Is shear banding a metastable property of well-entangled polymer solutions?

Journal of Rheology

Volumn 56, Issue 6, 2012, Pages 1413-1428

  Cheng, Shiwang ^a   Wang, Shi Qing ^a  

^a The University of Akron   (United States)

Author keywords

Constitutive equation; Oscillatory shear; Shear banding; Startup shear; Strain localization; Yielding

Indexed keywords

CHAIN RELAXATION; LARGE AMPLITUDE OSCILLATORY SHEAR; LARGE DEFORMATIONS; NON-LINEAR RESPONSE; OSCILLATORY SHEAR; RELAXATION RATES; SHEAR BANDING; SIMPLE SHEAR; STRAIN LOCALIZATIONS; YIELDING;

CONDENSED MATTER PHYSICS; CONSTITUTIVE EQUATIONS; VISCOSITY;

QUANTUM ENTANGLEMENT;

EID: 84866996864     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.4740264     Document Type: Article

References (46)

1. Adams, J. M., S. M. Fielding, and P. D. Olmsted, Transient shear banding in entangled polymers: A study using the Rolie-Poly model., J. Rheol. 55, 1007-1032 (2011). 10.1122/1.3610169
2. Bécu, L., S. Manneville, and A. Colin, Spatiotemporal dynamics of wormlike micelles under shear., Phys. Rev. Lett. 93, 018301 (2004). 10.1103/PhysRevLett.93.018301
3. Berret, J. F., Rheology of wormlike micelles: Equilibrium properties and shear banding transition., in Molecular gels, edited by, R. G. Weiss, and, P. Terech, (Springer, Netherlands, 2006), Chap., pp. 667-720.
4. Boukany, P. E., and S. Q. Wang, Shear banding or not in entangled DNA solutions., Macromolecules 43, 6950-6952 (2010). 10.1021/ma101267b
5. Britton, M. M., and P. T. Callaghan, Two-phase shear band structures at uniform stress., Phys. Rev. Lett. 78, 4930-4933 (1997a). 10.1103/PhysRevLett.78. 4930
6. Britton, M. M., and P. T. Callaghan, Nuclear magnetic resonance visualization of anomalous flow in cone-and-plate rheometry., J. Rheol. 41, 1365-1386 (1997b). 10.1122/1.550846
7. Britton, M. M., R. W. Mair, R. K. Lambert, and P. T. Callaghan, Transition to shear banding in pipe and Couette flow of wormlike micellar solutions., J. Rheol. 43, 897-909 (1999). 10.1122/1.551008
8. Cappelaere, E., J. F. Berret, J. P. Decruppe, R. Cressely, and P. Lindner, Rheology, birefringence, and small-angle neutron scattering in a charged micellar system: Evidence of a shear-induced phase transition., Phys. Rev. E 56, 1869-1878 (1997). 10.1103/PhysRevE.56.1869
9. Cates, M. E., and S. M. Fielding, Rheology of giant micelles., Adv. Phys. 55, 799-879 (2006). 10.1080/00018730601082029
10. Doi, M., and S. F. Edwards, Dynamics of concentrated polymer systems. Part 1.-Brownian motion in the equilibrium state., J. Chem. Soc., Faraday Trans. 2 74, 1789-1801 (1978a). 10.1039/f29787401789
11. Doi, M., and S. F. Edwards, Dynamics of concentrated polymer systems. Part 2.-Molecular motion under flow., J. Chem. Soc., Faraday Trans. 2 74, 1802-1817 (1978b). 10.1039/f29787401802
12. Doi, M., and S. F. Edwards, Dynamics of concentrated polymer systems. Part 3.-The constitutive equation., J. Chem. Soc., Faraday Trans. 2 74, 1818-1832 (1978c). 10.1039/f29787401818
13. Doi, M., and S. F. Edwards, Dynamics of concentrated polymer systems. Part 4.-Rheological properties., J. Chem. Soc., Faraday Trans. 2 75, 38-54 (1979). 10.1039/f29797500038
14. Doi, M., and S. F. Edwards, The Theory of Polymer Dynamics, 2nd ed. (Clarendon, Oxford, 1988).
15. Ferry, J. D., Viscoelastic Properties of Polymers, 3rd ed. (Wiley, New York, 1980).
16. Fetters, L. J., D. J. Lohse, D. Richter, T. A. Witten, and A. Zirkel, Connection between polymer molecular weight, density, chain dimensions, and melt viscoelastic properties., Macromolecules 27, 4639-4647 (1994). 10.1021/ma00095a001
17. Fielding, S. M., Linear instability of planar shear banded flow., Phys. Rev. Lett. 95, 134501 (2005). 10.1103/PhysRevLett.95.134501
18. Fielding, S. M., and P. D. Olmsted, Nonlinear dynamics of an interface between shear bands., Phys. Rev. Lett. 96, 104502 (2006). 10.1103/PhysRevLett. 96.104502
19. Graessley, W. W., The Entanglement Concept in Polymer Rheology., Adv. Polym. Sci. 16, 1-179 (1974). 10.1007/BFb0031037
20. Graham, R. S., A. E. Likhtman, T. C. B. McLeish, and S. T. Milner, Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint release., J. Rheol. 47, 1171-1200 (2003). 10.1122/1.1595099
21. Hu, Y. T., Steady-state shear banding in entangled polymers?, J. Rheol. 54, 1307-1323 (2010). 10.1122/1.3494134
22. Hu, Y. T., Response to: CPP vs circular couette., J. Rheol. 56, 683-686 (2012). 10.1122/1.4708566
23. Hu, Y. T., L. Wilen, A. Philips, and A. Lips, Is the constitutive relation for entangled polymers monotonic?, J. Rheol. 51, 275-295 (2007). 10.1122/1.2433701
24. Li, X., S. Q. Wang, and X. Wang, Nonlinearity in large amplitude oscillatory shear (LAOS) of different viscoelastic materials., J. Rheol. 53, 1255-1274 (2009). 10.1122/1.3193713
25. Manneville, S., Recent experimental probes of shear banding., Rheol. Acta 47, 301-318 (2008). 10.1007/s00397-007-0246-z
26. McLeish, T. C. B., Tube theory of entangled polymer dynamics., Adv. Phys. 51, 1379-1527 (2002). 10.1080/00018730210153216
27. Munstedt, H., S. Kurzbeck, and L. Egersdorfer, Influence of molecular structure on rheological properties of polyethylenes Part II. Elongational behavior., Rheol. Acta 37, 21-29 (1998). 10.1007/s003970050087
28. Murthy, A. V. R., Flow instabilities in a capillary rheometer for an elastic polymer solution., Trans. Soc. Rheol. 18, 431-452 (1974). 10.1122/1.549342
29. Olmsted, P., Perspectives on shear banding in complex fluids., Rheol. Acta 47, 283-300 (2008). 10.1007/s00397-008-0260-9
30. Olmsted, P. D., O. Radulescu, and C. Y. D. Lu, Johnson-Segalman model with a diffusion term in cylindrical Couette flow., J. Rheol. 44, 257-275 (2000). 10.1122/1.551085
31. Radulescu, O., and P. D. Olmsted, Matched asymptotic solutions for the steady banded flow of the diffusive Johnson-Segalman model in various geometries., J. Non-Newtonian Fluid Mech. 91, 143-164 (2000). 10.1016/S0377-0257(99)00093-2
32. Radulescu, O., P. D. Olmsted, and C. Y. D. Lu, Shear banding in reaction-diffusion models., Rheol. Acta 38, 606-613 (1999). 10.1007/ s003970050211
33. Ravindranath, S., and S. Q. Wang, What are the origins of stress relaxation behaviors in step shear of entangled polymer solutions?, Macromolecules 40, 8031-8039 (2007). 10.1021/ma071495g
34. Ravindranath, S., and S. Q. Wang, Large amplitude oscillatory shear behavior of entangled polymer solutions: Particle tracking velocimetric investigation., J. Rheol. 52, 341-358 (2008a). 10.1122/1.2833453
35. Ravindranath, S., and S. Q. Wang, Steady state measurements in stress plateau region of entangled polymer solutions: Controlled-rate and controlled-stress modes., J. Rheol. 52, 957-980 (2008b). 10.1122/1.2936869
36. Ravindranath, S., S. Q. Wang, M. Olechnowicz, and R. P. Quirk, Banding in simple steady shear of entangled polymer solutions., Macromolecules 41, 2663-2670 (2008). 10.1021/ma7027352
37. Ravindranath, S., Y. Wang, P. Boukany, and X. Li, Letter to the editor: Cone partitioned plate (CPP) vs circular couette., J. Rheol. 56, 675-681 (2012). 10.1122/1.4708515
38. Salmon, J.-B., A. Colin, S. Manneville, and F. Molino, Velocity profiles in shear-banding wormlike micelles., Phys. Rev. Lett. 90, 228303 (2003a). 10.1103/PhysRevLett.90.228303
39. Salmon, J.-B., S. Manneville, and A. Colin, Shear banding in a lyotropic lamellar phase. I. Time-averaged velocity profiles., Phys. Rev. E 68, 051503 (2003b). 10.1103/PhysRevE.68.051503
40. Schwetz, M., H. Munstedt, M. Heindl, and A. Merten, Investigations on the temperature dependence of the die entrance flow of various long-chain branched polyethylenes using laser-Doppler velocimetry., J. Rheol. 46, 797-815 (2002). 10.1122/1.1479352
41. Spenley, N. A., M. E. Cates, and T. C. B. McLeish, Nonlinear rheology of wormlike micelles., Phys. Rev. Lett. 71, 939-942 (1993). 10.1103/PhysRevLett.71. 939
42. Tapadia, P., and S. Q. Wang, Direct visualization of continuous simple shear in non-Newtonian polymeric fluids., Phys. Rev. Lett. 96, 016001 (2006). 10.1103/PhysRevLett.96.016001
43. Tordella, J. P., Capillary flow of molten polyethylene-A photographic study of melt fracture., Trans. Soc. Rheol. 1, 203-212 (1957). 10.1122/1.548816
44. Wang, S. Q., S. Ravindranath, and P. E. Boukany, Homogeneous shear, wall slip, and shear banding of entangled polymeric liquids in simple-shear rheometry: A roadmap of nonlinear rheology., Macromolecules 44, 183-190 (2011). 10.1021/ma101223q
45. Wang, S. Q., S. Ravindranath, Y. Wang, and P. Boukany, New theoretical considerations in polymer rheology: Elastic breakdown of chain entanglement network., J. Chem. Phys. 127, 064903 (2007). 10.1063/1.2753156
46. Wang, Y., and S. Q. Wang, Exploring stress overshoot phenomenon upon startup deformation of entangled linear polymeric liquids., J. Rheol. 53, 1389-1401 (2009). 10.1122/1.3208063