J. Levine, Physical Review Letters 99, 068002-4 (2007).
20. C. H. Rycroft, K. Kamrin, and M. Z. Bazant, Journal of the Mechanics and Physics of Solids 57, 828-839 (2009/5).
21. A. W. Lees, and S. F. Edwards, Journal of Physics C: Solid State Physics 5, 1921-1928 (1972).
22. D. J. Evans, and G. P. Morriss, Statistical Mechanics of Nonequilibrium Liquids, Academic Press, San Diego, 1990.
23. G. D. R. MiDi, European Physical Journal E - Soft Matter 14, 341-305 (2004).
24. J. Goddard, Acta Mechanica 63, 3-13 (1986).
25. F. da Cruz, S. Emam, M. Prochnow, J.-N. Roux, and F. Chevoir, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 72, 021309-17 (2005).
26. L. Aarons, and S. Sundaresan, Powder Technology 169, 10-21 (2006).
27. M. Toiya, J. Stambaugh, and W. Losert, Physical Review Letters 93, 088001-4 (2004).
28. H. P. Zhang, and H. A. Makse, Physical Review E (Statistical, Nonlinear, and Soft Matter Physics) 72, 011301-12 (2005).
29. C. S. O'Hern, L. E. Silbert, A. J. Liu, and S. R. Nagel, Physical Review E 68 (2003).
30. R. J. Bathurst, and L. Rothenburg, Mechanics of Materials 9, 65-80 (1990).
31. F. Radjai, D. E. Wolf, M. Jean, and J.-J. Moreau, Physical Review Letters 80 (1998).
32. J. D. Goddard, Physics of dry granular media, Kluwer, 1998.
33. J. D. Goddard, Journal of Non-Newtonian Fluid Mechanics 14, 141-160 (1984).
34. J. D. Goddard, Journal of Fluid Mechanics 568, 1-17 (2006).
35. S. C. Cowin, Mechanics of Materials 4, 137-147 (1985).
36. G. L. Hand, Journal of Fluid Mechanics 13, 33-46 (1962).
37. P. Jop, Y. Forterre, and O. Pouliquen, Nature 441, 727-730 (2006).
38. H. A. Makse, D. L. Johnson, and L. M. Schwartz, Phys. Rev. Lett. 84, 4160-4163 (2000).
39. S. C. Cowin, Journal of Applied Mechanics 44, 409-412 (1977).
40. N. P. Kruyt, Journal of Applied Mechanics 57, 1032-1035 (1990).
41. S. B. Savage, Journal of Fluid Mechanics 377, 1-26 (1998).
42. A. Srivastava, and S. Sundaresan, Powder Technology 129, 72-85 (2003).
43. C. Truesdell, and W. Noll, The Non-Lindear Field Theories of Mechanics, Springer, 2004, 3rd edn.
44. J. D. Goddard, and A. K. Didwania, The Quarterly Journal of Mechanics & Applied mathematics 51, 15-41 (1998).
45. T. L. Youd, Highway Research Record 374, 1-6 (1971).
46. D. Wood, and M. Budhu, Soilds under Cyclic and Transient Loading, Balkema, Rotterdam, The Netherlands, 1980, chap. The behaviour of Leighton Buzzard sand in cyclic simple shear tests, p. 9.
47. O. Reynolds, Philosophical Magazine 20, 469-481 (1885).
48. N. Okada, and N.-N. S., Géotechnique 44, 1-19 (1994).