Brownian dynamics simulation of reversible polymer networks under shear using a non-interacting dumbbell model

Journal of Non-Newtonian Fluid Mechanics

Volumn 113, Issue 2-3, 2003, Pages 73-96

  Hernandez Cifre J G ^a   Barenbrug, T M A O M ^a   Schieber, J D ^a   van den Brule, B H A A ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Brownian dynamics simulation; Dumbbell model; Gel; Polymer network; Reversible; Shear thickening; Temporary; Transient

Indexed keywords

APPROXIMATION THEORY; BROWNIAN MOVEMENT; DIFFERENTIAL EQUATIONS; MATHEMATICAL MODELS; NON NEWTONIAN FLOW;

REVERSIBLE POLYMER NETWORKS;

INTERPENETRATING POLYMER NETWORKS;

BROWNIAN MOTION; DYNAMICS; FLUID MECHANICS; GEL; MATHEMATICAL ANALYSIS; POLYMER; SHEAR FLOW;

EID: 10744225183     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(03)00063-6     Document Type: Article

References (33)

1. Vaccaro A.Marrucci G.A model for the nonlinear rheology of associating polymers J. Non-Newtonian Fluid Mech. 92 2000 261
2. Lundberg D.J.Glass J.E.Eley R.R.Viscosity behavior among HEUR thickeners J. Rheol. 35 1991 1255
3. Annable T.Buscall R.Ettelaie R.Whittlestone D.The rheology of solutions of associating polymers: comparison of experimental behavior with transient network theory J. Rheol. 37 1993 695
4. Ng W.K.Tam K.C.Jenkins R.D.Lifetime and network relaxation time of a HEUR-C20 associative polymer system J. Rheol. 44 2000 137
5. Broze G.Jéromê R.Teyssié P.Marco C.Halato-telechelic polymers. Part 6. Viscoelastic properties of solutions of alkaline earth α,ω-dicarboxylatopolybutadiene Macromolecules 16 1983 996
6. Ketz R.J.Graessley W.W.Prud'homme R.K.Rheology of semi-dilute ionomer solutions Polym. Prepr. Am. Chem. Sci. Div. Polym. Chem. 32 1991 613
7. Maus C.Fayt R.Jéromê R.Teyssié P.Shear-thickening of halato-telechelic polymers in apolar solvents Polymer 36 1995 2083
8. Green M.S.Tobolsky A.V.A new approach to the theory of relaxing polymeric media J. Chem. Phys. 14 1946 80
9. Yamamoto M.The viscoelastic properties of network structure-1. General formulism J. Phys. Soc. Jpn. 11 1956 413
10. Lodge A.S.A network theory of flow birefringence and stress in concentrated polymer solutions Trans. Faraday Soc. 52 1956 120
11. Lodge A.S.Constitutive equations from molecular network theories for polymer solutions Rheol. Acta 7 1968 379
12. Phan-Thien N.Tanner R.I.A new constitutive equation derived from network theory J. Non-Newtonian Fluid Mech. 2 1977 353
13. Witten T.A.Cohen M.H.Cross-linking in shear thickening ionomers Macromolecules 18 1985 1915
14. Petruccione F.Biller P.A numerical stochastic approach to network theories of polymeric fluids J. Chem. Phys. 89 1988 577
15. Wang S.-Q.Transient network theory for shear thickening fluids and physically cross-linked systems Macromolecules 25 1993 7003
16. Tanaka F.Edwards S.F.Viscoelastic properties of physically cross-linked networks. Transient network theory Macromolecules 25 1992 1516
17. Tanaka F.Edwards S.F.Viscoelastic properties of physically crosslinked networks: Part 1. Non-linear stationary viscoelasticity J. Non-Newtonian Fluid Mech. 43 1992 247
18. Tanaka F.Edwards S.F.Viscoelastic properties of physically crosslinked networks: Part 2. Dynamic mechanical moduli J. Non-Newtonian Fluid Mech. 43 1992 273
19. Tanaka F.Edwards S.F.Viscoelastic properties of physically crosslinked networks: Part 3. Time-dependent phenomena J. Non-Newtonian Fluid Mech. 43 1992 289
20. Marrucci G.Bhargava S.Cooper S.L.Models of shear thickening behaviour in physically cross-linked networks Macromolecules 26 1993 6483
21. van den Brule B.H.A.A.Hoogerbrugge P.J.Brownian dynamics simulation of reversible polymeric networks J. Non-Newtonian Fluid Mech. 60 1995 303
22. P.J. Flory, Statistical thermodynamics of random networks, Proc. R. Soc. London Ser. A, 1976, p. 351.
23. Flory P.J.Theory of elasticity of polymer networks. Part I. The effect of local constraints on junctions J. Chem. Phys. 66 1977 5720
24. Warner H.R.Jr.Kinetic theory and rheology of dilute suspensions of finitely extendible dumbbells I.E.C. Fund. 11 1972 379
25. Th.M.A.O.M. Barenbrug, E.A.J.F. Peters, J.D. Schieber, Accurate method for the Brownian dynamics simulation of spherical particles with hard interactions, J. Chem. Phys. 117 (2002) 9202.
26. E.A.J.F. Peters, Polymers in Flow: Modelling Simulation, Ph.D. dissertation, Delft University of Technology, The Netherlands, 2000.
27. R.B. Bird, C.F. Curtiss, R.C. Armstrong, O. Hassager, Dynamics of Polymeric Liquids: Kinetic Theory, vol. 2, Wiley, New York, 1987.
28. R.G. Larson, The Structure and Rheology of Complex Fluids, Oxford University Press, New York, 1999.
29. Dhont J.K.G.A constitutive relation describing the shear-banding transition Phys. Rev. E 60 1999 4534
30. Michel E.Appell J.Molino F.Kieffer J.Porte G.Unstable flow and nonmonotonic flow curves of transient networks J. Rheol. 45 2001 1465
31. Semenov A.N.Joanny J.-F.Khokhlov A.R.Associating polymers: equilibrium and linear viscoelasticity Macromolecules 28 1995 1066
32. Wientjes R.H.W.Jongschaap R.J.J.Duits M.H.G.Mellema J.A new transient network model for associative polymer networks J. Rheol. 43 1999 375
33. Jongschaap R.J.J.Wientjes R.H.W.Duits M.H.G.Mellema J.A generalized transient network model for associative polymer networks Macromolecules 34 2001 1031