Discrete rearranging disordered patterns: Prediction of elastic and plastic behavior, and application to two-dimensional foams

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

Volumn 81, Issue 3, 2010, Pages

  Raufaste, C ^a,b,e   Cox, S J ^c   Marmottant, P ^a   Graner, F ^a,d  

^a LIPHY   (France)

^b UNIVERSITY OF OSLO   (Norway)

^c ABERYSTWYTH UNIVERSITY   (United Kingdom)

^d INSTITUT CURIE   (France)

^e UNIVERSITÉ CÔTE D'AZUR   (France)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL EQUATIONS; SHEAR FLOW; SHEAR STRESS;

CONTINUOUS MEDIUM; ELASTIC AND PLASTIC BEHAVIORS; ELASTOPLASTIC BEHAVIOR; INDIVIDUAL OBJECTS; MODEL MATERIALS; STATISTICAL QUANTITY; TWO-DIMENSIONAL FOAMS; VELOCITY GRADIENTS;

SHEAR STRAIN;

EID: 77950393300     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.81.031404     Document Type: Article

References (35)

1. F. Graner, B. Dollet, C. Raufaste, and P. Marmottant, Eur. Phys. J. E 25, 349 (2008). 10.1140/epje/i2007-10298-8
2. D. Kolymbas and I. Herle, Int. J. Numer. Analyt. Meth. Geomech. 27, 733 (2003). 10.1002/nag.297
3. R. G. Larson, The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999).
4. N. Xu and C. S. O'Hern, Phys. Rev. E 73, 061303 (2006). 10.1103/PhysRevE.73.061303
5. S. T. Lahtinen, Acta Aliment. 17, 219 (1988).
6. S. A. Khan, C. A. Schnepper, and R. C. Armstrong, J. Rheol. 32, 69 (1988). 10.1122/1.549964
7. T. Okuzono and K. Kawasaki, Phys. Rev. E 51, 1246 (1995). 10.1103/PhysRevE.51.1246
8. A. Kabla and G. Debregeas, J. Fluid Mech. 587, 23 (2007). 10.1017/S0022112007007264
9. D. Weaire, R. J. Clancy, and S. Hutzler, e-print arXiv:0907.1624.
10. J. Lauridsen, G. Chanan, and M. Dennin, Phys. Rev. Lett. 93, 018303 (2004). 10.1103/PhysRevLett.93.018303
11. A. Abd el Kader and J. C. Earnshaw, Phys. Rev. Lett. 82, 2610 (1999). 10.1103/PhysRevLett.82.2610
12. G. Debrégeas, H. Tabuteau, and J.-M. di Meglio, Phys. Rev. Lett. 87, 178305 (2001). 10.1103/PhysRevLett.87.178305
13. J. Lauridsen, M. Twardos, and M. Dennin, Phys. Rev. Lett. 89, 098303 (2002). 10.1103/PhysRevLett.89.098303
14. E. Pratt and M. Dennin, Phys. Rev. E 67, 051402 (2003). 10.1103/PhysRevE.67.051402
15. E. Janiaud and F. Graner, J. Fluid Mech. 532, 243 (2005). 10.1017/S0022112005004052
16. Y. Wang, K. Krishan, and M. Dennin, Phys. Rev. E 73, 031401 (2006). 10.1103/PhysRevE.73.031401
17. E. Janiaud, D. Weaire, and S. Hutzler, Phys. Rev. Lett. 97, 038302 (2006). 10.1103/PhysRevLett.97.038302
18. I. Cheddadi, P. Saramito, C. Raufaste, P. Marmottant, and F. Graner, Eur. Phys. J. E 27, 123 (2008). 10.1140/epje/i2008-10358-7
19. D. Weaire and S. Hutzler, The Physics of Foams (Oxford University Press, Oxford, 1999).
20. A. Saint-Jalmes and D. J. Durian, J. Rheol. 43, 1411 (1999). 10.1122/1.551052
21. R. Höhler and S. Cohen-Addad, J. Phys.: Condens. Matter 17, R1041 (2005). 10.1088/0953-8984/17/41/R01
22. C. Raufaste, S. Cox, B. Dollet, F. Graner, and Y. Jiang, Eur. Phys. J. E 23, 217 (2007). 10.1140/epje/i2006-10178-9
23. K. Brakke, Exp. Math. 1, 141 (1992).
24. K. Brakke, 200,000,000 Random Voronoi Polygons, www.susqu.edu/brakke/ papers/voronoi.htm (unpublished).
25. C. Quilliet, S. Ataei Talebi, D. Rabaud, J. Käfer, S. J. Cox, and F. Graner, Philos. Mag. Lett. 88, 651 (2008). 10.1080/09500830802334249
26. G. K. Batchelor, J. Fluid Mech. 41, 545 (1970). 10.1017/S0022112070000745
27. S. J. Cox and E. L. Whittick, Eur. Phys. J. E 21, 49 (2006). 10.1140/epje/i2006-10044-x
28. M. Asipauskas, M. Aubouy, J. A. Glazier, F. Graner, and Y. Jiang, Granular Matter 5, 71 (2003). 10.1007/s10035-003-0127-9
29. P. Marmottant, C. Raufaste, and F. Graner, Eur. Phys. J. E 25, 371 (2008). 10.1140/epje/i2007-10300-7
30. R. Hill, The Mathematical Theory of Plasticity (Clarendon, Oxford, 1950).
31. P. Marmottant and F. Graner, Eur. Phys. J. E 23, 337 (2007). 10.1140/epje/i2006-10193-x
32. P. Saramito, J. Non-Newtonian Fluid Mech. 145, 1 (2007). 10.1016/j.jnnfm.2007.04.004
33. V. Labiausse, R. Höhler, and S. Cohen-Addad, J. Rheol. 51, 479 (2007). 10.1122/1.2715392
34. C. Raufaste, Ph.D. thesis, Université Grenoble I, 2007 (http://tel.archives-ouvertes.fr/tel-00193248/en/).
35. A. M. Kraynik, D. A. Reinelt, and F. van Swol, Phys. Rev. E 67, 031403 (2003). 10.1103/PhysRevE.67.031403