A tube-based constitutive equation for polydisperse entangled linear polymers

Journal of Non-Newtonian Fluid Mechanics

Volumn 136, Issue 1, 2006, Pages 1-16

  Leygue, A ^a   Bailly, C ^a   Keunings, R ^a  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Constitutive equation; Entangled linear polymers; Polymer mixtures

Indexed keywords

ELASTIC MODULI; MATHEMATICAL MODELS; MIXING; MIXTURES; SHEAR FLOW; THERMAL EFFECTS; VISCOELASTICITY;

ENTANGLED LINEAR POLYMERS; LINEAR POLYMERS; LINEAR VISCOELASTIC MODULI; NON-LINEAR MIXING; POLYDISPERSE; POLYMER MIXTURES; TUBE-BASED CONSTITUTIVE MODEL;

POLYMERS;

ELASTIC MODULI; MATHEMATICAL MODELS; MIXING; MIXTURES; POLYMERS; SHEAR FLOW; THERMAL EFFECTS; VISCOELASTICITY;

EID: 33744823789     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2006.01.013     Document Type: Article

References (36)

1. Leygue A., Bailly C., and Keunings R. A differential tube-based model for predicting the linear viscoelastic moduli of polydisperse entangled linear polymers. J. Non Newton. Fluid Mech. 133 (2006) 28
2. Pattamaprom C., and Larson R.G. Constraint release effects in monodisperse and bidisperse polystyrenes in fast transient shearing flows. Macromolecules 34 (2001) 5229-5237
3. Ye X., Larson R.G., Pattamaprom C.J., and Shridar T. Extensional properties of monodisperse and bidisperse polystyrene solutions. J. Rheol. 47 2 (2003) 443-468
4. De Gennes P.G. Reptation of a polymer chain in the presence of fixed obstacles. J. Chem. Phys. 55 (1971) 572-579
5. Doi M., and Edwards S.F. The Theory of Polymer Dynamics (1986), Oxford University Press
6. van Ruymbeke E., Keunings R., Stéphenne V., Hagenaars A., and Bailly C. Evaluation of reptation models for predicting the linear viscoelastic properties of entangled linear polymers. Macromolecules 35 7 (2002) 2689-2699
7. Likhtman A.E., and McLeish T.C.B. Quantative theory for linear dynamics of linear entangled polymers. Macromolecules 35 (2002) 6332
8. Milner S.T., and McLeish T.C.B. Reptation and contour-length fluctuations in melts of linear polymers. Phys. Rev. Lett. 81 3 (1998) 725-728
9. Hua C.C., Schieber J.D., and Venerus D.C. Segment connectivity, chain-length breathing, segmental stretch, and constraint release in reptation models. i. Theory and single-step strain predictions. J. Chem. Phys. 109 22 (1998) 10018-10032
10. Masubuchi Y., Takimoto J., Koyama K., Ianniruberto G., Marrucci G., and Grecco F. Brownian simulations of a network of reptating primitive chains. J. Chem. Phys. 115 9 (2001) 4387-4394
11. Des Cloizeaux J. Relaxation of entangled polymers in melts. Macromolecules 23 17 (1990) 3992-4006
12. Des Cloizeaux J. Relaxation and viscosity anomaly of melts made of long entangled polymers. Macromolecules 23 21 (1990) 4678
13. Graham R.S., Likhtman A.E., McLeish T.C.B., and Milner S.T. Microscopic theory of linear entangled polymer chains under rapid deformation including chain stretch and convective constraint release. J. Rheol. 47 5 (2003) 1171-1200
14. Marrucci G. Relaxation by reptation and tube enlargement: a model for polydisperse polymers. J. Polym. Sci., Polym. Phys. 23 (1985) 159
15. Viovy J.L., Rubinstein M., and Colby R.H. Constraint release in polymer melts: tube reorganization versus tube dilation. Macromolecules 24 12 (1991) 3587-3596
16. van Ruymbeke E., Keunings R., and Bailly C. Prediction of linear viscoelastic properties for polydisperse mixtures of entangled star and linear polymers: modified tube-based model and comparison with experimental results. J. Non Newton. Fluid Mech. 128 1 (2005) 7-22
17. Tsenoglou C. Viscoelasticity of binary polymer blends. ACS Polym. Prepr. 28 (1987) 185-186
18. Des Cloizeaux J. Double reptation vs. simple reptation in polymer melts. J. Europhys. Lett. 5 (1988) 437-442
19. Marrucci G., and Ianniruberto G. Interchain pressure effect in extensional flows of entangled polymer melts. Macromolecules 37 (2004) 3934
20. Marrucci G., and Grizzuti N. Fast flows of concentrated polymers-predictions of the tube model on chain stretching. Gazz. Chim. Ital. 118 (1988) 179-185
21. Marrucci G. Dynamics of entanglements: a non-linear model consistent with the Cox-Merz rule. J. Non Newton. Fluid Mech. 62 (1996) 279
22. Ianniruberto G., and Marrucci G. On compatibility of the Cox-Merz rule with the model of Doi and Edwards. J. Non Newton. Fluid Mech. 65 2/3 (1996) 241-246
23. Marrucci G., Greco F., and Ianniruberto G. Integral and differential constitutive equations for entangled polymers with simple versions of CCR and force balance on entanglements. Rheol. Acta 40 2 (2001) 98-103
24. Leygue A., Beris A.N., and Keunings R. A constitutive equation for entangled linear polymers inspired by reptation theory and consistent with non-equilibrium thermodynamics. J. Non Newton. Fluid Mech. 101 (2001) 95-111
25. Mead D.W., Larson R.G., and Doi M. A molecular theory for fast flows of entangled polymers. Macromolecules 31 22 (1998) 7895-7914
26. Marrucci G., and Ianniruberto G. Flow-induced orientation and stretching of entangled polymers. Philos. Trans. R. Soc. A 361 (2003) 677-687
27. Wapperom P., and Keunings R. Impact of decoupling approximation between stretch and orientation in rheometrical and complex flow of entangled polymers. J. Non Newton. Fluid Mech. 122 1-3 (2004) 33-43
28. Léonardi F., Majesté J.-C., Allal A., and Marin G. Rheological models based on the double reptation mixing rule: the effects of a polydisperse environment. J. Rheol. 44 (2000) 675-692
29. Pattamaprom C., Larson R.G., and Van Dyke T.J. Quantitative predictions of linear viscoelastic rheological properties of entangled polymers. Rheol. Acta 39 6 (2000) 517-531
30. Park S.J., and Larson R.G. Tube dilution and reptation in binary blends of monodisperse linear polymers. Macromolecules 37 (2004) 597
31. M. Denberg, Study of the stretch dynamics of the CRAFT model using a Monte-Carlo method. Technical Report, Université Catholique de Louvain, 2004.
32. Beris A.N., and Edwards B.J. Thermodynamics of Flowing Systems with Internal Microstructure (1994), Oxford University Press
33. A.N. Beris, Personal communication.
34. Wapperom P., Keunings R., and Ianniruberto G. Prediction of rheometrical and complex flows of entangled linear polymers using the DCR model with chain stretch. J. Rheol. 47 (2003) 247-265
35. Bhattacharjee P.K., Oberhauser J.P., McKinley G.H., Leal L.G., and Shridar T. Extensional rheometry of entangled solutions. Macromolecules 35 (2002) 10131-10148
36. Bach A., Almdal K., Rasmussen H.K., and Hassager O. Elongational viscosity of narrow molar mass distribution polystyrene. Macromolecules 36 14 (2003) 5174-5179