A constitutive model with moderate chain stretch for linear polymer melts

Journal of Non-Newtonian Fluid Mechanics

Volumn 123, Issue 2-3, 2004, Pages 185-199

  Tchesnokov, M A ^a   Molenaar, J ^a,b   Slot, J J M ^a,c   Stepanyan, R ^a  

^a UNIVERSITY OF TWENTE   (Netherlands)

^b EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

^c DSM RESEARCH   (Netherlands)

Author keywords

(Convective) constraint release; Bond vector; Bond vector probability distribution function; Constitutive equation; Polymer extrusion; Reptation

Indexed keywords

EQUATIONS OF MOTION; INTERFACIAL ENERGY; PROBABILITY DENSITY FUNCTION; PROBABILITY DISTRIBUTIONS; VECTORS;

DIE WALLS; INTERFACIAL LAYERS; LINEAR POLYMER MELTS; POLYMER MOLECULES; STRESS TENSORS;

POLYMERS;

MODEL;

EID: 8844236228     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2004.08.007     Document Type: Article

References (25)

1. M. Doi S.F. Edwards The Theory of Polymer Dynamics 1986 Clarendon Press Oxford
2. P.G. de Gennes Concept of reptation for one polymer chain J. Chem. Phys. 55 1971 572
3. G. Marrucci N. Grizzuti Fast flows of concentrated polymers: Predictions of the tube model on chain stretching Gazz. Chim. Ital. 118 1988 179-185
4. D.S. Pearson E. Herbolzheimer N. Grizzuti G. Marrucci Transient behavior of entangled polymers at high shear rates J. Polym. Sci., Part B: Polym. Phys. Ed. 29 1991 1589
5. G. Marrucci Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule J. Non-Newt. Fluid Mech. 62 1996 279
6. G. Ianniruberto G. Marrucci Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule J. Non-Newt. Fluid. Mech. 65 1996 241
7. D. Mead R. Larson M. Doi A molecular theory for fast flows of entangled polymers Macromolecules 31 1998 7895
8. G. Ianniruberto G. Marrucci A simple constitutive equation for entangled polymers with chain stretch J. Rheol. 45 2001 1305
9. G. Ianniruberto G. Marrucci A multi-mode CCR model for entangled polymers with chain stretch J. Non-Newt. Fluid Mech. 102 2002 383-395
10. J.L. Viovy M. Rubinstein R.H. Colby Constraint release in polymer melts - Tube reorganisation versus tube dilation Macromolecules 24 1991 3587-3596
11. S.T. Milner T.C.B. McLeish A.E. Likhtman Microscopic theory of convective constraint release J. Rheol. 45 2001 539
12. A.E. Likhtman S.T. Milner T.C.B. McLeish Microscopic theory for fast flow of polymer melts Phys. Rev. Lett. 85 2000 4550-4553
13. R.S. Graham A.E. Likhtman T.C.B. McLeish Microscopic theory of linear, entangled polymer chains under rapid deformation including chain strectch and convective constraint release J. Rheol. 47 2003 1171
14. H.C. Öttinger A.N. Beris Thermodynamically consistent reptation model without independent alignment J. Chem. Phys. 110 1999 6593-6596
15. C.C. Hua 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. 109 22 1998 10018-10027
16. M.A. Tchesnokov, J. Molenaar, J.J.M. Slot, Dynamics of molecules adsorbed on a die wall during polymer melt extrusion, J. Non-Newt. Fluid Mech., in press.
17. S.T. Milner T.C.B. McLeish Parameter-free theory for stress relaxation in star polymer melts Macromolecules 30 1997 2159-2166
18. A.E. Likhtman R.S. Graham Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie-Poly equation J. Non-Newt. Fluid Mech. 114 2003 1-12
19. A.E. Likhtman T.C.B. McLeish Quantitative theory for linear dynamics of linear entangled polymers Macromolecules 35 2002 6332-6343
20. M. Bercea C. Peiti B. Simonescu P. Navard Shear rheology of semidilute poly(methylmethacrylate) solutions Macromolecules 26 1993 7095-7096
21. J.J. Magda C.S. Lee S.J. Muller R.G. Larson Rheology, flow instabilities, and shear induced diffusion in polystyrene solutions Macromolecules 26 1993 1696-1706
22. J.D. Ferry Viscoelastic Properties of Polymers third ed. 1980 John Wiley & Sons New York
23. W.M. Kulicke R. Kniewske The shear viscosity dependence on concentration, molecular weight and shear rate of polysterene solutions Rheol. Acta 23 1984 75-83
24. E.V. Menezes W.W. Graessley Nonlinear rheological behavior of polymer systems for several shear-flow histories J. Polym., Sci. Polym. Phys. Ed. 18 1982 295
25. K. Osaki T. Inoue T. Isomura Stress overshoots of polymer solutions at high rates of shear J. Polym. Sci., Part B: Polym. Phys. 2000 1917-1925