Slow flows of yield stress fluids: Complex spatiotemporal behavior within a simple elastoplastic model

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

Volumn 71, Issue 1, 2005, Pages

  Picard, Guillemette ^a   Ajdari, Armand ^a   Lequeux, François ^b   Bocquet, Lydéric ^c  

^a Centre National de la Recherche Scientifique   (France)

^b Centre National de la Recherche Scientifique   (France)

^c UNIVERSITÉ LYON 1   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ELASTIC PERTURBATIONS; LINEAR ELASTICITY; SPATIOTEMPORAL BEHAVIOR; SPATIOTEMPORAL RHEOLOGY;

FLOW OF FLUIDS; GREEN'S FUNCTION; LINEARIZATION; MAXWELL EQUATIONS; PERTURBATION TECHNIQUES; RHEOLOGY; SHEAR STRESS; STRESS ANALYSIS;

ELASTOPLASTICITY;

EID: 45849155174     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.71.010501     Document Type: Article

References (24)

1. J. Lauridsen, G. Chanan, and M. Dennin, Phys. Rev. Lett. 93, 018303 (2004).
2. G. Debrégeas, H. Tabuteau, and J.-M. di Meglio, Phys. Rev. Lett. 87, 178305 (2001).
3. F. Da Cruz, F. Chevoir, D. Bonn, and P. Coussot, Phys. Rev. E 66, 051305 (2002).
4. W. Losert, L. Bocquet, T. C. Lubensky, and J. P. Gollub, Phys. Rev. Lett. 85, 1428 (2000).
5. P. Coussot et al., Phys. Rev. Lett. 88, 218301 (2002).
6. J.-B. Salmon, A. Colin, S. Manneville, and F. Molino, Phys. Rev. Lett. 90, 228303 (2003).
7. F. Pignon, A. Magnin, and J.-M. Piau, J. Rheol. 40, 573 (1996).
8. F. Varnik, L. Bocquet, J.-L. Barrat, and L. Berthier, Phys. Rev. Lett. 90, 095702 (2003).
9. A. Kabla and G. Debrégeas, Phys. Rev. Lett. 90, 258303 (2003).
10. V. V. Bulatov and A. S. Argon, Modell. Simul. Mater. Sci. Eng. 2, 167 (1994).
11. M. L. Falk and J. S. Langer, Phys. Rev. E 57, 7192 (1998).
12. L. Berthier, J.-L. Barrat, and J. Kurchan, Phys. Rev. E 61, 5464 (2000).
13. J. C. Baret, D. Vandembroucq, and S. Roux, Phys. Rev. Lett. 89, 195506 (2002).
14. A. Lemaître, Phys. Rev. Lett. 89, 195503 (2002).
15. J. S. Langer, Phys. Rev. E 64, 011504 (2001).
16. C. Maloney and A. Lemaître, Phys. Rev. Lett. 93, 016001 (2004).
17. H. M. Princen, J. Colloid Interface Sci. 91, 160 (1983).
18. G. Picard, A. Ajdari, F. Lequeux, and L. Bocquet, Eur. Phys. J. E 15, 371 (2004).
19. J. D. Eshelby, Proc. R. Soc. London, Ser. A 241, 376 (1957).
20. K. Chen, P. Bak, and S. P. Obukhov, Phys. Rev. A 43, 625 (1991).
21. M. Cloître, R. Borrega, F. Monti, and L. Leibler, Phys. Rev. Lett 90, 068303 (2003).
22. L. Berthier, Phys. Rev. Lett. 91, 055701 (2004).
23. Stress drops can be identified for a given duration of the time intervals δt: they start when the global stress decreases over a &-long-time interval and ends at the first subsequent increase over an interval. We chose δt=0.01τ and checked that results plotted in Fig. 3 are robust with respect to variations of δt.
24. G. D. R. Midi, Eur. Phys. J. E 14, 341 (2004).