How polymeric solvents control shear inhomogeneity in large deformations of entangled polymer mixtures

Rheologica Acta

Volumn 50, Issue 2, 2011, Pages 97-105

  Ravindranath, Sham ^a   Wang, Shi Qing ^a   Olechnowicz, M ^a   Chavan, V S ^a   Quirk, R P ^a  

^a University of Akron   (United States)

Author keywords

Elastic yielding; Entangled polymer solutions; Nonlinear rheology; Shear inhomogeneity; Wall slip

Indexed keywords

EID: 79955394604     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-010-0507-0     Document Type: Article

References (53)

1. Adrian DW, Giacomin AJ (1992) The quasi-periodic nature of a polyurethane melt in oscillatory shear. J Rheol 36: 1227-1243.
2. Archer LA, Chen YL, Larson RG (1995) Delayed slip after step strains in highly entangled polystyrene mixtures. J Rheol 39: 519-525.
3. Archer LA, Sanchez-Reyes J, Juliani (2002) Relaxation dynamics of polymer liquids in nonlinear step strain. Macromolecules 35: 10216-10224.
4. Boukany PE, Wang SQ (2007) A correlation between velocity profile and molecular weight distribution in sheared entangled polymer mixtures. J Rheol 51: 217-233.
5. Boukany PE, Wang SQ (2009a) Shear banding or not in entangled DNA mixtures depending on the level of entanglement. J Rheol 53: 73-83.
6. Boukany PE, Wang SQ, Wang XR (2009b) Step strain of entangled linear polymer melts: new experimental evidence for elastic yielding. Macromolecules 42: 6261-6269.
7. Cho KS, Hyun K, Ahn KH, Lee SJ (2005) A geometrical interpretation of large amplitude oscillatory shear response. J Rheol 49: 747-758.
8. Clemeur N, Rutgers RPG, Debbaut B (2003) On the evaluation of some differential formulations for the pom-pom constitutive model. Rheol Acta 42: 217-231.
9. Debbaut B, Burhin H (2002) Large amplitude oscillatory shear and Fourier-transform rheology for a high density polyethylene: experiments and numerical simulation. J Rheol 46: 1155-1176.
10. Dusschoten DV, Wilhelm M, Spiess HW (2001) Two-dimensional Fourier transform rheology. J Rheol 45: 1319-1339.
11. Einaga Y, Osaki K, Kurata M, Kimura S, Tamura M (1971) Stress relaxation of polymer mixtures under large strain. J Polym 2: 550-552.
12. Ewoldt RH, Hosoi AW, McKinley GH (2009) New measures for characterizing nonlinear viscoelasticity in large amplitude oscillatory shear. J Rheol 52: 1427-1458.
13. Fukuda M, Osaki K, Kurata M (1975) Nonlinear viscoelasticity of polystyrene mixtures. I. Strain-dependent relaxation modulus. J Polym Sci, Polym Phys Ed 13: 1563-1576.
14. Giacomin AJ, Oakley JG (1992) Structural network models for molten plastics evaluated in large-amplitude oscillatory shear. J Rheol 36: 1529-1546.
15. Giacomin AJ, Jeyaseelan RS, Samurkas T, Dealy JM (1993) Validity of separable BKZ model for large amplitude oscillatory shear. J Rheol 37: 811-826.
16. Graessley WW (2008) Polymeric liquids and networks: dynamics and rheology. Garland, London.
17. Hu YT, Wilen L, Philips A, Lips A (2007) Is the constitutive relation for entangled polymers monotonic? J Rheol 51: 275-295.
18. Islam MT, Sanchez-Reyes J, Archer LA (2001) Nonlinear rheology of highly entangled polymer liquids: step strain damping function. J Rheol 45: 61-82.
19. Islam MT, Sanchez-Reyes J, Archer LA (2003) Step and steady shear responses of nearly monodisperse highly entangled 1, 4-polybutadiene mixtures. Rheol Acta 42: 191-198.
20. Jeyaseelan RS, Giacomin AJ (2008) Network theory for polymer solutions in large amplitude oscillatory shear. J Non-Newton Fluid Mech 148: 24-32.
21. Kallus S, Willenbacher N, Kirsch S, Distler D, Neidhofer T, Wilhelm M, Spiess HW (2001) Characterization of polymer dispersions by Fourier transform rheology. Rheol Acta 40: 552-559.
22. Karis TE, Seymour CM, Kono RN, Jhon MS (2002) Harmonic analysis in rheological property measurement. Rheol Acta 41: 471-474.
23. Klein CO, Spiess HW, Calin A, Balan C, Wilhelm M (2007) Separation of the nonlinear oscillatory response into a superposition of linear, strain hardening, strain softening, and wall slip response. Macromolecules 40: 4250-4259.
24. Larson RG, Khan SA, Raju VR (1988) Relaxation of stress and birefringence in polymers of high molecular weight. J Rheol 32: 145-161.
25. Li X, Wang SQ, Wang XR (2009) Nonlinearity in large amplitude oscillatory shear (LAOS) of different viscoelastic materials. J Rheol 53: 1255-1274.
26. Macosko CW (1994) Rheology: principles, measurements and applications. Wiley, New York.
27. Neidhofer T, Wilhelm M, Debbuat B (2003) Fourier-transform rheology experiments and finite-element simulations on linear polystyrene mixtures. J Rheol 47: 1351-1371.
28. Neidhofer T, Sioula S, Hadjichristidis N, Wilhelm M (2004) Distinguishing linear from star-branched polystyrene mixtures with Fourier-transform rheology. Macromol Rapid Commun 25: 1921-1926.
29. Osaki K, Kurata M (1980) Experimental appraisal of the Doi-Edwards theory for polymer rheology based on the data for polystyrene mixtures. Macromolecules 13: 671-676.
30. Ravindranath S, Wang SQ (2007) What are the origins of stress relaxation behaviors in step strain of entangled polymer mixtures? Macromolecules 40: 8031-8039.
31. Ravindranath S, Wang SQ (2008a) Steady state measurements in stress plateau region of entangled polymer mixtures: controlled-rate and controlled-stress modes. J Rheol 52: 957-980.
32. Ravindranath S, Wang SQ (2008b) Large amplitude oscillatory shear behavior of entangled polymer mixtures: particle tracking velocimetric investigation. J Rheol 52: 341-358.
33. Ravindranath S, Wang SQ, Olechnowicz M, Quirk RP (2008) Banding in simple steady shear of entangled polymer mixtures. Macromolecules 41: 2663-2670.
34. Reimers MJ, Dealy JM (1996) Sliding plate rheometer studies of concentrated polystyrene mixtures: large amplitude oscillatory shear of a very high molecular weight polymer in diethyl Phthalate. J Rheol 40: 167-186.
35. Rouyer F, Cohen-Addad S, Höhler R, Sollich P, Fielding SM (2008) The large amplitude oscillatory strain response of aqueous foam: strain localization and full stress Fourier spectrum. Eur Phys J E 27: 309-321.
36. Sanchez-Reyes J, Archer LA (2002) Step strain dynamics of entangled polymer liquids. Macromolecules 35: 5194-5202.
37. Sanchez-Reyes J, Archer LA (2003) Interfacial slip violations in polymer mixtures: role of microscale surface roughness. Langmuir 19: 3304-3312.
38. Schlatter G, Fleury G, Muller R (2005) Fourier transform rheology of branched polyethylene: experiments and models for assessing the macromolecular architecture. Macromolecules 38: 6492-6503.
39. Sim HG, Ahn KH, Lee SJ (2003) Large amplitude oscillatory shear behavior of complex fluids investigated by a network model: a guideline for classification. J Non-Newton Fluid Mech 112: 237-250.
40. Tapadia P, Wang SQ (2006) Direct visualization of continuous simple shear in non-Newtonian polymeric fluids. Phys Rev Lett 96: 016001.
41. Tapadia P, Ravindranath S, Wang SQ (2006) Banding in entangled polymer fluids under oscillatory shearing. Phys Rev Lett 96: 196001.
42. Venerus DC, Nair R (2006) Stress relaxation dynamics of an entangled polystyrene mixture following step strain flow. J Rheol 50: 59-75.
43. Vrentas CM, Graessley WW (1982) Study of shear stress relaxation in well characterized polymer liquids. J Rheol 26: 359-371.
44. Wang SQ, Ravindranath S, Boukany P, Olechnowicz M, Quirk R, Halasa A, Mays J (2006) Non-quiescent relaxation of entangled polymeric liquids after step strain. Phys Rev Lett 97: 187801.
45. Wang Y, Wang SQ, Boukany PE, Wang X (2007a) Elastic breakup in uniaxial extension of entangled polymer melts. Phys Rev Lett 99: 237801.
46. Wang SQ, Ravindranath S, Wang Y, Boukany PE (2007b) New theoretical considerations in polymer rheology: elastic breakdown of chain entanglement network. J Chem Phys 127: 064903.
47. Wapperom P, Leygue A, Keunings R (2005) Numerical simulation of large amplitude oscillatory shear of a high-density polyethylene melt using the MSF model. J Non-Newton Fluid Mech 130: 63-76.
48. Wen YH, Hua CC (2009) Chain stretch and relaxation in transient entangled mixtures probed by double-step strain flow. J Rheol 53: 781-798.
49. Wilhelm M (2002) Fourier-transform rheology. Macromol Mater Eng 287: 83-105.
50. Wilhelm M, Reinheimer P, Ortseifer M (1999) High sensitivity Fourier-transform rheology. Rheol Acta 38: 349-356.
51. Wilhelm M, Reinheimer P, Ortseifer M, Neidhofer T, Spiess HW (2000) The crossover between linear and non-linear mechanical behavior in polymer mixtures as detected by Fourier-rheology. Rheol Acta 39: 241-246.
52. Yosick JA, Giacomin AJ, Moldenaers P (1997) A kinetic network model for nonlinear flow behavior of molten plastics in both shear and extension. J Non-Newton Fluid Mech 70: 103-123.
53. Yu W, Wang P, Zhou CX (2009) General stress decomposition in nonlinear oscillatory shear flow. J Rheol 53: 215-238.