Extensional deformation, stress relaxation and necking failure of viscoelastic filaments

Journal of Non-Newtonian Fluid Mechanics

Volumn 79, Issue 2-3, 1998, Pages 469-501

  Yao, Minwu ^a   McKinley, Gareth H ^b   Debbaut, Benoit ^c  

^a OHIO AEROSPACE INSTITUTE   (United States)

^b USA   (United States)

^c Fluent Benelux   (Belgium)

Author keywords

Fluid dynamics; Stress; Viscoelastic fluid

Indexed keywords

COMPUTATIONAL METHODS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; KINEMATICS; MATHEMATICAL MODELS; PLASTIC FILAMENTS; POLYSTYRENES; SHEAR DEFORMATION; STRAIN; STRESS RELAXATION; TENSILE PROPERTIES; VISCOELASTICITY;

CONCENTRATED SHEAR-THINNING POLYSTYRENE SOLUTIONS; MULTIMODE GIESEKUS MODEL; NEWTONIAN FILAMENTS; VISCOELASTIC FILAMENTS;

PLASTIC FLOW;

FLUID DYNAMICS; STRESS; VISCOELASTIC FLUID;

EID: 0032215865     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0257(98)00116-5     Document Type: Article

References (73)

1. M.M. Denn, in: J.L. Lumley, A. Acrivos, L.G. Leal, S. Leibovich (Eds.), Research Trends in Fluid Dynamics, AIP Press, New York, 1996, pp. 69-76.
2. Matta J.E., Tytus R.P. J. Non-Newtonian Fluid Mech. 35:1990;215-229.
3. Sridhar T., Tirtaatmadja V., Nguyen D.A., Gupta R.K. J. Non-Newtonian Fluid Mech. 40:1991;271-280.
4. Tirtaatmadja V., Sridhar T. J. Rheol. 37:1993;1081-1102.
5. Berg S., Kröger R., Rath H.J. J. Non-Newtonian Fluid Mech. 55:1994;307-319.
6. Spiegelberg S.H., Ables D.C., McKinley G.H. J. Non-Newtonian Fluid Mech. 64:1996;229-267.
7. Spiegelberg S.H., McKinley G.H. J. Non-Newtonian Fluid Mech. 67:1997;49-76.
8. Solomon M.J., Muller S.J. J. Rheol. 40:1996;837-856.
9. A. Jain, D.S. Shackleford, K.W. Koelling, The 68th Society of Rheology Annual Meeting, 1997.
10. van Nieuwkoop J., Muller von Czernicki M.M.O. J. Non-Newtonian Fluid Mech. 67:1996;105-123.
11. R.B. Bird, R.C. Armstrong, O. Hassager, Dynamics of polymeric liquids, vol. 1, Fluid Mechanics, 2nd ed., Wiley, New York, 1987.
12. Shipman R.W.G., Denn M.M., Keunings R. J. Non-Newtonian Fluid Mech. 40:1991;281-288.
13. Gaudet S., McKinley G.H., Stone H.A. Phys. Fluids. 8:1996;2568-2579.
14. Yao M., McKinley G.H. J. Non-Newtonian Fluid Mech. 74:1998;47-88.
15. Sizaire R., Legat V. J. Non-Newtonian Fluid Mech. 71:1997;89-107.
16. M.R.J. Verhoef, B.H.A.A. van den Brule, M.A. Hulsen, J. Non-Newtonian Fluid Mech., 1998, submitted.
17. Kolte M.I., Rasmussen H.K., Hassager O. Rheol. Acta. 36:1997;285-302.
18. Szabo P. Rheol. Acta. 36:1997;277-284.
19. M. Yao, S.H. Spiegelberg, G.H. McKinley, J. Non-Newtonian Fluid Mech., 1998, submitted.
20. Renardy M. J. Non-Newtonian Fluid Mech. 51:1994;97-107.
21. Renardy M. J. Non-Newtonian Fluid Mech. 59:1995;267-282.
22. Bousfield D.W., Keunings R., Marrucci G., Denn M.M. J. Non-Newtonian Fluid Mech. 21:1986;79-97.
23. Li J.M., Burghardt W., Yang B., Khomami B. J. Non-Newtonian Fluid Mech. 74:1998;151-194.
24. Ooi Y.W., Sridhar T. J. Non-Newtonian Fluid Mech. 52:1994;153-162.
25. Hassager O., Kolte M.I., Renardy M. J. Non-Newtonian Fluid Mech. 76:1998;137-152.
26. Considère M. Annales des Ponts et Chaussées. 9:1885;574.
27. Malkin A.Y., Petrie C.J.S. J. Rheol. 41:1997;1-25.
28. O. Hassager, personal communication, 1998.
29. Boger D.V., Crochet M.J., Keiller R.A. J. Non-Newtonian Fluid Mech. 44:1992;267-279.
30. Purnode B., Crochet M.J. J. Non-Newtonian Fluid Mech. 65:1996;269-289.
31. Purnode B., Crochet M.J. J. Non-Newtonian Fluid Mech. 77:1998;1-20.
32. Debbaut B., Avalosse T., Dooley J., Hughes K. J. Non-Newtonian Fluid Mech. 69:1997;255-271.
33. R. Sizaire, Ph.D. Thesis, Universite Catholique de Louvain, Louvain-la-Neuve, Belgium, Chap. 3, 1998.
34. R. Sizaire, V. Legat, J. Rheol., 1998, submitted.
35. Bodart C., Crochet M.J. J. Non-Newtonian Fluid Mech. 54:1994;303-329.
36. Satrape J.V., Crochet M.J. J. Non-Newtonian Fluid Mech. 55:1994;91-111.
37. Beraudo C., Fortin A., Coupez T., Demay Y., Vergnes B., Agassant J.F. J. Non-Newtonian Fluid Mech. 75:1998;1-23.
38. Orr N., Sridhar T. J. Non-Newtonian Fluid Mech. 67:1996;77-104.
39. A.V. Bazilevsky, V.M. Entov, A.N. Rozhkov, in: D.R. Oliver (Ed.), Third European Rheology Conference, Elsevier, Amsterdam, 1990.
40. Entov V.M., Hinch E.J. J. Non-Newtonian Fluid Mech. 72:1997;31-54.
41. Giesekus H. J. Non-Newtonian Fluid Mech. 11:1982;69-109.
42. Bird R.B., Wiest J.M. J. Rheol. 29:1985;519-532.
43. Hulsen M.A., van der Zanden J. J. Non-Newtonian Fluid Mech. 38:1991;183-222.
44. Rajagopalan D., Byars J.A., Armstrong R.C., Brown R.A., Lee J.S., Fuller G.G. J. Rheol. 36:1992;1349-1375.
45. Rajagopalan D., Arigo M.T., McKinley G.H. J. Non-Newtonian Fluid Mech. 65:1996;17-46.
46. M.J. Crochet, A.R. Davies, K. Walters, Numerical Simulation of Non-Newtonian Flows, Elsevier, Amsterdam, 1984.
47. M.J. Crochet, B. Debbaut, R. Keunings, J.M. Marchal, in: K.T. O'Brien (Ed.), Applications of CAE in Extrusion and Other Continuous Processes, Chap. 2, Carl Hanser, München, 1992.
48. Polyflow User's Manual, ver. 3.5.0, Polyflow s.a., Place de l'Université 16, B-1348 Louvainla-Neuve, Belgium, 1996.
49. van Schaftingen J.J., Crochet M.J. Int. J. Numer. Methods in Fluids. 4:1984;1065-1081.
50. R. Keunings, in: C.L. Tucker III (Ed.), Fundamentals of Computer Modeling for Polymer Processing, Chap. 9, Carl Hanser, München, 1988.
51. Crochet M.J. Rubber Chem. Technol. 62:1989;425-455.
52. Debae F., Legat V., Crochet M.J. J. Rheol. 38:1994;421-442.
53. Kawahara M., Takeushi N. Comput. Fluids. 5:1977;33-45.
54. Crochet M.J., Keunings R. J. Non-Newtonian Fluid Mech. 7:1980;199-212.
55. Crochet M.J., Keunings R. J. Non-Newtonian Fluid Mech. 10:1982;85-94.
56. Crochet M.J., Keunings R. J. Non-Newtonian Fluid Mech. 10:1982;339-356.
57. Keunings R., Crochet M.J., Denn M.M. Ind. Eng. Chem. Fundam. 22:1983;347-355.
58. van Schaftingen J.J., Crochet M.J. J. Non-Newtonian Fluid Mech. 18:1985;335-351.
59. Debbaut B., Crochet M.J. J. Non-Newtonian Fluid Mech. 20:1986;173-185.
60. Marchal J.M., Crochet M.J. J. Non-Newtonian Fluid Mech. 26:1987;77-114.
61. Debbaut B., Marchal J.M., Crochet M.J. J. Non-Newtonian Fluid Mech. 29:1988;119-146.
62. Debbaut B. J. Non-Newtonian Fluid Mech. 36:1990;265-275.
63. Keunings R. J. Comput. Phys. 62:1985;199-220.
64. Keunings R., Bousfield D.W. J. Non-Newtonian Fluid Mech. 22:1987;219-233.
65. Lynch D.R., Gray W.G. J. Comput. Phys. 36:1980;135-154.
66. Josse S.L., Finlayson B.A. J. Non-Newtonian Fluid Mech. 16:1984;13-36.
67. Bousfield D.W., Keunings R., Denn M.M. J. Non-Newtonian Fluid Mech. 27:1988;207-221.
68. Bodart Ch., Crochet M.J. Theor. Comp. Fluid Dyn. 5:1993;57-75.
69. Georgiou G.C., Crochet M.J. J. Rheol. 38:1994;1745-1755.
70. P.M. Gresho, R.L. Lee, R.L. Sani, Recent Advances in Numerical Methods in Fluids, Pineridge, Swansea, 1980.
71. Gresho P.M., Chang S.T., Lee R.L., Upson C.D. Int. J. Numer. Methods in Fluids. 4:1984;557-598.
72. J.F. Thompson, Z.U.A. Warsi, C. Wayne Mastin, Numerical Grid Generation - Foundations and Applications, Elsevier, Amsterdam, 1985.
73. Yerushalmi M., Pfeffer H., Shinnar R. J. Fluid Mech. 38:1969;689.