New theoretical considerations in polymer rheology: Elastic breakdown of chain entanglement network

Journal of Chemical Physics

Volumn 127, Issue 6, 2007, Pages

  Wang, Shi Qing ^a   Ravindranath, Sham ^a   Wang, Yangyang ^a   Boukany, Pouyan ^a  

^a The University of Akron

Author keywords

[No Author keywords available]

Indexed keywords

DEFORMATION; ELASTICITY; RHEOLOGY;

CHAIN DEFORMATION; CONTINUOUS DEFORMATION; DISENTANGLEMENT CRITERION; ENTANGLEMENT NETWORK;

POLYMERS;

EID: 34547892698     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2753156     Document Type: Article

References (60)

1. F. Bueche, Physical Properties of Polymers (Wiley, New York, 1962).
2. W. W. Graessley, Adv. Polym. Sci. 16, 1 (1974).
3. J. D. Ferry, Viscoelastic Properties of Polymers, 3rd ed. (Wiley, New York, 1980).
4. M. S. Green and A. V. Tobolsky, J. Chem. Phys. 14, 80 (1946).
5. P. G. de Gennes, J. Chem. Phys. 55, 572 (1971).
6. M. Doi and S. F. Edwards, The Theory of Polymer Dynamics, 2nd ed. (Clarendon, Oxford, 1988).
7. R. S. Graham, A. E. Likhtman, T. C. B. McLeish, and S. T. Milner, J. Rheol. 47, 1171 (2003).
8. M. Fuchs and K. S. Schweizer, Macromolecules 0024-9297 10.1021/ma970234b 30, 5133 (1997); M. Fuchs and K. S. Schweizer, Macromolecules 0024-9297 10.1021/ma9702354 30, 5156 (1997); K. S. Schweizer, M. Fuchs, G. Szamel, M. Guenza, and H. Tang, Macromol. Theory Simul. 6, 1037 (1997).
9. M. Fuchs and K. S. Schweizer, Macromolecules 0024-9297 10.1021/ma970234b 30, 5133 (1997); M. Fuchs and K. S. Schweizer, Macromolecules 0024-9297 10.1021/ma9702354 30, 5156 (1997); K. S. Schweizer, M. Fuchs, G. Szamel, M. Guenza, and H. Tang, Macromol. Theory Simul. 6, 1037 (1997).
10. M. Fuchs and K. S. Schweizer, Macromolecules 0024-9297 10.1021/ma970234b 30, 5133 (1997); M. Fuchs and K. S. Schweizer, Macromolecules 0024-9297 10.1021/ma9702354 30, 5156 (1997); K. S. Schweizer, M. Fuchs, G. Szamel, M. Guenza, and H. Tang, Macromol. Theory Simul. 6, 1037 (1997).
11. M. Doi, J. Polym. Sci., Polym. Phys. Ed. 18, 1005 (1980).
12. K. Osaki, K. Nishizawa, and M. Kurata, Macromolecules 15, 1068 (1982).
13. S. Q. Wang, S. Ranvindranath, P. Boukany, M. Olechnowicz, R. P. Quirk, A. Halasa, and J. Mays, Phys. Rev. Lett. 97, 187801 (2006).
14. M. Doi and S. F. Edwards, J. Chem. Soc., Faraday Trans. 2 75, 38 (1979).
15. P. Tapadia and S. Q. Wang, Phys. Rev. Lett. 96, 016001 (2006).
16. P. Boukany and S. Q. Wang, J. Rheol. 51, 217 (2007).
17. G. Ianniruberto and G. Marrucci, J. Non-Newtonian Fluid Mech. 65, 241 (1996).
18. D. W. Mead, R. G. Larson, and M. Doi, Macromolecules 31, 7895 (1998).
19. G. Ianniruberto and G. Marrucci, J. Non-Newtonian Fluid Mech. 95, 363 (2000).
20. S. T. Milner, T. C. B. McLeish, and A. E. Likhtman, J. Rheol. 45, 539 (2001).
21. G. Marrucci and G. Ianniruberto, Philos. Trans. R. Soc. London, Ser. A 361, 677 (2003).
22. G. Marrucci, J. Non-Newtonian Fluid Mech. 62, 241 (1996).
23. J. F. Douglas and J. B. Hubbard, Macromolecules 24, 3163 (1991).
24. H. Mendil, P. Baroni, and L. Noirez, Eur. Phys. J. E 19, 77 (2006).
25. M. Guenza, Phys. Rev. Lett. 88, 025901 (2002).
26. R. H. Colby, D. C. Boris, W. E. Krause, and S. Dou, Rheol. Acta 46, 569 (2007).
27. S. Q. Wang, J. Polym. Sci., Part B: Polym. Phys. 41, 1589 (2003).
28. L. J. Fetters, D. J. Lohse, S. T. Milner, and W. W. Graessley, Macromolecules 32, 6847 (1999).
29. N. Heymans, Macromolecules 33, 4226 (2000). This article reviewed most of available theoretical models on the subject of chain entanglement.
30. Y.-H. Lin, Macromolecules 20, 3080 (1987).
31. T. A. Kavassalis and J. Noolandi, Macromolecules 0024-9297 59, 2674 (1987); T. A. Kavassalis and J. Noolandi, Macromolecules 0024-9297 10.1021/ma00187a037 21, 2869 (1988); T. A. Kavassalis and J. Noolandi, Macromolecules 22, 2709 (1988).
32. T. A. Kavassalis and J. Noolandi, Macromolecules 0024-9297 59, 2674 (1987); T. A. Kavassalis and J. Noolandi, Macromolecules 0024-9297 10.1021/ma00187a037 21, 2869 (1988); T. A. Kavassalis and J. Noolandi, Macromolecules 22, 2709 (1988).
33. T. A. Kavassalis and J. Noolandi, Macromolecules 0024-9297 59, 2674 (1987); T. A. Kavassalis and J. Noolandi, Macromolecules 0024-9297 10.1021/ma00187a037 21, 2869 (1988); T. A. Kavassalis and J. Noolandi, Macromolecules 22, 2709 (1988).
34. L. J. Fetters, D. J. Lohse, D. Richter, T. A. Witten, and A. Zirkel, Macromolecules 27, 4639 (1994).
35. L. J. Fetters, D. J. Lohse, and W. W. Graessley, J. Polym. Sci., Part B: Polym. Phys. 37, 1023 (1999).
36. R. P. Wool, Macromolecules 26, 1564 (1993).
37. S. Q. Wang, Macromolecules (to be published).
38. H. M. James and E. Guth, J. Chem. Phys. 11, 455 (1943).
39. M. Fixman, J. Chem. Phys. 95, 1410 (1991).
40. J. Gao and J. H. Weiner, Macromolecules 24, 5179 (1991).
41. A. F. Bower and J. H. Weiner, J. Chem. Phys. 118, 11297 (2003).
42. J. Ramírez, S. K. Sukumaran, and A. E. Likhtman, J. Chem. Phys. (to be published).
43. S. Ravindranath and S. Q. Wang, Macromolecules (to be published).
44. M. E. Cates, T. C. B. McLeish, and G. Marrucci, Europhys. Lett. 21, 451 (1993).
45. S. Ravindranath and S. Q. Wang, Macromolecules (to be published).
46. Y. Wang, S. Q. Wang, P. Boukany, and X. Wang, Phys. Rev. Lett. (submitted).
47. P. Boukany and S. Q. Wang (unpublished).
48. J. D. Huppler, I. F. Macdonald, E. Ashare, T. W. Spriggs, R. B. Bird, and L. A. Holmes, Trans. Soc. Rheol. 11, 181 (1967).
49. R. L. Crawley and W. W. Graessley, Trans. Soc. Rheol. 21, 19 (1977).
50. E. V. Menezes and W. W. Graessley, J. Polym. Sci., Polym. Phys. Ed. 20, 1817 (1982).
51. C. Pattamaprom and R. G. Larson, Macromolecules 34, 5229 (2001).
52. P. Tapadia and S. Q. Wang, Macromolecules 37, 9083 (2004).
53. S. Ravindranath and S. Q. Wang, J. Rheol. (to be published).
54. Y. Wang and S. Q. Wang, J. Rheol. (to be published).
55. W. W. Graessley and S. F. Edwards, Polymer 22, 1329 (1981).
56. S. Wang, S. Q. Wang, A. Halasa, and W.-L. Hsu, Macromolecules 36, 5355 (2003).
57. S. Glasstone, K. J. Laidler, and H. Eyring, The Theory of Rate Processes (McGraw-Hill, New York, 1941).
58. P. G. de Gennes, J. Phys. (Paris) 36, 1199 (1975).
59. S. Matsuoka, Relaxation Phenomena in Polymers (Hanser, New York, 1992).
60. Y. Wang, P. Boukany, and S. Q. Wang, J. Rheol. (to be published). Wall slip due to disentanglement of the adsorbed chains with bulk chains also follow the discovered criteria discussed in Sec.. For different entangled melts undergoing displacement-driven simple shear in a homemade parallel-plate sliding rheometer, we observed, using our particle tracking-velocimetric method, that the boundary condition would remain no slip during shear, yet massive wall slip was observed upon shear cessation, which we call "arrested wall slip." This counterintuitive phenomenon, initially anticipated by theoretical considerations reflected in Eq., occurs because upon shear cessation, fiml vanishes instantly so that the available fretract only needs to be beyond a threshold defined by fent to produce chain disentanglement at the melt/wall interface.