Discontinuous shear thickening without inertia in dense non-brownian suspensions

Physical Review Letters

Volumn 112, Issue 9, 2014, Pages

  Wyart, M ^a   Cates, M E ^b  

^a NEW YORK UNIVERSITY   (United States)

^b UNIVERSITY OF EDINBURGH   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

FRICTION; JAMMING; SHEAR FLOW; STRAIN RATE;

CONTACT FORMATION; DENSE SUSPENSION; FRICTIONAL CONTACT; INHOMOGENEITIES; LOWER DENSITY; LUBRICATION LAYER; SHEAR THICKENING; STRESS LEVELS;

SUSPENSIONS (FLUIDS);

EID: 84896337257     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.112.098302     Document Type: Article

References (44)

1. E. Brown and H. M. Jaeger, arXiv:1307.0269.
2. H. A. Barnes, J. Rheol. 33, 329 (1989). JORHD2 0148-6055 10.1122/1.550017 (Pubitemid 20648096)
3. P. Coussot and N. J. Wagner, Rheol. Acta 48, 827 (2009), and references therein. RHEAAK 0035-4511 10.1007/s00397-009-0380-x
4. R. D. Deegan, Phys. Rev. E 81, 036319 (2010) reports flow curve hysteresis in corn-starch suspensions (which show DST [11]); PLEEE8 1539-3755 10.1103/PhysRevE.81.036319
5. Such hysteresis is also reported for synthetic colloids in H. M. Laun, R. Bung and F. Schmidt, J. Rheol. 35, 999 (1991); JORHD2 0148-6055 10.1122/1.550257
6. J. Bender and N. J. Wagner, J. Rheol. 40, 899 (1996); JORHD2 0148-6055 10.1122/1.550767
7. W. J. Frith, P. d'Haene, R. Buscall, and J. Mewis, J. Rheol. 40, 531 (1996), albeit with particle diameters in the range 160-890 μ m for which Brownian effects cannot be ruled out. JORHD2 0148-6055 10.1122/1.550791
8. N. Fernandez, R. Mani, D. Rinaldi, D. Kadau, M. Mosquet, H. Lombois-Burger, J. Cayer-Barrioz, H. J. Herrmann, N. D. Spencer, and L. Isa, Phys. Rev. Lett. 111, 108301 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111. 108301
9. A. Fall, A. Lemaitre, F. Bertrand, D. Bonn, and G. Ovarlez, Phys. Rev. Lett. 105, 268303 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.268303
10. X. Cheng, J. H. McCoy, J. N. Israelachvili, and I. Cohen, Science 333, 1276 (2011). SCIEAS 0036-8075 10.1126/science.1207032
11. R. S. Farr, J. R. Melrose, and R. C. Ball, Phys. Rev. E 55, 7203 (1997). PLEEE8 1063-651X 10.1103/PhysRevE.55.7203
12. J. F. Brady and G. Bossis, Annu. Rev. Fluid Mech. 20, 111 (1988). ARVFA3 0066-4189 10.1146/annurev.fl.20.010188.000551
13. R. L. Hoffman, J. Colloid Interface Sci. 46, 491 (1974). JCISA5 0021-9797 10.1016/0021-9797(74)90059-9
14. E. Brown and H. M. Jaeger, Phys. Rev. Lett. 103, 086001 (2009). PRLTAO 0031-9007 10.1103/PhysRevLett.103.086001
15. E. Brown, N. A. Forman, C. S. Orellana, H. Zhang, B. W. Maynor, D. E. Betts, J. M. DeSimone, and H. M. Jaeger, Nat. Mater. 9, 220 (2010). NMAACR 1476-1122 10.1038/nmat2627
16. F. Boyer, E. Guazzelli, and O. Pouliquen, Phys. Rev. Lett. 107, 188301 (2011). PRLTAO 0031-9007 10.1103/PhysRevLett.107.188301
17. A. Lemaitre, J.-N. Roux, and F. Chevoir, Rheol. Acta 48, 925 (2009). RHEAAK 0035-4511 10.1007/s00397-009-0379-3
18. M. E. Cates, M. Haw, and C. Holmes, J. Phys. Condens. Matter 17, S2517 (2005). JCOMEL 0953-8984 10.1088/0953-8984/17/24/010 (Pubitemid 40871967)
19. R. Besseling, L. Isa, P. Ballesta, G. Petekidis, M. E. Cates, and W. C. K. Poon, Phys. Rev. Lett. 105, 268301 (2010). PRLTAO 0031-9007 10.1103/PhysRevLett.105.268301
20. B. Andreotti, Y. Forterre and O. Pouliquen, Granular Media: Between Fluid and Solid (Cambridge University Press, Cambridge, England, 2013).
21. W. B. Russel, D. A. Saville and W. R. Schowalter, Colloidal Dispersions (Cambridge University Press, Cambridge, England, 1989), p. 57.
22. C. Neto, D. R. Evans, E. Bonaccurso, H.-J. Butt, and V. J. S. Craig, Rep. Prog. Phys. 68, 2859 (2005). RPPHAG 0034-4885 10.1088/0034-4885/68/12/R05 (Pubitemid 41435120)
23. A. A. Catherall, J. R. Melrose, and R. C. Ball, J. Rheol. 44, 1 (2000). JORHD2 0148-6055 10.1122/1.551072
24. J. R. Melrose and R. C. Ball, Europhys. Lett. 32, 535 (1995). EULEEJ 0295-5075 10.1209/0295-5075/32/6/013
25. R. Seto, R. Mari, J. F. Morris, and M. M. Denn, Phys. Rev. Lett. 111, 218301 (2013). PRLTAO 0031-9007 10.1103/PhysRevLett.111.218301
26. P. Olsson and S. Teitel, Phys. Rev. Lett. 99, 178001 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.99.178001 (Pubitemid 350015151)
27. E. Lerner, G. Dring, and M. Wyart, Proc. Natl. Acad. Sci. U.S.A. 109, 4798 (2012). PNASA6 0027-8424 10.1073/pnas.1120215109
28. C. B. Holmes, M. E. Cates, M. Fuchs, and P. Sollich, J. Rheol. 49, 237 (2005). JORHD2 0148-6055 10.1122/1.1814114 (Pubitemid 43070923)
29. C. B. Holmes, M. Fuchs, and M. E. Cates, Europhys. Lett. 63, 240 (2003). EULEEJ 0295-5075 10.1209/epl/i2003-00465-1 (Pubitemid 36891822)
30. J. F. Morris and F. Boulay, J. Rheol. 43, 1213 (1999). JORHD2 0148-6055 10.1122/1.551021
31. P.-E. Peyneau, Ph.D. thesis, Ecole des Ponts ParisTech, 2009)
32. P.-E. Peyneau and J.-N. Roux, Phys. Rev. E 78, 011307 (2008). PLEEE8 1539-3755 10.1103/PhysRevE.78.011307
33. See Supplemental Material at http://link.aps.org/supplemental/10.1103/ PhysRevLett.112.098302 for a derivation of this result.
34. G. During, E. Lerner and M. Wyart, Soft Matter 9, 146 (2013); SMOABF 1744-683X 10.1039/c2sm25878a 30b G. During, E. Lerner and M. Wyart, arXiv:1308.3886.
35. E. Lerner, G. During, and M. Wyart, Europhys. Lett. 99, 58003 (2012). EULEEJ 0295-5075 10.1209/0295-5075/99/58003
36. N. P. Kruyt, C.R. Mécanique 338, 596 (2010). 1631-0721 10.1016/j.crme.2010.09.005
37. C. Grand, J. Arrault, and M. E. Cates, J. Phys. II (France) 7, 1071 (1997). JPAHER 1155-4312 10.1051/jp2:1997172
38. M. Trulsson, B. Andreotti, and P. Claudin, Phys. Rev. Lett. 109, 118305 (2012). PRLTAO 0031-9007 10.1103/PhysRevLett.109.118305
39. P. D. Olmsted, Rheol. Acta 47, 283 (2008). RHEAAK 0035-4511 10.1007/s00397-008-0260-9
40. F. da Cruz, Ph.D. thesis, Ecole des Ponts ParisTech, 2004
41. F. da Cruz, S. Emam, M. Prochnow, J.-N. Roux and F. Chevoir, Phys. Rev. E 72, 021309 (2005). PLEEE8 1539-3755 10.1103/PhysRevE.72.021309 (Pubitemid 41520970)
42. M. Otsuki and H. Hayakawa, Phys. Rev. E 83, 051301 (2011); PLEEE8 1539-3755 10.1103/PhysRevE.83.051301
43. C. Heussinger, Phys. Rev. E 88, 050201(R) (2013). PLEEE8 1539-3755 10.1103/PhysRevE.88.050201
44. R. C. Ball and J. R. Melrose, Adv. Colloid Interface Sci. 59, 19 (1995). ACISB9 0001-8686 10.1016/0001-8686(95)80003-L Transport Systems