A sequence of physical processes determined and quantified in LAOS: An instantaneous local 2D/3D approach

Journal of Rheology

Volumn 56, Issue 5, 2012, Pages 1129-1151

  Rogers, Simon A ^a  

^a FORSCHUNGSZENTRUM JÜLICH   (Germany)

Author keywords

Bingham; Dynamic moduli; Giesekus; Herschel Bulkley; LAOS; SPP

Indexed keywords

BINGHAM; DYNAMIC MODULI; GIESEKUS; HERSCHEL-BULKLEY; LAOS; SPP;

CONDENSED MATTER PHYSICS; VISCOSITY;

STRAIN RATE;

EID: 84864347442     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.4726083     Document Type: Article

References (37)

1. Bingham, E. C., An investigation of the laws of plastic flow., Bur. Stand. (U.S.), Bull. 13, 309-353 (1916).
2. Bird, R., R. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids: Volume 1 Fluid Mechanics (Wiley, New York, 1987).
3. Cho, K. S., K. Hyun, K. H. Ahn, and S. J. Lee, A geometrical interpretation of large amplitude oscillatory shear response., J. Rheol. 49 (3), 747-758 (2005). 10.1122/1.1895801 (Pubitemid 43126815)
4. Cho, K. S., K.-W. Song, and G.-S. Chang, Scaling relations in nonlinear viscoelastic behavior of aqueous PEO solutions under large amplitude oscillatory shear flow., J. Rheol. 54 (1), 27-63 (2010). 10.1122/1.3258278
5. Dodge, J. S., and I. M. Krieger, Oscillatory shear of nonlinear fluids I. Preliminary investigation., Trans. Soc. Rheol. 15, 589-601 (1971). 10.1122/1.549236
6. Erwin, B. M., M. Cloitre, M. Gauthier, and D. Vlassopoulos, Dynamics and rheology of colloidal star polymers., Soft Matter 6, 2825-2833 (2010). 10.1039/b926526k
7. Ewoldt, R., A. Hosoi, and G. McKinley, New measures for characterizing nonlinear viscoelasticity in large amplitude oscillatory shear., J. Rheol. 52 (6), 1427-1458 (2008). 10.1122/1.2970095
8. Ewoldt, R. H., P. Winter, J. Maxey, and G. H. McKinley, Large amplitude oscillatory shear of pseudoplastic and elastoviscoplastic materials., Rheol. Acta 49, 191-212 (2010). 10.1007/s00397-009-0403-7
9. Giacomin, A. J., R. B. Bird, L. M. Johnson, and A. W. Mix, Large amplitude oscillatory shear flow from the corotational Maxwell model., J. Non-Newtonian Fluid Mech. 166, (19-20), 1081-1099 (2011). 10.1016/j.jnnfm.2011. 04.002
10. Harris, J., and K. Bogie, The experimental analysis of non-linear waves in mechanical systems., Rheol. Acta 6 (1), 3-5 (1967). 10.1007/BF01968375
11. Helgeson, M. E., N. J. Wagner, and D. Vlassopoulos, Viscoelasticity and shear melting of colloidal star polymer glasses., J. Rheol. 51 (2), 297-316 (2007). 10.1122/1.2433935 (Pubitemid 46363147)
12. Herschel, W. H., and R. Bulkley, Konsistenzmessungen von gummi-benzollösungen., Kolloid-Z. 39 (4), 291-300 (1926). 10.1007/BF01432034
13. Höhler, R., and S. Cohen-Addad, Rheology of liquid foam., J. Phys.: Condens. Matter 17, R1041-R1069 (2005). 10.1088/0953-8984/17/41/R01 (Pubitemid 41415237)
14. Hyun, K., and M. Wilhelm, Establishing a new mechanical nonlinear coefficient Q from FT-rheology: First investigation of entangled linear and comb polymer model systems., Macromolecules 42, 411-422 (2009). 10.1021/ma8017266
15. Hyun, K., M. Wilhelm, C. O. Klein, K. S. Cho, J. G. Nam, K. H. Ahn, S. J. Lee, R. H. Ewoldt, and G. H. McKinley, A review of nonlinear oscillatory shear tests: Analysis and application of large amplitude oscillatory shear (LAOS)., Prog. Polym. Sci. 36 (12), 1697-1753 (2011). 10.1016/j.progpolymsci.2011.02.002
16. Hyun, K., S. H. Kim, K. H. Ahn, and S. J. Lee, Large amplitude oscillatory shear as a way to classify fluids., J. Non-Newtonian Fluid Mech. 107, 51-65 (2002). 10.1016/S0377-0257(02)00141-6 (Pubitemid 35409802)
17. Klein, C., H. W. Spiess, A. Calin, C. Balan, and M. Wilhelm, Separation of the nonlinear oscillatory response into a superposition of linear, strain hardening, strain softening and wall slip response., Macromolecules 40, 4250-4259 (2007). 10.1021/ma062441u (Pubitemid 47012581)
18. Larson, R. G., The Structure and Rheology of Complex Fluids (Oxford University Press, New York, 1999).
19. Mason, T. G., J. Bibette, and D. A. Weitz, Yielding and flow of monodisperse emulsions., J. Colloid Interface Sci. 179, 439-448 (1996). 10.1006/jcis.1996.0235 (Pubitemid 26188470)
20. Mewis, J., and N. J. Wagner, Thixotropy., Adv. Colloid Interface Sci. 147-148, 214-227 (2009). 10.1016/j.cis.2008.09.005
21. Miyazaki, K., H. Wyss, D. A. Weitz, and D. Reichman, Nonlinear viscoelasticity of metastable complex fluids., Europhys. Lett. 75 (6), 915-921 (2006). 10.1209/epl/i2006-10203-9 (Pubitemid 44478823)
22. Mujumdar, A., A. N. Beris, and A. B. Metzner, Transient phenomena in thixotropic systems., J. Non-Newtonian Fluid Mech. 102, 157-178 (2002). 10.1016/S0377-0257(01)00176-8 (Pubitemid 34175950)
23. Ostwald, V. W., Ueber die rechnerische darstellung des strukturgebietes der viskosität., Kolloid-Z. 47 (2), 176-187 (1929). 10.1007/BF01496959
24. Petekidis, G., D. Vlassopoulos, and P. N. Pusey, Yielding and flow of colloidal glasses., Faraday Discuss. 123, 287-302 (2003). 10.1039/b207343a (Pubitemid 38328319)
25. Philippoff, W., Vibrational measurements with large amplitudes., Trans. Soc. Rheol. 10, 317-334 (1966). 10.1122/1.549049
26. Renou, F., J. Stellbrink, and G. Petekidis, Yielding processes in a colloidal glass of soft star-like micelles under large amplitude oscillatory shear (LAOS)., J. Rheol. 54 (6), 1219-1242 (2010). 10.1122/1.3483610
27. Rogers, S. A., B. M. Erwin, D. Vlassopoulos, and M. Cloitre, A sequence of physical processes determined and quantified in LAOS: Application to a yield stress fluid., J. Rheol. 55 (2), 435-458 (2011a). 10.1122/1.3544591
28. Rogers, S. A., B. M. Erwin, D. Vlassopoulos, and M. Cloitre, Oscillatory yielding of a colloidal star glass., J. Rheol. 55 (4), 733-752 (2011b). 10.1122/1.3579161
29. Rogers, S., and D. Vlassopoulos, Frieze group analysis of asymmetric response to large amplitude oscillatory shear., J. Rheol. 54 (4), 859-880 (2010). 10.1122/1.3445064
30. Rogers, S. A., and M. P. Lettinga, A sequence of physical processes determined and quantified in LAOS: Application to theoretical nonlinear models., J. Rheol. 56 (1), 1-25 (2012). 10.1122/1.3662962
31. Rouyer, F., S. Cohen-Addad, and R. Höhler, Is the yield stress of aqueous foam a well-defined quantity?, Colloids Surf., A 263, 111-116 (2005). 10.1016/j.colsurfa.2005.01.025 (Pubitemid 40825201)
32. Saint-Jalmes, A., and D. J. Durian, Vanishing elasticity for wet foams: Equivalence with emulsions and role of polydispersity., J. Rheol. 43 (6), 1411-1422 (1999). 10.1122/1.551052
33. Tee, T. T., and J. M. Dealy, Nonlinear viscoelasticity of polymer melts., J. Rheol. 19, 595-615 (1975). 10.1122/1.549387
34. Wang, S.-Q., A coherent description of nonlinear flow behavior of entangled polymers as related to processing and numerical simulations., Macromol. Mater. Eng. 292, 15-22 (2007). 10.1002/mame.200600351 (Pubitemid 46931507)
35. Wilhelm, M., Fourier-transform rheology., Macromol. Mater. Eng. 287, 83-105 (2002). 10.1002/1439-2054(20020201)287:2<83::AID-MAME83>3.0.CO;2-B
36. Yoshimura, A. S., and R. K. Prudhomme, Response of an elastic Bingham fluid to oscillatory shear., Rheol. Acta 26 (5), 428-436 (1987). 10.1007/BF01333843
37. Yu, W., P. Weng, and C. Zhou, General stress decomposition in nonlinear oscillatory shear flow., J. Rheol. 53 (1), 215-238 (2009). 10.1122/1.3037267