Present challenges in the numerical modeling of polymer-forming processes

Canadian Journal of Chemical Engineering

Volumn 80, Issue 6, 2002, Pages 1143-1152

  Vergnes, Bruno ^a   Vincent, Michel ^a   Demay, Yves ^a   Coupez, Thierrey ^a   Billon, Noëlle ^a   Agassant, Jean François ^a  

^a PSL RESEARCH UNIVERSITY   (France)

Author keywords

Extrusion; Injection; Modeling; Polymer processing

Indexed keywords

COMPUTER SIMULATION; EXTRUSION; INJECTION MOLDING; PLASTICS FORMING;

FILM PROCESSING;

CHEMICAL ENGINEERING;

EXTRUSION; INDUSTRIAL APPLICATION; INJECTION MOLDING; MATHEMATICAL ANALYSIS; POLYMER; PROCESSING TECHNIQUE;

ARTICLE; CALCULATION; FILM; INJECTION; MATHEMATICAL ANALYSIS; MATHEMATICAL MODEL; POLYMER PRODUCTION; TUBE;

EID: 0037600528     PISSN: 00084034     EISSN: None     Source Type: Journal    
DOI: 10.1002/cjce.5450800616     Document Type: Article

References (75)

1. Agassant J.-F., B. Vergnes and M. Vincent, "Polymer Processing Modelling: Approximation Methods", in "Rheological Fundamentals of Polymer Processing", J.A. Covas, J.F. Agassant, A.C. Diogo, J. Vlachopoulos, K. Walters, Eds., Nato Asi Series, Kluwer, Academic Publishers, Dordrecht, The Netherlands (1995), pp. 191-208.
2. Agassant, J.-F., T. Coupez, Y. Demay, B. Vergnes and M. Vincent, "Thermomechanical Modelling of Polymer Processing", in "Advances in the Flow and Rheology of Non-Newtonian Fluids", D.A. Siginer, R.P. Chhabra and D. De Kee Eds., Part B, Elsevier, Amsterdam, The Netherlands (1999), pp. 893-938.
3. Alaie, S.M. and T.C. Papanastasiou, "Modeling of Non Isothermal Film Blowing with Integral Constitutive Equations", Intern. Polym. Proc. 8, 51-65 (1993).
4. Anastassakis, D.R.C.E., "Biaxially Oriented Rigid PVC Pipes", in "Interrelations between Processing, Structure and Properties of Polymeric Materials", J.C. Seferis, P.S Theocaris, Eds., Elsevier, Amsterdam, The Netherlands (1984), pp. 459-470.
5. André, J.M., J.-F. Agassant, Y. Demay, J.M. Haudin and B. Monasse, "Numerical Modelling of the Polymer Film Blowing Process", Intern. J. Forming Proc. 1, 187-210 (1998).
6. Ashok, B.K. and G.A. Campbell, "Two-Phase Simulation of Tubular Film Blowing of Crystalline Polymers", Intern. Polym. Proc. 7, 240-247 (1992).
7. Ausias, G., J.-F. Agassant and M. Vincent, "Flow and Fiber Orientation Calculations in Reinforced Thermoplastic Extruded Tubes", Intern. Polym. Proc. 9, 51-59 (1994).
8. th Int. ESAFORM Conf.", Kraków, Poland (2002), pp. 131-134.
9. Berzin, F. and B. Vergnes, "Transesterification of Ethylene Acetate Copolymer in a Twin Screw Extruder", Intern. Polym. Proc. 13, 13-22 (1998).
10. Berzin, F., B. Vergnes, P. Dufossé and L. Delamare, "Modelling of Peroxide Initiated Controlled Degradation of Polypropylene in a Twin Screw Extruder", Polym. Eng. Sci. 40, 344-356 (2000).
11. Bigot, E. and T. Coupez, "Capture of 3D Moving Free Surfaces and Material Interfaces by Mesh Deformation", in "Proc. Europ. Congress Comp. Meth. Appl. Sciences Eng., ECCOMAS 2000", CD-ROM, Barcelona, Spain (2000).
12. Billon, N., H. Kappel, S. Crozet, F. Bay, J.-F. Agassant and J.M. Haudin, "Relations Anisotropie - Propriétés Mécaniques de Tubes PVC Biorientés", La Revue de Métallurgie-CIT/Science et Génie des Matériaux 12, 1517-1522 (1999).
13. Chiang, H.H., C.A. Hieber and K.K. Wang, "A Unified Simulation of the Filling and Postfilling Stages in Injection Molding. I. Formulation", Polym. Eng. Sci. 31, 116-124 (1991).
14. th Int. ESAFORM Conf.", Kraków, Poland (2002), pp. 107-110.
15. Coupez, T. and S. Marie, "From a Direct Solver to a Parallel Iterative Solver in 3D Forming Simulation", Int. J. Supercomp. Appl. 11, 205-211 (1997).
16. Coupez, T. and E. Pichelin, "Solution of the 3D Mold Filling by a Taylor Discontinuous Galerkin Method", in "World Congress on Computational Mechanics", CD-ROM, CIMNE, Buenos Aires, Argentina (1998).
17. nd ESAFORM Conference", 12-16 Avril 1999, Guimaraes, Portugal (1999), pp. 477-480.
18. Coupez, T. and E. Bigot, "3D Anisotropic Mesh Generation and Adaptation with Applications", in: "Proc. Europ. Congress Comp. Meth. Appl. Sciences Eng., ECCOMAS 2000", CD-ROM, Barcelona, Spain (2000).
19. Debbaut, B. and I.M. Marchal, "Viscoelastic Effects in Film Casting", Z. Angew. Math. Phys. 6, 679-698 (1995).
20. Denn, M.M., C.J.S. Petrie and P. Avenas, "Mechanics of Melt Spinning of a Viscoelastic Liquid", AIChE J. 21, 791-799 (1975).
21. Dupret, F., A. Couniot, O. Mal, L. Vanderschuren and O. Verjoyen, "Modelling and Simulation of Injection Molding", in "Advances in the Flow and Rheology of Non-Newtonian Fluids", D.A. Siginer, D. De Kee and R.P. Chhabbra, Eds., Elsevier, Amsterdam, The Netherlands (1999), pp. 939-1010.
22. Fritz, H.G. and Stöhrer B., "Polymer Compounding Process for Controlled Peroxide-Degradation of PP", Intern. Polym. Proc. 1, 31-41 (1986).
23. Gaspar-Cunha, A., A. Poulesquen, B. Vergnes and J.A. Covas, "Optimization of Processing Conditions for Polymer Twin-Screw Extrusion", Intern. Polym. Proc. 17, 201-213 (2002).
24. Ghaned-Fard, A., P.J. Carreau and P.G. Lafleur, "Study of Instabilities in Film Blowing", AIChE J. 42, 1388-1396 (1996).
25. Gobeau, J.F., T. Coupez, B. Vergnes and J.-F. Agassant, "Computations of Profile Dies for Thermoplastic Polymers using Anisotropic Meshing", in "Simulation of Materials Processing: Theory, Methods and Applications", S.F. Shen, P. Dawson Eds., Balkema, Rotterdam, The Netherlands (1995), p. 59.
26. Goettler, L.A., "Mechanical Property Enhancement in Short-Fiber Composites Through the Control of Fiber Orientation During Fabrication", Polym. Compos. 5, 60-71 (1984).
27. Grefenstien, A., "Reaktive Extrusion und Aufbereitung", Hanser, Munich, Germany (1996).
28. Han, C.D. and J.Y. Park, "Studies on Blown Film Extrusion, Analysis of the Deformation and Heat Transfer Processes", J. Appl. Polym. Sci. 19, 3277-3290 (1975).
29. Hieber, C.A. and S.F. Shen, "Flow Analysis of the Non-Isothermal Two-Dimensional Filling Process in Injection Molding", Israel J. Techn. 16, 248-254 (1978).
30. Huneault, M. A., P.G. Lafleur and P.J. Carreau, "Evaluation of the FAN Technique for Profile Die Design", Intern. Polym. Proc. 11, 50-57 (1996).
31. Hurez, P., P.A. Tanguy and D. Blouin, "Numerical Simulation of Profile Extrusion Dies without Flow Separation", Polym. Eng. Sci. 33, 971-979 (1993).
32. Ilinca, F. and J.F. Hetu, "Three Dimensional Filling and Post-filling Simulation of Polymer Injection Molding", Intern. Polym. Proc. 16, 291-301 (2001 a).
33. Ilinca, F. and J.F. Hetu, "Three Dimensional Finite Element Solution of Gas-assisted Injection Molding", Int. J. Numer. Meth. Eng. 53, 2003-2017 (2001b).
34. Isayev, A.I., "Modeling of Polymer Processing. Recent Developments", Hanser, Munich, Germany (1991).
35. Kabanemi, K.K., J.F. Hetu and A. Garcia-Rejon, "Numerical Simulation of the Flow and Fiber Orientation in Reinforced Thermoplastic Injection Molded Products", Intern. Polym. Proc. 12, 182-191 (1997).
36. Kanai, T. and J.L. White, "Kinematics, Dynamics and Stability of the Tubular Film Extrusion of Various Polyethylenes", Polym. Eng. Sci. 24, 1185-1201 (1984).
37. Kanai, T. and J.L. White, "Dynamics, Heat Transfer and Structure Development in Tubular Film Extrusion of Polymer Melts: A Mathematical Model and Predictions", J. Polym. Eng. 5, 135-157 (1985).
38. Kye, H. and J.L. White, "Simulation of Continuous Polymerization in a Modular Intermeshing Co-rotating Twin Screw Extruder", Intern. Polym. Proc. 11, 129-138 (1996).
39. Laffargue J., L. Parent, P.G. Lafleur, P.J. Carreau, Y. Demay and J.-F. Agassant, "Investigation of Bubble Instabilities in Film Blowing Process", Intern. Polym. Proc. 17, 347-353 (2002).
40. Lokse, G. and S. Marinow, "Modell des Folienblasprozesses zur Beschreibung von elastischen Deformation III. Lösung und experimentelle Uberprüfung des Modells", Plaste Kautsch. 33, 221-226 (1986).
41. Luo, X.L. and R.I. Tamer, "A Computer Study of Film Blowing", Polym. Eng. Sci. 25, 620-629 (1983).
42. Manzione, L.T., "Applications of Computer Assisted Engineering in Injection Molding", Hanser, Munich, Germany (1987).
43. McKelvey J. M., "Polymer Processing", Wiley, New York, NY (1962).
44. Menges, G., W. Michaeli and R Mohren, "How to Make Injection Molds?", Hanser, Munich, Germany (2001).
45. Michaeli, W., "Extrusion Dies for Plastics and Rubber", Hanser, Munich, Germany (1991).
46. Michaeli, W., A. Grefenstein and U. Berghaus, "Twin Screw Extruders for Reactive Extrusion", Polym. Eng. Sci. 35, 1485-1504 (1995).
47. Michaeli, W., S. Hoffmann, M. Kratz and K. Webelhaus, "Simulation Opportunities by a Three-dimensional Calculation of Injection Moulding based on the Finite Element Method", Intern. Polym. Proc. 16, 398-403 (2001).
48. Minoshima, W. and J.L. White, "Instability Phenomena in Tubular Film and Melt Spinning of Rheologically Characterized High Density, Low Density and Linear Low Density Polyethylene", J. Non-Newt. Fluid Mech. 19, 275-302 (1986).
49. Nelder, J.A. and R. Mead, "A Simplex Method for Function Minimization", Comput. J. 7, 308-313 (1965).
50. Pearson, J.R.A., "Mechanical Principles of Polymer Melt Processing", Pergamon Press, London, UK (1966).
51. Pearson, J.R.A. and M.A. Matovich, "Spinning a Molten Threadline: Stability", Ind. Eng. Chem. Fund. 8, 605-609 (1969).
52. Pearson, J.R.A. and C.J.S. Petrie, "The Flow of a Tubular Film: Part 1, Formal Mathematical Representation", J. Fluid. Mech. 40, 1-9 (1970).
53. Pearson, J.R.A. and S.M. Richardson, "Computational Analysis of Polymer Processing", Applied Science Publishers, London, UK (1983).
54. Petrie, C.J.S., "Mathematical Modelling of Heat Transfer in Film Blowing: A Case Study", Plast. Polym. 42, 259-264 (1974).
55. Pichelin, E. and T. Coupez, "Finite Element Solution of the 3D Mold Filling Problem for Viscous Incompressible Fluid", Comput. Methods Appl. Mech. Engr. 163, 359-371 (1998).
56. Potente, H., J. Ansahl and R. Wittemeier, "Throughput Characteristics of Tightly Intermeshing Corotating Twin Screw Extruders", Intern. Polym. Proc. 5, 208-216 (1990).
57. Potente, H. and M. Hansen, "The Gas Assisted Injection Molding Process, Comparison between Experiments and Simulation", Intern. Polym. Proc. 8, 345-351 (1993).
58. Poulesquen, A., B. Vergnes, P. Cassagnau, J. Gimenez and A. Michel, "Polymerization of ε-Caprolactone in a Twin Screw Extruder: Experimental Study and Modelling", Intern. Polym. Proc. 16, 31-38 (2001).
59. Reese, C., T. Marchal and J.M. Marchal, "Use of Die Modelling to Improve the Manufacturing Process for Extruded Silicone Rubber", SPE ANTEC Tech. Papers 1, 94-99 (1994).
60. Selwood, A., A.K. Taraiya, I.M. Ward and R. A. Chivers, "The Preparation and Properties of Die-drawn PVC Tubes", Plast. Rubber Proc. Appl. 10, 85-91 (1988).
61. Sidiropoulos, V. and J. Vlachopoulos, "An Investigation of Venturi and Coanda Effects in Blown Film Cooling", Intern. Polym. Proc. 15, 40-45 (2000).
62. Sidiropoulos, V. and J. Vlachopoulos, "Numerical Study of Internal Bubble Cooling (IBC) in Film Blowing", Intern. Polym. Proc. 16, 48-53 (2001).
63. Silagy, D., Y. Demay and J.-F. Agassant, "Study of the Stability of the Film Casting Process", Polym. Eng. Sci. 36, 2614-2625 (1996).
64. Silagy, D., Y. Demay and J.-F. Agassant, "Stationary and Stability Analysis of the Film Casting Process", J. Non-Newt. Fluid Mech. 79, 563-583 (1998).
65. Svabik, J., L. Placek and P. Saha, "Profile Die Design based on Flow Balancing", Intern. Polym. Proc. 14, 247-253 (1999).
66. Szarvasy, I., J. Sienz, J.F.T Pittman and E. Hinton, "Computer Aided Optimization of Profile Extrusion Dies", Intern. Polym. Proc. 15, 28-39 (2000).
67. Tadmor, Z., and I. Klein, "Engineering Principles of Plasticating Extrusion", Van Nostrand Reinhold, New York, NY (1970).
68. Tzoganakis, C., J. Vlachopoulos and A.E. Hamielec, "Production of Controlled-rheology Polypropylene Resins by Peroxide Promoted Degradation during Extrusion", Polym. Eng. Sci. 28, 170-180 (1988).
69. Vergnes, B. and J.-F. Agassant, "Die Flow Computations: a Method to Solve Industrial Problems in Polymer Processing", Adv. Polym. Techn. 6, 441-455 (1986).
70. Vergnes, B., G. Della Valle and L. Delamare, "A Global Computer Software for Polymer Flows in Corotating Twin Screw Extruders", Polym. Eng. Sci. 38, 1781-1792 (1998).
71. Vergnes, B. and F. Berzin, "Peroxide-controlled Degradation of Polypropylene: Rheological Behaviour and Process Modelling", Macromol. Sympos. 158, 77-90 (2000).
72. Vincent, M., "Modelling of Short Fibre-reinforced Thermoplastics Flows in Polymer Processing" in "Structure Development during Polymer Processing", A.M. Cunha and S. Fakirov, Eds., Kluwer Academic Publishers, Dordrecht, The Netherlands (2000), pp. 345-363.
73. White, J.L., "Twin Screw Extrusion - Technology and Principles", Hanser, Munich, Germany (1990).
74. White, J.L., A.Y. Coran and A. Moet, "Polymer Mixing; Technology and Engineering", Hanser, Munich, Germany (2001).
75. Xanthos, M., "Reactive Extrusion: Principle and Practice", Hanser, Munich, Germany (1996).