Nonlinear rheology of model comb polymers

Journal of Rheology

Volumn 53, Issue 5, 2009, Pages 1133-1153

  Kapnistos, M ^a,b   Kirkwood, K M ^b   Ramirez, J ^c   Vlassopoulos, D ^a,d   Leal, L G ^b  

^a INSTITUTE OF ELECTRONIC STRUCTURE AND LASER   (Greece)

^b University of California   (United States)

^c UNIVERSITY OF READING   (United Kingdom)

^d UNIVERSITY OF CRETE   (Greece)

Author keywords

Comb Polymer; Dynamic Tube Dilation; Nonlinear Rheology; Polybutadiene; Polystyrene; Slip Springs; Step Shear; Stress Relaxation

Indexed keywords

COMB POLYMER; DYNAMIC TUBE DILATION; NONLINEAR RHEOLOGY; SLIP SPRINGS; STEP SHEAR;

BUTADIENE; ELASTICITY; PLASTICITY; POLYMER SOLUTIONS; POLYSTYRENES; RESIDUAL STRESSES; RHEOLOGY; SHEAR STRAIN; STRESS RELAXATION; VISCOSITY;

POLYMERS;

EID: 70249098410     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.3191781     Document Type: Article

References (64)

1. Archer, L. A., " Separability criteria for entangled polymeric liquids.," J. Rheol. 0148-6055 43, 1555-1571 (1999). 10.1122/1.551060
2. Archer, L. A., " Wall Slip: Measurement and Modeling Issues.," in Polymer Processing Instabilities: Control and Understanding, edited by, S. G. Hatzikiriakos, and, K. B. Migler, (Marcel Dekker, New York, 2005).
3. Archer, L. A., and Juliani, " Linear and nonlinear viscoelasticity of entangled multiarm (pom-pom) polymer liquids.," Macromolecules 0024-9297 37, 1076-1088 (2004). 10.1021/ma0347823
4. Archer, L. A., J. Sanchez-Reyes, and Juliani, " Relaxation dynamics of polymer liquids in nonlinear step shear.," Macromolecules 0024-9297 35, 10216-10224 (2002). 10.1021/ma021286q
5. Bick, D. K., and T. C. B. McLeish, " Topological contributions to nonlinear elasticity in branched polymers.," Phys. Rev. Lett. 0031-9007 76, 2587-2590 (1996). 10.1103/PhysRevLett.76.2587
6. Bird, R. B., C. F. Curtiss, R. C. Armstrong, and O. Hassager, " Dynamics of polymeric liquids.," in Polymer Kinetic Theory Vol. 2, 2nd ed. (Wiley, New York, 1987).
7. Bishko, G., T. C. B. McLeish, O. G. Harlen, and R. G. Larson, " Theoretical molecular rheology of branched polymers in simple and complex flows: The pom-pom model.," Phys. Rev. Lett. 0031-9007 79, 2352-2355 (1997). 10.1103/PhysRevLett.79.2352
8. Chodankar, C. D., J. D. Schieber, and D. C. Venerus, " Evaluation of rheological constitutive equations for branched polymers in step shear strain flows.," Rheol. Acta 0035-4511 42, 123-131 (2003). 10.1007/s00397-002-0263- x (Pubitemid 36242688)
9. Colby, R., and M. Rubinstein, " Two-parameter scaling for polymers in solvents.," Macromolecules 0024-9297 23, 2753-2757 (1990). 10.1021/ma00212a028
10. De Gennes, P. G., Scaling Concepts in Polymer Physics (Cornell University Press, Ithaca, 1979).
11. Dealy, J. M., and G. L. Larson, Structure and Rheology of Molten Polymers (Carl Hanser Verlag, Munich, 2006).
12. Doi, M., " Molecular rheology of concentrated polymer systems. I.," J. Polym. Sci., Polym. Phys. Ed. 0098-1273 18, 1005-1020 (1980). 10.1002/pol.1980.180180508
13. Doi, M., and S. F. Edwards, The Theory of Polymer Dynamics (Oxford University Press, New York, 1986).
14. Einaga, Y., K. Osaki, M. Kurata, S. Kimura, N. Yamada, and M. Tamura, Polym. J. (Tokyo, Jpn.) 0032-3896 5, 91-96 (1973). 10.1295/polymj.5.91
15. Fukuda, M., K. Osaki, and M. Kurata, " Stress relaxation of polymer solutions under large strain.," J. Polym. Sci., Polym. Phys. Ed. 0098-1273 13, 1563 (1975). 10.1002/pol.1975.180130809
16. Graessley, W. W., Polymeric Liquids & Networks: Dynamics and Rheology (Garland Science, New York, 2008).
17. Hatzikiriakos, S. G., and, K. B. Migler, eds., Polymer Processing Instabilities: Control and Understanding (Marcel Dekker, New York, 2005).
18. Hepperle, J., and H. Munstedt, " Rheological properties of branched polystyrenes: nonlinear shear and extensional behavior.," Rheol. Acta 0035-4511 45, 151-163 (2005). 10.1007/s00397-005-0033-7 (Pubitemid 43149418)
19. Hua, C. C., and J. D. Schieber, " Segment connectivity, chain-length breathing, segmental stretch, and constraint release in reptation models. I. Theory and single-step strain predictions.," J. Chem. Phys. 0021-9606 109, 10018-10027 (1998). 10.1063/1.477670 (Pubitemid 128678433)
20. Inn, Y. W., K. F. Wissbrun, and M. M. Denn, " Effect of edge fracture on constant torque rheometry of entangled polymer solutions.," Macromolecules 0024-9297 38, 9385-9388 (2005). 10.1021/ma0510901
21. Islam, M. T., J. Sanchez-Reyes, and L. A. Archer, " Step and steady shear responses of nearly monodisperse highly entangled 1,4-polybutadiene solutions.," Rheol. Acta 0035-4511 42, 191-198 (2005).
22. Iza, M., and M. Bousmina, " Damping function for narrow and large molecular weight polymers: comparison with the force-balanced network model.," Rheol. Acta 0035-4511 44, 372-378 (2005). 10.1007/s00397-004-0419- y (Pubitemid 41334854)
23. Kapnistos, M., " Linear and nonlinear rheology of architecturally complex polymers.," Ph.D. thesis, University of California, Santa Barbara, 2006.
24. Kapnistos, M., G. Koutalas, N. Hadjichristidis, J. Roovers, D. J. Lohse, and D. Vlassopoulos, " Linear rheology of comb polymers with star-like backbones: Melts and solutions.," Rheol. Acta 0035-4511 46, 273-286 (2006). 10.1007/s00397-006-0106-2 (Pubitemid 44782325)
25. Kapnistos, M., and D. Vlassopoulos, " Rheological master curves of crystallizing polymer mixtures.," Appl. Rheol. 1430-6395 16, 132-135 (2006).
26. Kapnistos, M., D. Vlassopoulos, J. Roovers, and L. G. Leal, " Linear rheology of architecturally complex macromolecules: Comb polymers with linear backbones.," Macromolecules 0024-9297 38, 7852-7862 (2005). 10.1021/ma050644x (Pubitemid 41335712)
27. Kasehagen, L. J., and C. W. Macosko, " Nonlinear shear and extensional rheology of long-chain randomly branched polybutadiene.," J. Rheol. 0148-6055 42, 1303-1327 (1998). 10.1122/1.550892
28. Larson, G. L., Constitutive Equations for Polymer Melts and Solutions (Butterworth, Washington, DC, 1988).
29. Larson, R. G., " A constitutive equation for polymer melts based on partially extending strand convection.," J. Rheol. 0148-6055 28, 545-571 (1984). 10.1122/1.549761 (Pubitemid 14642898)
30. Larson, R. G., " Nonlinear shear relaxation modulus for linear low-density polyethylene.," J. Rheol. 0148-6055 29, 823-831 (1985). 10.1122/1.549827
31. Larson, R. G., and K. Monroe, " The BKZ as an alternative to the Wagner model for fitting shear and elongational flow data of an LDPE melt.," Rheol. Acta 0035-4511 26, 208-209 (1987). 10.1007/BF01331979
32. Larson, R. G., Q. Zhou, S. Shanbhag, and S. J. Park, " Advances in modeling of polymer melt rheology.," AIChE J. 0001-1541 53, 542-548 (2007). 10.1002/aic.11064 (Pubitemid 46473306)
33. Lee, J. H., L. J. Fetters, and L. A. Archer, " Stress relaxation of branched polymers.," Macromolecules 0024-9297 38, 10763-10771 (2005). 10.1021/ma051856x (Pubitemid 43099325)
34. Lee, J. H., K. Orfanou, P. Driva, H. Iatrou, N. Hadjichristidis, and D. J. Lohse, " Linear and nonlinear rheology of dendritic star polymers: Experiments.," Macromolecules 0024-9297 41, 9165-9178 (2008). 10.1021/ma801429k
35. Likhtman, A. E., " Single-chain slip-link model of entangled polymers: Simultaneous description of neutron spin-echo, rheology, and diffusion.," Macromolecules 0024-9297 38, 6128-6139 (2005). 10.1021/ma050399h (Pubitemid 41048626)
36. Marrucci, G., " Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule.," J. Non-Newtonian Fluid Mech. 0377-0257 62, 279-289 (1996). 10.1016/0377-0257(95)01407-1
37. Marrucci, G., and G. Ianniruberto, " Flow-induced orientation and stretching of entangled polymers.," Philos. Trans. R. Soc. London, Ser. A 0962-8428 961, 677-688 (2003).
38. Masubuchi, Y., J. -I. Takimoto, K. Koyama, G. Ianniruberto, G. Marrucci, and F. Greco, " Brownian simulations of a network of reptating primitive chains.," J. Chem. Phys. 0021-9606 115, 4387 (2001). 10.1063/1.1389858
39. McLeish, T. C. B., " Why and when, does dynamic tube dilation work for stars? " J. Rheol. 0148-6055 47, 177-198 (2003). 10.1122/1.1529174
40. McLeish, T. C. B., J. Allgaier, D. K. Bick, G. Bishko, P. Biswas, R. Blackwell, B. Blottiere, N. Clarke, B. Gibbs, D. J. Groves, A. Hakiki, R. K. Heenan, J. M. Johnson, R. Kant, D. J. Read, and R. N. Young, " Dynamics of entangled h-polymers: theory, rheology, and neutron-scattering.," Macromolecules 0024-9297 32, 6734-6758 (1999). 10.1021/ma990323j
41. Menezes, E. V., and W. W. Graessley, " Nonlinear rheological behavior of polymer systems for several shear-flow histories.," J. Polym. Sci. Polym. Phys. Ed. 20, 1817-1833 (1982). 10.1002/pol.1982.180201006
42. Mhetar, V., and L. A. Archer, Macromolecules 0024-9297 31, 8607-8616 (1998). 10.1021/ma980163w
43. Nair, D. M., and J. D. Schieber, " Linear viscoelastic predictions of a consistently unconstrained Brownian slip-link model.," Macromolecules 0024-9297 39, 3386-3397 (2006). 10.1021/ma0519056 (Pubitemid 43798083)
44. Osaki, K., " On the damping function of shear relaxation modulus for entangled polymers.," Rheol. Acta 0035-4511 32, 429-437 (1993). 10.1007/BF00396173
45. Park, H. E., S. T. Lim, F. Smillo, J. M. Dealy, and C. G. Robertson, " Wall slip and spurt flow of polybutadiene.," J. Rheol. 0148-6055 52, 1201-1241 (2008). 10.1122/1.2964199
46. Rolon-Garrido, V. H., and M. H. Wagner, " The damping function in rheology.," Rheol. Acta 0035-4511 48, 245-284 (2009). 10.1007/s00397-008- 0308-x
47. Roovers, J., " Synthesis and dilute solution characterization of comb Polystyrenes.," Polymer 0032-3861 20, 843-849 (1979). 10.1016/0032-3861(79)90121-6 (Pubitemid 9475368)
48. Roovers, J., and W. W. Graessley, " Melt rheology of some model. comb polystyrenes.," Macromolecules 0024-9297 14, 766-773 (1981). 10.1021/ma50004a057
49. Roovers, J., and P. Toporowski, " Relaxation by constraint release in combs and star-combs.," Macromolecules 0024-9297 20, 2300-2306 (1987). 10.1021/ma00175a040
50. Rubinstein, M., and S. Panyukov, " Elasticity of polymer networks.," Macromolecules 0024-9297 35, 6670-6686 (2002). 10.1021/ma0203849 (Pubitemid 34892098)
51. Sanchez-Reyes, J., and L. A. Archer, " Step shear dynamics of entangled polymer liquids.," Macromolecules 0024-9297 35, 5194-5202 (2002). 10.1021/ma020321q (Pubitemid 34691649)
52. Schweizer, T., " Shear banding during nonlinear creep with a solution of monodisperse polystyrene.," Rheol. Acta 46, 629-637 (2007). 10.1007/s00397-006-0147-6
53. Schweizer, T., and M. Stöckli, " Departure from linear velocity profile at the surface of polystyrene melts during shear in cone-plate geometry.," J. Rheol. 0148-6055 52, 713-727 (2008). 10.1122/1.2896110 (Pubitemid 351632025)
54. Stadler, F. J., D. Auhl, and H. Munstedt, " Influence of the molecular structure of polyolefins on the damping function in shear.," Macromolecules 0024-9297 41, 3720-3726 (2008). 10.1021/ma0717587
55. Takahashi, M., T. Isaki, T. Takigawa, and T. Masuda, " Measurement of biaxial and uniaxial extensional flow behavior of polymer melts at constant strain rates.," J. Rheol. 0148-6055 37, 827-846 (1993). 10.1122/1.550397
56. Takahashi, T., A. Nishioka, Y. Masubuchi, J. -I. Takimoto, and K. Koyama, " A systematic description by BKZ model of strain hardening or softening in uniaxial elongation of polymer melts.," J. Macromol. Sci., Phys. 0022-2348 B38, 289-304 (1999).
57. Tapadia, P., and S. Q. Wang, " Nonlinear flow behavior of entangled polymer solutions: Yieldlike entanglement-Disentanglement transition.," Macromolecules 0024-9297 37, 9083-9095 (2004). 10.1021/ma0490855
58. Vega, D. A., and S. T. Milner, " Shear damping function measurements for branched polymers.," J. Polym. Sci., Part B: Polym. Phys. 0887-6266 45, 3117-3136 (2007). 10.1002/polb.21276 (Pubitemid 350196782)
59. Venerus, D. C., " A critical evaluation of step strain flows of entangled linear polymer liquids.," J. Rheol. 0148-6055 49, 277-295 (2005). 10.1122/1.1822931 (Pubitemid 43066251)
60. Vrentas, C. M., and W. W. Graessley, " Relaxation of shear and normal stress components in step strain experiments.," J. Non-Newtonian Fluid Mech. 0377-0257 9, 339-355 (1981). 10.1016/0377-0257(81)85009-4 (Pubitemid 13521607)
61. Wagner, M. H., " Analysis of time-dependent nonlinear stress-growth data for shear and elongational flow of a low-density branched polyethylene melt.," Rheol. Acta 0035-4511 15, 136-142 (1976). 10.1007/BF01517505
62. Watanabe, H., Y. Matsumiya, S. Ishida, T. Takigawa, D. Vlassopoulos, and J. Roovers, " Nonlinear rheology of multiarm star chains.," Macromolecules 0024-9297 38, 7404-7415 (2005). 10.1021/ma0506738 (Pubitemid 41305041)
63. Watanabe, H., M. L. Yao, T. Sato, and K. Osaki, " Non-Newtonian flow behavior of diblock copolymer micelles: Shear-thinning in a nonentangling matrix.," Macromolecules 0024-9297 30, 5905-5912 (1997). 10.1021/ma961867d
64. Zoller, P., and D. Walsh, Standard Pressure-Volume-Temperature Data for Polymers (Technomic, New York, 1995).