The MSF model: Relation of nonlinear parameters to molecular structure of long-chain branched polymer melts

Rheologica Acta

Volumn 46, Issue 5, 2007, Pages 583-593

  Rolón Garrido, Víctor H ^a   Wagner, Manfred H ^a  

^a TECHNISCHE UNIVERSITÄT BERLIN   (Germany)

Author keywords

Coil contraction factors; Molecular Stress Function (MSF) model; Polystyrene combs; Structure properties relations; Uniaxial extensional flow

Indexed keywords

DEFORMATION; ELONGATION; MOLECULAR STRUCTURE; POLYMER MELTS; POLYSTYRENES; PRESSURE; STRAIN ENERGY; STRAIN HARDENING; VISCOSITY;

EID: 34249074150     PISSN: 00354511     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00397-006-0136-9     Document Type: Conference Paper

References (56)

1. Berry GC (1968) Translational frictional constant of comb-branched polymers. J Polym Sci A-2 6:1551-1554
2. Berry GC (1971) Thermodynamic and conformational properties of polystyrene. III. Dilute solution studies on branched polymers. J Polym Sci A-2 9:687-715
3. Berry GC (1988) Remarks on a relation among the intrinsic viscosity, the radius of gyration, and the translational friction coefficient. J Polym Sci B Polym Phys 26:1137-1142
4. Berry GC, Orofino TA (1964) Branched polymers. III. Dimensions of chains with small excluded volume. J Chem Phys 40(6):1614-1621
5. Casassa EF, Berry GC (1966) Angular distribution of intensity of rayleigh scattering from comblike branched molecules. J Polym Sci A-2 4:881-887
6. Candau F, Rempp P, Benoit H (1972) A new theoretical approach to the problem of solution behavior of branched polymers. Macromolecules 5(5):627-635
7. Daniels DR, McLeish TCB, Crosby BJ, Young RN, Fernyhough CM (2001) Molecular rheology of comb polymer melts. 1. Linear viscoelastic response. Macromolecules 34:7025-7033
8. Dekmezian AH, Weng W, Garcia-Franco CA, Markel EJ (2004) Melt strength of blends of linear low density polyethylene and comb polymers. Polymer 45:5635-5640
9. Doi M, Edwards SF (1978) Dynamics of concentrated polymer systems. Part 2.-Molecular motion under flow. J Chem Soc Faraday Trans 2(74):1802-1817
10. Flory PJ, Fox TG (1951) Treatment of intrinsic viscosity. J Am Chem Soc 73:1904-1908
11. Freire JJ (1999) Conformational properties of branched polymers: Theory and simulations. Adv Polym Sci 143:35-112
12. Fujimoto T, Narukawa H, Nagasawa M (1970) Viscoelastic properties of comb-shaped polystyrenes. Macromolecules 3(1):57-64
13. Gotsis AD, Zeevenhoven BLF, Tsenoglou C (2004) Effect of long branches on the rheology of polypropylene. J Rheol 48(4):895-914
14. Hepperle J (2003) Einfluss der Molekularen Struktur auf Rheologische Eigenschaften von Polystyrol- und Polycarbonatschmelzen. Doctoral Thesis, University Erlangen-Nürnberg
15. Hepperle J, Münstedt H (2006) Rheological properties of branched polystyrenes: Nonlinear shear and extensional behavior. Rheol Acta 45(5):717-727
16. Hepperle J, Münstedt H, Haug PK, Eisenbach CD (2005) Rheological properties of branched polystyrenes: Linear viscoelastic behavior. Rheol Acta 45(2):151-163
17. Kapnistos M, Vlassopoulos D, Roovers J, Leal LG (2005) Linear rheology of architecturally complex macromolecules: Comb polymers with linear backbones. Macromolecules 38(18):7852-7862
18. Kato T, Itsubo A, Yamamoto Y, Fujimoto T, Nagasawa M (1975) Gel permeation chromatography of comb-shaped branched polymers. Polym J 7(1):123-129
19. Kim DM, Busch M, Hoefsloot HCJ, Iedema PD (2004) Molecular weight distribution modeling in low-density polyethylene polymerization; impact of scission mechanisms in the case of CSTR. Chem Eng Sci 59:699-718
20. Kuhn R, Kromer H, Rossmanith G (1974) Struktur und Eigenschaften vershieden hergestellter Hochdruckpolyäthylene (Structure and properties of various high-pressure polyethylenes). Angew Makromol Chem 40:361-389
21. Lipson JEG (1991) A Monte Carlo simulation study on long-chain combs. Macromolecules 24:1327-1333
22. Marrucci G, Ianniruberto G (2004) Interchain pressure effect in extensional flows of entangled polymer melts. Macromolecules 37:3934-3942
23. McCrackin FL, Mazur J (1981) Configuration properties of comb-branched polymers. Macromolecules 14:1214-1220
24. Münstedt H (1980) Dependence of the elongational behavior of polystyrene melts on molecular weight and molecular weight distribution. J Rheol 24(6):847-867
25. Nakamura Y, Wan Y, Mays JW, Iatrou H, Hadjichristidis N (2000) Radius of gyration of polystyrene combs and centipedes in solution. Macromolecules 33:8323-8328
26. Noda I, Horikawa T, Kato T, Fujimoto T, Nagasawa M (1970) Solution properties of comb-shaped polystyrenes. Macromolecules 3(6):795-799
27. Osaki K, Mitsuda Y, Schrag JL, Ferry JD (1974) Numerical calculations of the viscoelastic properties of dilute solutions of comb-shaped branched polymers. Trans Soc Rheol 18(3):395-410
28. Radke W, Müller AHE (2005) Synthesis and characterization of comb-shaped polymers by SEC with on-line scattering and viscometry detection. Macromolecules 38:3949-3960
29. Rolón-Garrido VH, Wagner MH, Luap C, Schweizer T (2006) Modeling non-gaussian extensibility effects in elongation of nearly monodisperse polystyrene melts. J Rheol 50:327-340
30. Roovers J (1979) Synthesis and dilute solution characterizatioon of comb polystyrenes. Polymer 20:843-849
31. Roovers J, Graessley WW (1981) Melt rheology of some model comb polystyrenes. Macromolecules 14:766-773
32. Roovers J, Toporowski PM (1987) Relaxation by constraint release in combs and star-combs. Macromolecules 20:2300-2306
33. Rouault Y (1998) From comb polymers to polysoaps: A Monte Carlo attempt. Macromol Theory Simul 7:359-365
34. Rouault Y, Borisov OV (1996) Comb-branched polymers: Monte Carlo simulation and scaling. Macromolecules 29:2605-2611
35. Sheng YJ, Cheng KL, Ho CC (2004) Effect of solvent quality on the conformations of a model comb polymer. J Chem Phys 121(4):1962-1968
36. Shiokawa K, Itoh K, Nemoto N (1999) Simulations of the shape of a regularly branched polymer as a model of a polymacromonomer. J Chem Phys 111(17):8165-8173
37. Stanescu P, Majesté JC, Carrot C (2005) Modeling of the linear viscoelastic behavior of low-density polyethylene. J Polym Sci B Polym Phys 43:1973-1985
38. Terao K, Farmer BS, Nakamura Y, Iatrou H, Hong K, Mays JW (2005) Radius of gyration of polystyrene combs and centipedes in a θ solvent. Macromolecules 38:1447-1450
39. 2 term in rubber elasticity. J Rheol 38:655-679
40. Wagner MH (1999) Constitutive equations for polymer melts and rubbers: lessons from the 20th century. Korea-Australia Rheol J 11:293-304
41. Wagner MH, Schaeffer J (1992) Nonlinear measures for general biaxial extension of polymer melts. J Rheol 36:1-26
42. Wagner MH, Schaeffer J (1993) Rubbers and polymer melts: Universal aspects of nonlinear stress-strain relations. J Rheol 37(4):643-661
43. Wagner MH, Bastian H, Ehrecke P, Kraft M, Hachmann P, Meissner J (1998a) Nonlinear viscoelastic characterization of a linear polyethylene (HDPE) melt in rotational and irrotaniolan flows. J Non-Newton Fluid Mech 79:283-296
44. Wagner MH, Bastian H, Ehrecke P, Hachmann P, Meissner J (1998b) A constitutive analysis of uniaxial, equibiaxial, and planar extension of a linear and branched polyethylene melts. In: Emri I et al (eds) Progress and trends in rheology. Steinkopff, Darmstadt, pp 4-7
45. Wagner MH, Bastian H, Hachmann P, Meissner J, Kurzbeck S, Münstedt H, Langouche F (2000) The strain-hardening behaviour of linear and long-chain-branched polyolefin melts in extensional flows. Rheol Acta 39:97-109
46. Wagner MH, Rubio P, Bastian H (2001) The molecular stress function model for polydisperse polymer melts with dissipative convective constraint release. J Rheol 45(6):1387-1412
47. Wagner MH, Yamaguchi M, Takahashi M (2003) Quantitative assessment of strain hardening of low-density polyethylene melts by the molecular stress function model. J Rheol 47(3):779-793
48. Wagner MH, Hepperle J, Münstedt H (2004) Relating rheology and molecular structure of model branched polystyrene melts by molecular stress function theory. J Rheol 48(3):489-503
49. Wagner MH, Kheirandish S, Koyama K, Nishioka A, Minegishi A, Takahashi T (2005a) Modeling strain hardening of polydisperse polystyrene melts by molecular stress function theory. Rheol Acta 44:235-243
50. Wagner MH, Kheirandish S, Yamaguchi M (2005b) Quantitative analysis of melt elongational behavior of LLDPE/LDPE blends. Rheol Acta 44:198-218
51. Wagner MH, Rolón-Garrido VH, Chai ChK (2005c) Exponential shear flow of branched polyethylenes in rotational parallel-plate geometry. Rheol Acta 45:164-173
52. Wagner MH, Kheirandish S, Hassager O (2005d) Quantitative prediction of transient and steady-state elongational viscosity of nearly monodisperse polystyrene melts. J Rheol 49:1317-1327
53. Wapperom P, Leygue A, Keunings R (2005) Numerical simulation of large amplitude oscillatory shear of a high-density polyethylene melt using the MSF model. J Non-Newton Fluid Mech 130:63-76
54. Winter HH, Mours M (2003) IRIS Developments. http://rheology.tripod.com/
55. Yurasova TA, McLeish TCB (1994) Semenov AN, Stress relaxation in entangled comb polymer melts. Macromolecules 27:7205-7211
56. Zimm BH, Stockmayer WH (1949) The dimensions of chain molecules containing branches and rings. J Chem Phys 17(12):1301-1312