Open problems in tube models for concentrated polymers

Journal of Non-Newtonian Fluid Mechanics

Volumn 82, Issue 2-3, 1999, Pages 275-286

  Marrucci, G ^a   Ianniruberto, G ^a  

^a UNIVERSITY OF NAPLES FEDERICO II   (Italy)

Author keywords

Cox Merz rule; CRR; Elliptical cross section; Normal stress ratio; Tube deformation; Tube model

Indexed keywords

POLYMERS; RELAXATION PROCESSES; VISCOELASTICITY; VISCOSITY;

CONCENTRATED POLYMERS; COX-MERZ RULE; ELLIPTICAL CROSS SECTION; NORMAL STRESS RATIO; TUBE DEFORMATION; TUBE MODELS;

COMPUTATIONAL FLUID DYNAMICS;

DEFORMATION; FLOW; POLYMER;

EID: 0033133817     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00166-9     Document Type: Article

References (21)

1. M. Doi, S.F. Edwards, The Theory of Polymer Dynamics, Clarendon Press, Oxford, 1986.
2. de Gennes P.G. Reptation of a polymer chain in the presence of fixed obstacles. J. Chem. Phys. 55:1971;572-579.
3. Doi M. Explanation for the 3.4 power-law for viscosity of polymeric liquids on the basis of the tube model. J. Polym. Sci.: Polym. Phys. Ed. 21:1983;667-684.
4. Decruppe J.P., Cressely R., Makhloufi R., Cappelaere E. Flow birefringence experiments showing shear-banding structure in a CTAB solution. Colloid Polym. Sci. 273:1995;346-351.
5. Marrucci G. Dynamics of entanglements: a nonlinear model consistent with the Cox-Merz rule. J. Non-Newtonian Fluid Mech. 62:1996;279-289.
6. Ianniruberto G., Marrucci G. On the compatibility of the Cox-Merz rule with the model of Doi and Edwards. J. Non-Newtonian Fluid Mech. 65:1996;241-246.
7. Marrucci G., Ianniruberto G. Effect of flow on topological interaction in polymers. Macromol. Symp. 117:1997;233-240.
8. G. Marrucci, G. Ianniruberto, Polymeric liquids at high shear rates, in: M.J Adams, R.A. Mashelkar, J.R.A. Pearson, A.R. Rennie (Eds.), Dynamics of Complex Fluids, Ch. 11, Imperial College Press, The Royal Society, London, 1998, pp. 175-186.
9. R.G. Larson, D.W. Mead, M. Doi, A molecular theory for fast flows of entangled polymers, Macromolecules, 1998, in press.
10. Viovy J.L., Monnerie L., Tassin J.F. Tube relaxation: a necessary concept in the dynamics of strained polymers. J. Polym. Sci.: Polym. Phys. Ed. 21:1983;2427-2444.
11. Milner S.T. Relating the shear-thinning curve to the molecular weight distribution in linear polymer melts. J. Rheol. 40:1996;303-315.
12. Doi M., Edwards S.F. Dynamics of concentrated polymer systems Part 3. The constitutive equation. J. Chem. Soc., Farad. Trans. II. 74:1978;1818-1832.
13. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids, vol. 1, Wiley, New York, 1977, p. 194.
14. Marrucci G., Grizzuti N. The Doi-Edwards model in slow flows: predictions on the Weissenberg effect. J. Non-Newtonian Fluid Mech. 21:1986;319-328.
15. Brown E.F., Burghardt W.R., Kahvand H., Venerus D.C. Comparison of optical and mechanical measurements of second normal stress difference relaxation following step strain. Rheol. Acta. 34:1995;221-234.
16. Brown E.F., Burghardt W.R. First and second normal stress difference relaxation in reversing double-step strain flows. J. Rheol. 40:1996;37-54.
17. Marrucci G., de Cindio B. The stress relaxation of molten PMMA at large deformation and its theoretical interpretation. Rheol. Acta. 19:1980;68-75.
18. Marrucci G., Hermans J.J. Nonlinear viscoelasticity of concentrated polymeric liquids. Macromolecules. 13:1980;380-387.
19. Wagner M.H., Schaeffer J. Nonlinear strain measure for general biaxial extension of polymer melts. J. Rheol. 36:1992;1-26.
20. 2 term in rubber elasticity. J. Rheol. 38:1994;655-679.
21. Ianniruberto G., Marrucci G. Stress tensor and stress-optical law in entangled polymers. J. Non-Newtonian Fluid Mech. 79:1998;225-234.