Stress relaxation of narrow molar mass distribution polystyrene following uniaxial extension

Journal of Rheology

Volumn 52, Issue 4, 2008, Pages 885-899

  Nielsen, Jens Kromann ^a   Rasmussen, Henrik Koblitz ^a   Hassager, Ole ^a  

^a TECHNICAL UNIVERSITY OF DENMARK   (Denmark)

Author keywords

Filament stretching; Stress relaxation; Uniaxial elongation

Indexed keywords

CLOSED LOOP CONTROL SYSTEMS; EXPERIMENTS; STRESS RELAXATION;

CLOSED-LOOP CONTROLS; EDWARDS MODEL; ELONGATIONAL FLOWS; END PLATES; FILAMENT STRETCHING; MOLAR MASS DISTRIBUTION; STEADY STATES; STRETCH RATE; UNI-AXIAL EXTENSION; UNIAXIAL ELONGATION;

RESIDUAL STRESSES;

EID: 46049104213     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2930872     Document Type: Article

References (46)

1. Anna, S. L., C. B. Rogers, and G. H. McKinley, " On controlling the kinematics of a filament stretching rheometer using a real-time active control mechanism.," J. Non-Newtonian Fluid Mech. 87, 307-335 (1999).
2. Bach, A., K. Almdal, H. K. Rasmussen, and O. Hassager, " Elongational viscosity of narrow molar mass distribution polystyrene.," Macromolecules 36, 5174-5179 (2003a).
3. Bach, A., H. K. Rasmussen, and O. Hassager, " Extensional viscosity for polymer melts measured in the filament stretching rheometer.," J. Rheol. 47, 429-441 (2003b).
4. Baumgaertel, M., A. Schausberger, and H. H. Winter, " The relaxation of polymers with linear flexible chains of uniform length.," Rheol. Acta 29, 400-408 (1990).
5. Bhattacharjee, P. K., D. A. Nguyen, G. H. McKinley, and T. Sridhar, " Extensional stress growth and stress relaxation in entangled polymer solutions.," J. Rheol. 47, 269-290 (2003).
6. Bird, R. B., R. C. Armstrong, and O. Hassager, Dynamics of Polymeric Liquids., Vol. I, Fluid Mechanics, (Wiley, New York, 1987).
7. Cohen, A., " A Pade approximant to the inverse Langevin function.," Rheol. Acta 30, 270-273 (1991).
8. Doi, M., " Constitutive equation derived from the model of Doi and Edwards for concentrated polymer solutions and polymer melts.," J. Polym. Sci., Polym. Phys. Ed. 18, 2055-2067 (1980).
9. Doi, M., and S. F. Edwards, " Dynamics of concentrated polymer systems. VI. Rheological properties.," J. Chem. Soc., Faraday Trans. 1 75, 38-54 (1979).
10. Doi, M., and S. F. Edwards, The Theory of Polymer Dynamics (Clarendon, Oxford, 1986).
11. Doyle, P. S., E. S. G. Shaqfeh, G. H. McKinley, and S. H. Spiegelberg, " Relaxation of dilute polymer solutions following extensional flow.," J. Non-Newtonian Fluid Mech. 76 79-110 (1998).
12. Fang, J., M. Kröger, and H. C. Öttinger, " A thermodynamically admissible repetation model for fast flows of entangled polymers. II. Model predictions for shear and extensional flows.," J. Rheol. 44, 1293-1317 (2000).
13. Ianniruberto, G., and G. Marrucci, " A simple constitutive equation for entangled polymers with chain stretch.," J. Rheol. 45, 1305-1318 (2001).
14. Jackson, J. K., and H. H. Winter, " Entanglement and Flow Behavior of Bidisperse Blends of Polystyrene and Polybutadiene.," Macromolecules 28, 3146-3155 (1995).
15. Kolte, M. I., H. K. Rasmussen, and O. Hassager, " Transient filament stretching rheometer II: Numerical simulation.," Rheol. Acta 36, 285-302 (1997).
16. Likhtman, A., " Single-chain slip-link model of entangled polymers: Simultaneous description of neutron spin-echo, Rheology, and Diffusion.," Macromolecules 38, 6128-6139 (2005).
17. Luap, C., C. Müller, T. Schweizer, and D. C. Venerus, " Simultaneous stress and birefringence measurements during uniaxial elongation of polystyrene melts with narrow molecular weight distribution.," Rheol. Acta 45, 83-91 (2005).
18. Marrucci, G., and N. Grizzuti, " Fast flows of concentrated polymers-Predictions of the tube model on chain stretching.," Gazz. Chim. Ital. 118, 179-185 (1988).
19. Marrucci, G., and G. Ianniruberto, " Interchain pressure effect in extensional flows of entangled polymer melts.," Macromolecules 37, 3934-3942 (2004).
20. McKinley, G. H., and T. Sridhar, " Filament-stretching rheometry of complex fluids.," Annu. Rev. Fluid Mech. 32, 375-416 (2002).
21. McLeish, T. C. B., and R. G. Larson, " Molecular constitutive equations for a class of branched polymers: The pom-pom polymer.," J. Rheol. 42, 81-110 (1998).
22. Mead, D. W., R. G. Larson, and M. Doi, " A molecular theory for fast flows of entangled polymers.," Macromolecules 31, 7895-7914 (1998).
23. Ndoni, S., C. M. Papadakis, F. S. Bates, and K. Almdal, " Laboratory-scale setup for anionic polymerization under inert atmosphere.," Rev. Sci. Instrum. 66, 1090-1095 (1995).
24. Nielsen, J. K., H. K. Rasmussen, O. Hassager, and G. H. McKinley, " Elongational viscosity of monodisperse and bidisperse polystyrene melts.," J. Rheol. 50, 453-476 (2006a).
25. Nielsen, J. K., H. K. Rasmussen, M. Denberg, K. Almdal, and O. Hassager, " Nonlinear branch-point dynamics of multiarm polystyrene.," Macromolecules 39, 8844-8853 (2006b).
26. Nieuwkoop, J. van, and M. M. O. M. von Czernicki, " Elongation and subsequent relaxation measurements on dilute polyisobutylene.," J. Non-Newtonian Fluid Mech. 67, 105-123 (1996).
27. Orr, N. V., and T. Sridhar, " Stress relaxation in uniaxial extension.," J. Non-Newtonian Fluid Mech. 67, 77-103 (1996).
28. Pearson, D. S., A. D. Kiss, L. J. Fetters, and M. Doi, " Flow-induced birefringence of concentrated polyisoprene solutions.," J. Rheol. 33, 517-535 (1989).
29. Rasmussen, H. K., P. Lailĺ, and K. Yu, " Large amplitude oscillatory elongation flow.," Rheol. Acta 47, 97-103 (2008).
30. Rasmussen, H. K., J. H. Christensen, and S. J. Gottsche, " Inflation of polymer melts into elliptic and circular cylinders.," J. Non-Cryst. Solids 93, 245-263 (2000).
31. Rodd, L. E., T. P. Scott, J. J. Cooper-White, and G. H. McKinley, " Capillary breakup rheometry of low-viscosity elastic fluids.," Appl. Rheol. 15, 12-27 (2005).
32. Rolón-Garrido, V. H., M. H. Wagner, C. Luap, and T. Schweizer, " Modeling non-Gaussian extensibility effects in elongation of nearly monodisperse polystyrene melts.," J. Rheol. 50, 327-340 (2006).
33. Schausberger, A., and G. Schindlauer, " Linear elastico-viscous properties of molten standard polystyrenes.," J. Rheol. 24, 220-227 (1985).
34. Schieber, J., J. Neergaard, and S. Gupta, " A full-chain, temporary network model with sliplinks, chain-length fluctuations, chain connectivity and chain stretching.," J. Rheol. 47, 213-233 (2003).
35. Sentmanat, M., B. N. Wang, and G. H. McKinley, " Measuring the transient extensional rheology of polyethylene melts using the SER universal testing platform.," J. Rheol. 49, 585-606 (2005).
36. Shaqfeh, E. S. G., G. H. McKinley, N. Woo, D. A. Nguyen, and T. Sridhar, " On the polymer entropic force singularity and its relation to extensional stress relaxation and filament recoil.," J. Rheol. 48, 209-221 (2004).
37. Spiegelberg, S. H., and G. H. McKinley, " Stress relaxation and elastic decohesion of viscoelastic polymer solutions in extensional flow.," J. Non-Newtonian Fluid Mech. 67, 49-76 (1996a).
38. Spiegelberg, S. H., and G. H. McKinley, " The role of end-effects on measurements of extensional viscosity in filament stretching rheometers.," J. Non-Newtonian Fluid Mech. 64, 229-267 (1996b).
39. Sridhar, T., V. Tirtaadmadja, D. A. Nguyen, and R. K. Gupta, " Measurement the extensional viscosity of polymer-solutions.," J. Non-Newtonian Fluid Mech. 0377-0257 10.1016/0377-0257(91)87012-M 40, 271-280 (1991) and Sridhar, T., V. Tirtaadmadja, D. A. Nguyen, and R. K. Gupta," Chain connectivity and chain stretching.," J. Rheol. 47, 213-233 (2003).
40. Szabo, P., and G. H. McKinley, " Filament stretching rheometer: Inertia compensation revisited.," Rheol. Acta 42, 269-271 (2003).
41. Szabo, P., " Transient filament stretching rheometer part I: Force Balance analysis.," Rheol. Acta 36, 277-284 (1997).
42. Wagner, M. H., and J. Schaeffer, " Nonlinear strain measures for general biaxial extension of polymer melts.," J. Rheol. 36, 1-26 (1992).
43. Wagner, M. H., S. Kheirandish, and O. Hassager, " Quantitative prediction of the transient and steady-state elongatiuonal viscosity of nearly monodisperse polystyrene melts.," J. Rheol. 49, 1317-1327 (2005).
44. Wagner, M. H., V. H. Rolón-Garrido, J. K. Nielsen, H. K. Rasmussen, and O. Hassager, " A constitutive analysis of transient and steady-state elongational viscosities of bidisperse polystyrene blends.," J. Rheol. 52, 67-86 (2008).
45. Wang, Y., P. Boukany, S.-Q. Wang, and X. Wang, " Elastic breakup in uniaxial extension of entangled polymer melts.," Phys. Rev. Lett. 99, 237801 (2007).
46. Ye, X., and T. Sridhar, " Effects of the polydispersity on rheological properties of entangled polystyrene solutions.," Macromolecules 38, 3442-3449 (2005).