A differential formulation of thermal constraint release for entangled linear polymers

Journal of Non-Newtonian Fluid Mechanics

Volumn 128, Issue 1 SPEC. ISS., 2005, Pages 23-28

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

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

Author keywords

Constitutive equation; Constraint release; Double reptation; Mixing rule

Indexed keywords

APPROXIMATION THEORY; CONSTRAINT THEORY; POLYMER BLENDS; VISCOELASTICITY;

BINARY POLYMER BLENDS; LINEAR ENTANGLED POLYMERS; MONODISPERSE SYSTEMS; POLYDISPERSE SYSTEMS;

POLYMERS;

POLYMER;

EID: 21644455236     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2005.02.009     Document Type: Article

References (20)

1. C. Tsenoglou Viscoelasticity of binary polymer blends ACS Polym. Prepr. 28 1987 185-186
2. J. Des Cloizeaux Double reptation vs simple reptation in polymer melts J. Europhys. Lett. 5 1988 437-442
3. P.G. De Gennes Reptation of a polymer chain in the presence of fixed obstacles J. Chem. Phys. 55 1971 572-579
4. M. Doi S.F. Edwards The Theory of Polymer Dynamics 1986 Oxford University Press
5. C. Pattamaprom R.G. Larson T.J. Van Dyke Quantitative predictions of linear viscoelastic rheological properties of entangled polymers Rheol. Acta 39 6 2000 517-531
6. F. Léonardi J.-C. Majesté A. Allal G. Marin Rheological models based on the double reptation mixing rule: The effects of a polydisperse environment J. Rheol. 44 2000 675-692
7. E. van Ruymbeke R. Keunings V. Stéphenne A. Hagenaars C. Bailly Evaluation of reptation models for predicting the linear viscoelastic properties of entangled linear polymers Macromolecules 35 7 2002 2689-2699
8. A.E. Likhtman T.C.B. McLeish Quantative theory for linear dynamics of linear entangled polymers Macromolecules 35 2002 6332-6343
9. S.T. Milner T.C.B. McLeish Reptation and contour-length fluctuations in melts of linear polymers Phys. Rev. Lett. 81 3 1998 725-728
10. S.T. Milner T.C.B. McLeish Parameter-free theory for stress relaxation in star polymer melts Macromolecules 30 1997 2159-2166
11. A.L. Frischnecht S.T. Milner A. Pryke R.N. Young R. Hawkins T.C.B. McLeish Rheology of three-arm asymmetric star polymer melts Macromolecules 35 2002 4801-4820
12. S.T. Milner T.C.B. McLeish R.N. Young A. Hakiki J.M. Johnson Dynamic dilution, constraint-release, and star-linear blends Macromolecules 31 1998 9345-9353
13. S.J. Park R.G. Larson Tube dilution and reptation in binary blends of monodisperse linear polymers Macromolecules 37 2004 597-604
14. G. Marrucci Relaxation by reptation and tube enlargement: A model for polydisperse polymers J. Polym. Sci., Polym. Phys. 23 1985 159-177
15. R.S. Graham A.E. Likhtman T.C.B. McLeish S.T. Milner Microscopic theory of linear entangled polymer chains under rapid deformation including chain stretch and convective constraint release J. Rheol. 47 5 2003 1171-1200
16. C.C. Hua J.D. Schieber D.C. Venerus 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
17. J.L. Viovy M. Rubinstein R.H. Colby Constraint release in polymer melts: tube reorganization versus tube dilation Macromolecules 24 12 1991 3587-3596
18. C. Pattamaprom R.G. Larson Constraint release effects in monodisperse and bidisperse polystyrenes in fast transient shearing flows Macromolecules 34 2001 5229-5237
19. D.W. Mead R.G. Larson M. Doi A molecular theory for fast flows of entangled polymers Macromolecules 31 22 1998 7895-7914
20. R.H. Colby M. Rubinstein Two-parameter scaling for polymers in θ solvents Macromolecules 23 1990 2753-2757