From elastic deformation to terminal flow of a monodisperse entangled melt in uniaxial extension

Journal of Rheology

Volumn 52, Issue 6, 2008, Pages 1275-1290

  Wang, Yangyang ^a   Wang, Shi Qing ^a  

^a The University of Akron   (United States)

Author keywords

Elastic yielding; Entangled polymer; Rheological steady state; Scaling behavior; Uniaxial extension; Yield point

Indexed keywords

ABS RESINS; BUTADIENE; DEFORMATION; ELASTIC DEFORMATION; POLYMERS; STYRENE;

ELASTIC YIELDING; ENTANGLED POLYMER; RHEOLOGICAL STEADY STATE; SCALING BEHAVIOR; UNIAXIAL EXTENSION; YIELD POINT;

PORT TERMINALS;

EID: 51149122073     PISSN: 01486055     EISSN: None     Source Type: Journal    
DOI: 10.1122/1.2995858     Document Type: Article

References (55)

1. Bach, A., H. K. Rasmussen, and O. Hassager, " Extensional viscosity for polymer melts measured in the filament stretching rheometer.," J. Rheol. 47, 429-441 (2003a).
2. Bach, A., K. Almdal, H. K. Rasmussen, and O. Hassager, " Elongational viscosity of narrow molar mass distribution polystyrene.," Macromolecules 36, 5174-5179 (2003b).
3. Barroso, V. C., and J. M. Maia, " Evaluation by means of stress relaxation experiments of the viscoelastic behavior of polymer melts in uniaxial extension.," Rheol. Acta 41, 257-264 (2002).
4. Barroso, V. C., S. P. Ribeiro, and J. M. Maia, " Stress relaxation after a step strain in uniaxial extension of polyisobutylene and polyethylene.," Rheol. Acta 42, 345-354 (2003).
5. Bhattercharjee, P. K., J. P. Oberhauser, and G. H. McKinley, " Extensional rheometry of entangled solutions.," Macromolecules 35, 10131-10148 (2002).
6. Bhattercharjee, 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).
7. Boukany, P. E., and S. Q. Wang, " A correlation between velocity profile and molecular weight distribution in sheared entangled polymer solutions.," J. Rheol. 51, 217-233 (2007).
8. Boukany, P. E., and S. Q. Wang, " Universal scaling behavior in startup shear of entangled linear melts.," J. Rheol. (submitted) (2008a).
9. Boukany, P. E., and S. Q. Wang, " First evidence of polymer melts undergoing inhomogeneous shear and breakup after shear cessation.," Macromolecules (in preparation) (2008b).
10. Doi, M., and S. F. Edwards, " Dynamics of concentrated polymer systems, Part 4-Rheological properties.," J. Chem. Soc., Faraday Trans. 2 75, 38-54 (1979).
11. Doi, M., and S. F. Edward, The Theory of Polymer Dynamics, 2nd ed. (Clarendon, Oxford, 1988).
12. Graham, R. S., A. E. Likhtman, and T. C. B. McLeish, " Microscopic theory of linear, entangled polymer chains under rapid deformation including chain stretch and convective constraint release.," J. Rheol. 47, 1171-1200 (2003).
13. Heindl, M., M. K. Sommer, and H. Munstedt, " Morphology development in polystyrenepolyethylene blends during uniaxial elongational flow.," Rheol. Acta 44, 55 (2004).
14. Hu, Y. T., L. Wilen, A. Philips, and A. Lips, " Is the constitutive relation for entangled polymers monotonic?," J. Rheol. 51, 275-295 (2007).
15. Ianniruberto, G., and G. Marrucci, " A simple constitutive equation for entangled polymers with chain stretch.," J. Rheol. 45, 1305-1318 (2001).
16. Ide, Y., and J. L. White, " Investigation of failure during elongational flow of polymer melts.," J. Non-Newtonian Fluid Mech. 2, 281-298 (1977).
17. Joshi, Y. M., and M. M. Denn, " Rupture of entangled polymeric liquids in elongational flow.," J. Rheol. 47, 291-298 (2003).
18. Joshi, Y. M., and M. M. Denn, " Failure and recovery of entangled polymer melts in elongational flow.," in Rheology Reviews 2004, edited by, K. Walters, and, D. Binding, (British Society of Rheology, Aberystwyth, 2004).
19. Laun, H. M., and H. Münstedt, " Comparison of the elongational behaviour of a polyethylene melt at constant stress and constant rate.," Rheol. Acta 15, 517-524 (1976).
20. Laun, H. M., and H. Münstedt, " Elongational behaviour of a low density polyethylene melt.," Rheol. Acta 17, 415-425 (1978).
21. Laun, H. M., and H. Schuch, " Transient elongational viscosities and drawability of polymer melts.," J. Rheol. 33, 119-175 (1989).
22. Lodge, A. S., " Elastic recovery and polymer-polymer interactions.," Rheol. Acta 28, 351-362 (1989).
23. Malkin, A. Ya., and C. J. S. Petrie, " Some conditions for rupture of polymer liquids in extension.," J. Rheol. 41, 1-25 (1997).
24. Marrucci, G., " Dynamics of entanglements: A nonlinear model consistent with the Cox-Merz rule.," J. Non-Newtonian Fluid Mech. 62, 279-289 (1996).
25. McKinley, G. H., and O. Hassager, " The Consid̀re condition and rapid stretching of linear and branched polymer melts.," J. Rheol. 43, 1195-1212 (1999).
26. McKinley, G. H., and T. Sridhar, " Filament-stretching rheometry of complex fluids.," Annu. Rev. Fluid Mech. 34, 375-415 (2002).
27. Meissner, J., " Elongation behavior of polyethylene melts.," Rheol. Acta 10, 230-242 (1971).
28. Meissner, J., " Experimental aspects in polymer melt elongational rheometry.," Chem. Eng. Commun. 33, 159-180 (1985a).
29. Meissner, J., " Rheometry of polymer melts.," Annu. Rev. Fluid Mech. 17, 45-64 (1985b).
30. Meissner, J., and J. Hostettler, " A new elongational rheometer for polymer melts and other highly viscoelastic liquids.," Rheol. Acta 33, 1-21 (1994).
31. Meissner, J., T. Raible, and S. E. Stephenson, " Rotary clamp in uniaxial and biaxial extensional rheometry of polymer melts.," J. Rheol. 25, 1 (1981).
32. Münstedt, H., and H. M. Laun, " Elongational behavior of a low density polyethylene melt. II. Transient behavior in constant stretching rate and tensile creep experiments. Comparison with shear data. Temperature dependence of the elongational properties.," Rheol. Acta 18, 492-504 (1979).
33. Münstedt, H., and M. H. Laun, " Elongational properties and molecular structure of polyethylene melts.," Rheol. Acta 20, 211 (1981).
34. Münstedt, H., T. Steffl, and A. Malmberg, " Correlation between rheological behaviour in uniaxial elongation and film blowing properties of various polyethylenes.," Rheol. Acta 45, 14-22 (2005).
35. 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 (2006).
36. Osaki, K., " On the damping function of shear relaxation modulus for entangled polymers.," Rheol. Acta 32, 429-437 (1993).
37. Osaki, K., and M. Kurata, " Experimental appraisal of the Doi-Edwards theory for polymer rheology based on the data for polystyrene solutions.," Macromolecules 13 671-676 (1980).
38. Osaki, K., K. Hishizawa, and M. Kurata, " Material time constant characterizing the non-linear viscoelasticity of entangled polymeric systems.," Macromolecules 15 1068-1071 (1982).
39. Petrie, C. J. S., Elongational Flows (Pitman, London, 1979).
40. Rasmussen, H. K., J. K. Nielsen, A. Bach, and O. Hassager, " Viscosity overshoot in the start-up of uniaxial elongation of low density polyethylene melts.," J. Rheol. 49, 369-381 (2005).
41. Ravindranath, S., and S. Q. Wang, " What are the origins of stress relaxation behaviors in step shear entangled polymer solutions.," Macromolecules 40, 8031-8039 (2007).
42. Ravindranath, S., and S. Q. Wang, " Banding in simple steady shear of entangled polymer solutions.," Macromolecules 41, 2663-2670 (2008a).
43. Ravindranath, S., and S. Q. Wang, " Steady state measurements in stress plateau region of entangled polymer solutions: entanglement- disentanglement transition and beyond.," J. Rheol. 52, 957-980 (2008b).
44. Ravindranath, S., and S. Q. Wang, " Universal scaling characteristics of stress overshoot in startup shear of entangled polymer solutions.," J. Rheol. 52, 681-695 (2008c).
45. Schweizer, T., " The uniaxial elongational rheometer RME-Six years of experience.," Rheol. Acta 39, 428-443 (2000).
46. Sentmanat, M. L., " Miniature universal testing platform: from extensional melt rheology to solid-state deformation behavior.," Rheol. Acta 43, 657-669 (2004).
47. Sentmanat, M. L., 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).
48. Tapadia, P., and S. Q. Wang, " Direct visualization of continuous simple shear in non-Newtonian polymeric fluids.," Phys. Rev. Lett. 96, 016001 (2006).
49. Tirtaatmadja, V., and T. Sridhar, " A filament stretching device for measurement of extensional viscosity.," J. Rheol. 37, 1081-1102 (1993).
50. Vinogradov, G. V., " Viscoelasticity and fracture phenomenon in uniaxial extension of high-molecular linear polymers.," Rheol. Acta 14, 942-954 (1975).
51. Vinogradov, G. V., A. Ya. Malkin, V. V. Volosevitch, V. P. Shatalov, and V. P. Yudin, " Flow, high-elastic (recoverable) deformation, and rupture of uncured high molecular weight linear polymers in uniaxial extension.," J. Polym. Sci., Polym. Phys. Ed. 13, 1721-1735 (1975).
52. Wang, S. Q., S. Ravindranath, P. E. Boukany, M. Olechnowicz, R. P. Quirk, A. Halasa, and J. Mays, " Non-quiescent relaxation in entangled polymeric liquids after step shear.," Phys. Rev. Lett. 97, 187801 (2006).
53. Wang, S. Q., S. Ravindranath, Y. Wang, and P. E. Boukany, " New theoretical considerations in polymer rheology: elastic breakdown of entanglement network.," J. Chem. Phys. 127, 064903-1-064903-14 (2007a).
54. Wang, Y., S. Q. Wang, P. E. Boukany, and X. Wang, " Elastic breakup in uniaxial extension of entangled polymer melts.," Phys. Rev. Lett. 99, 237801 (2007b).
55. Yao, M. W., G. H. McKinley, and B. Debbaut, " Extensional deformation, stress relaxation and necking failure of viscoelastic filaments.," J. Non-Newtonian Fluid Mech. 79, 469-501 (1998).