J. F. Agassant, F. Baaijens, H. Bastian, A. Bernnat, A. C. Bogaerds et al., The Matching of Experimental Polymer Processing Flows to Viscoelastic Numerical Simulation, International Polymer Processing, vol.17, issue.1, pp.3-10, 2002.
DOI : 10.3139/217.1675
URL : https://hal.archives-ouvertes.fr/hal-00536042

J. F. Agassant, D. Arda, C. Combeaud, A. Merten, H. Münstedt et al., Polymer Processing Extrusion Instabilities and Methods for their Elimination or Minimisation, International Polymer Processing, vol.21, issue.3, pp.239-255, 2006.
DOI : 10.3139/217.0084
URL : https://hal.archives-ouvertes.fr/hal-00512800

J. F. Agassant and J. M. Haudin, Mise en forme des polymères, Matériaux Polymères, 2007.

B. Arpin, P. G. Lafleur, and B. Vergnes, Simulation of polymer flow through a coat-hanger die: A comparison of two numerical approaches, Polymer Engineering and Science, vol.11, issue.273, pp.206-212, 1992.
DOI : 10.1002/pen.760320307

D. Arnold, F. Brezzi, and M. Fortin, A stable finite element for the Stokes equations, Calcolo, pp.337-344, 1984.

B. Arpin, P. G. Lafleur, and B. Sanschagrin, A personal computer software program for coat-hanger die simulation, Polym. Eng. Sci, vol.34, pp.6657-664, 1994.

M. Bellet, B. Monasse, and J. F. Agassant, Simulation numérique des procédés de soufflage, Techniques de l'Ingénieur, p.3705, 2000.

D. J. Black and H. G. , Creeping flow of a viscoelastic liquid through a contraction, In Theoretical Rheology, pp.3-30, 1975.

F. Boitout, J. F. Agassant, and M. Vincent, Elastic Calculation of Residual Stresses in Injection Molding, International Polymer Processing, vol.10, issue.3, pp.237-242, 1995.
DOI : 10.3139/217.950237

G. Boukellal, A. Durin, R. Valette, and J. F. Agassant, Evaluation of a tube-based constitutive equation using conventional and planar elongation flow optical rheometers, Rheologica Acta, vol.130, issue.5-6, pp.547-557, 2011.
DOI : 10.1007/s00397-011-0573-y
URL : https://hal.archives-ouvertes.fr/hal-00612051

H. C. Brinkmann, Heat effects in capillary flow I, Applied Scientific Research, vol.43, issue.1, pp.120-124, 1951.
DOI : 10.1007/BF00411976

A. N. Brooks and T. J. Hughes, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering, vol.32, issue.1-3, pp.199-259, 1982.
DOI : 10.1016/0045-7825(82)90071-8

A. Cameron, Principles of Lubrication, Journal of Lubrication Technology, vol.89, issue.2, 1966.
DOI : 10.1115/1.3616953

O. S. Carneiro, J. M. Nobrega, F. T. Pinho, and P. J. Oliveira, Computer aided rheological design of extrusion dies for profiles, Journal of Materials Processing Technology, vol.114, issue.1, pp.75-86, 2001.
DOI : 10.1016/S0924-0136(01)00574-X

J. W. Castro and C. W. Macosko, Studies of mold filling and curing in the reaction injection molding process, AIChE Journal, vol.28, issue.2, pp.250-260, 1982.
DOI : 10.1002/aic.690280213

H. H. Chiang, C. A. Hieber, and K. K. Wang, A unified simulation of the filling and postfilling stages in injection molding. Part I: Formulation, Polymer Engineering and Science, vol.8, issue.2, pp.116-124, 1991.
DOI : 10.1002/pen.760310210

M. M. Cross, Rheology of non-Newtonian fluids: A new flow equation for pseudoplastic systems, Journal of Colloid Science, vol.20, issue.5, pp.417-437, 1965.
DOI : 10.1016/0095-8522(65)90022-X

T. Coupez, Metric construction by length distribution tensor and edge based error for anisotropic adaptive meshing, Journal of Computational Physics, vol.230, issue.7, pp.2391-2405, 2011.
DOI : 10.1016/j.jcp.2010.11.041
URL : https://hal.archives-ouvertes.fr/hal-00579536

J. M. Dealy and K. F. Wissbrun, Melt rheology and its role in plastics processing, 1999.

Y. Demay, Instabilités d'étirage et bifurcation de Hopf, Thèse de Doctorat d'Etat, 1983.

D. Lorenzi, H. G. Nied, and H. F. , Blow molding and thermoforming of plastics: Finite element modeling, Computers & Structures, vol.26, issue.1-2, pp.197-206, 1987.
DOI : 10.1016/0045-7949(87)90250-1

O. Denizart, M. Vincent, and J. F. Agassant, Thermal stresses and strains in injection moulding: experiments and computations, Journal of Materials Science, vol.28, issue.2, pp.552-560, 1995.
DOI : 10.1007/BF00354424

J. L. Dreyer, Injection assistée par gaz, Techniques de l'Ingénieur, AM, vol.3, p.693, 2012.

L. F. Douven, F. T. Baaijen, and H. E. Meijer, The computation of properties of injection-moulded products, Progress in Polymer Science, vol.20, issue.3, pp.403-457, 1995.
DOI : 10.1016/0079-6700(94)00037-3

S. Dupont, Extrusion soufflage de grands corps creux, Techniques de l'Ingénieur, AM, vol.3646, 2013.

Y. Farhoudi and M. R. Kamal, Measurement and computation of thermal stresses in injection molding of HDPE, Int. J. Forming Proc, vol.2, pp.277-306, 1999.

E. Foudrinier, Etude numérique et expérimentale du procédé d'extrusion de pâtes argileuses, Thèse de Doctorat, 2007.

D. K. Gagon and M. M. Denn, Computer simulation of steady polymer melt spinning, Polymer Engineering and Science, vol.21, issue.13, pp.844-853, 1981.
DOI : 10.1002/pen.760211307

E. Gamache, Soufflage de gaine, Techniques de l'Ingénieur, AM, vol.3702, 2010.

W. Gleissle, Rate or stress controlled rheometry, pp.356-391, 1998.

J. F. Gobeau, Etude expérimentale et simulation numérique 3D par éléments finis de l'écoulement dans les filières d'extrusion de profilés PVC, Thèse de Doctorat, 1996.

N. D. Gonçalves, O. S. Carneiro, and J. M. Nobrega, Design of complex profile extrusion dies through numerical modeling, Journal of Non-Newtonian Fluid Mechanics, vol.200, pp.103-110, 2013.
DOI : 10.1016/j.jnnfm.2013.02.007

Z. Gou and A. J. Mchugh, A comparison of Newtonian and viscoelastic constitutive models for dry spinning of polymer fibers, Journal of Applied Polymer Science, vol.43, issue.13, pp.2136-2145, 2003.
DOI : 10.1002/app.11583

C. Gruau and T. Coupez, 3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric, Computer Methods in Applied Mechanics and Engineering, vol.194, issue.48-49, pp.4961-4976, 2005.
DOI : 10.1016/j.cma.2004.11.020
URL : https://hal.archives-ouvertes.fr/hal-00517639

G. A. Haagh, G. W. Peters, F. N. Van-de-vosse, and H. E. Meijer, A 3-D finite element model for gas-assisted injection molding: Simulations and experiments, Polymer Engineering & Science, vol.23, issue.3, pp.449-461, 2001.
DOI : 10.1002/pen.10742

D. 'halewyn and S. , Etude de l'écoulement d'un mélange d'élastomères dans une filière de profilé, Thèse de Doctorat, 1992.

H. S. Hele-shaw, The motion of perfect fluid, Notes on Proceedings of the Royal Institution of Great Britain, vol.16, pp.49-64, 1899.

J. F. Hétu, D. M. Gao, A. Garcia-rejon, and G. Salloum, 3D finite element method for the simulation of the filling stage in injection molding, Polymer Engineering & Science, vol.40, issue.1, pp.223-236, 1998.
DOI : 10.1002/pen.10183

C. A. Hieber and S. F. Shen, A finite-element/finite-difference simulation of the injection-molding filling process, Journal of Non-Newtonian Fluid Mechanics, vol.7, issue.1, pp.1-32, 1980.
DOI : 10.1016/0377-0257(80)85012-9

D. Huilier, J. Terrisse, M. E. De-la-lande, and A. Latrobe, Modeling the packing-cooling stage in injection molding of amorphous polymers, Intern. Polym. Proc, vol.4, pp.184-190, 1988.

M. A. Huneault, P. G. Lafleur, and P. J. Carreau, Evaluation of the FAN Technique for Profile Die Design, International Polymer Processing, vol.11, issue.1, pp.50-57, 1996.
DOI : 10.3139/217.960050

P. Hurez, P. A. Tanguy, and D. Blouin, Numerical simulation of profile extrusion dies without flow separation, Polymer Engineering and Science, vol.28, issue.15, pp.971-979, 1993.
DOI : 10.1002/pen.760331506

L. Jarecki and A. Ziabicki, Viscosity effects in computer modeling of fiber spinning from crystallizing polymer melts, Polimery, pp.101-109, 2004.

K. K. Kabanemi, Simulation numérique par elements finis du retrait et du compactage en moulage par injection, Thèse de Doctorat, 1991.

K. K. Kabanemi, H. Vaillancourt, H. Wang, and G. Salloum, Residual stresses, shrinkage, and warpage of complex injection molded products: Numerical simulation and experimental validation, Polymer Engineering & Science, vol.8, issue.1, pp.21-37, 1998.
DOI : 10.1002/pen.10162

D. S. Kalika and M. M. Denn, Wall Slip and Extrudate Distortion in Linear Low???Density Polyethylene, Journal of Rheology, vol.31, issue.8, pp.815-834, 1987.
DOI : 10.1122/1.549942

M. R. Kamal and S. Kenig, The injection molding of thermoplastics part I: Theoretical model, Polymer Engineering and Science, vol.66, issue.4, pp.294-301, 1972.
DOI : 10.1002/pen.760120408

M. Kamal, Y. Kuo, and P. H. Doan, The injection molding behavior of thermoplastics in thin rectangular cavities, Polymer Engineering and Science, vol.15, issue.12, pp.863-868, 1975.
DOI : 10.1002/pen.760151208

M. R. Kamal, R. A. Lai-fook, and J. R. Hernandez-aguilar, Residual thermal stresses in injection moldings of thermoplastics: A theoretical and experimental study, Polymer Engineering & Science, vol.172, issue.5, pp.1098-1114, 2002.
DOI : 10.1002/pen.11015

R. Keunings, Simulation of viscoelastic fluid flow, in: Fundamentals of Computer Modeling for Polymer Processing, pp.402-470, 1989.

S. W. Kim and L. S. Turng, Developments of three-dimensional computer-aided engineering simulation for injection moulding, Modelling and Simulation in Materials Science and Engineering, vol.12, issue.3, pp.151-173, 2004.
DOI : 10.1088/0965-0393/12/3/S07

U. Langkamp and W. Michaeli, On-line monitoring of parison geometry to prevent sag and swell, Plast. Eng, vol.52, pp.29-31, 1996.

M. K. Lee, The significance of slip in matching polyethylene processing data with numerical simulation, Journal of Non-Newtonian Fluid Mechanics, vol.94, issue.2-3, pp.159-177, 2000.
DOI : 10.1016/S0377-0257(00)00147-6

K. Lee and M. R. Mackley, The application of the multi-pass rheometer for precise rheo-optic characterisation of polyethylene melts, Chemical Engineering Science, vol.56, issue.19, pp.5653-5661, 2001.
DOI : 10.1016/S0009-2509(01)00153-1

A. E. Likhtman and R. S. Graham, Simple constitutive equation for linear polymer melts derived from molecular theory: Rolie???Poly equation, Journal of Non-Newtonian Fluid Mechanics, vol.114, issue.1, pp.1-12, 2003.
DOI : 10.1016/S0377-0257(03)00114-9

A. S. Lodge, Elastic Liquids, Journal of Applied Mechanics, vol.32, issue.2, 1964.
DOI : 10.1115/1.3625862

M. R. Mackley, R. T. Marshall, J. B. Smeulders, and F. D. Zhao, The rheological characterization of polymeric and colloidal fluids, Chemical Engineering Science, vol.49, issue.16, pp.2551-2565, 1994.
DOI : 10.1016/0009-2509(94)E0082-2

M. R. Mackley and D. G. Hassell, The multipass rheometer a review, Journal of Non-Newtonian Fluid Mechanics, vol.166, issue.9-10, pp.421-456, 2011.
DOI : 10.1016/j.jnnfm.2011.01.007

C. Maillefer, Boudineuses à vis, Swiss Patent, 1959.

G. Marrucci and G. Ianniruberto, Flow-induced orientation and stretching of entangled polymers, Series A-Mathematical Physical and Engineering Series, pp.677-687, 2003.
DOI : 10.1098/rsta.2002.1156

H. Mavridis, A. N. Hrymak, and J. Vlachopoulos, Finite element simulation of fountain flow in injection molding, Polymer Engineering and Science, vol.50, issue.7, pp.449-454, 1986.
DOI : 10.1002/pen.760260702

J. M. Mckelvey, Polymer processing, 1962.

G. H. Mckinley, P. Pakdel, and A. Oztekin, Rheological and geometric scaling of purely elastic flow instabilities, Journal of Non-Newtonian Fluid Mechanics, vol.67, pp.19-47, 1996.
DOI : 10.1016/S0377-0257(96)01453-X

T. C. Mcleisch and R. G. Larson, Molecular constitutive equations for a class of branched polymers: The pom-pom polymer, Journal of Rheology, vol.42, issue.1, pp.81-110, 1998.
DOI : 10.1122/1.550933

M. Mooney, Explicit Formulas for Slip and Fluidity, Journal of Rheology, vol.2, issue.2, pp.210-222, 1931.
DOI : 10.1122/1.2116364

A. C. Papanastasiou, L. E. Scriven, and C. W. Macosko, An Integral Constitutive Equation for Mixed Flows: Viscoelastic Characterization, Journal of Rheology, vol.27, issue.4, pp.387-410, 1987.
DOI : 10.1122/1.549712

A. C. Papanastasiou, C. W. Macosko, L. E. Scriven, and Z. Chen, Fiber spinning of viscoelastic liquid, AIChE Journal, vol.33, issue.5, pp.834-842, 1987.
DOI : 10.1002/aic.690330516

J. R. Pearson, Mechanical Principles of Polymer Melt Processing, 1966.

N. Phan-thien and R. I. Tanner, A new constitutive equation derived from network theory, Journal of Non-Newtonian Fluid Mechanics, vol.2, issue.4, pp.353-365, 1977.
DOI : 10.1016/0377-0257(77)80021-9

E. Pichelin and T. Coupez, Finite element solution of the 3D mold filling problem for viscous incompressible fluid, Computer Methods in Applied Mechanics and Engineering, vol.163, issue.1-4, pp.359-371, 1998.
DOI : 10.1016/S0045-7825(98)00024-3
URL : https://hal.archives-ouvertes.fr/hal-00617037

B. Plantamura, Soufflage de corps creux biorientés, Techniques de l'Ingénieur, AM, vol.3700, 2012.

H. Potente and . Schöppner, A Throughput Model for Grooved Bush Extruders, International Polymer Processing, vol.10, issue.4, pp.289-295, 1995.
DOI : 10.3139/217.950289

A. Rodriguez-villa, J. F. Agassant, M. Bellet, S. D. Shen, and P. Dawson, Finite element simulation of the extrusion blow-molding process, in : Simulation of material processing, theory, methods and applications, pp.1053-1058, 1995.

P. C. Roozemond and G. W. Peters, Flow-enhanced nucleation of poly(1-butene): Model application to short-term and continuous shear and extensional flow, Journal of Rheology, vol.57, issue.6, pp.1633-1652, 2013.
DOI : 10.1122/1.4821609

E. V. Ruymbeke, R. Keunings, and C. Bailly, Determination of the molecular weight distribution of entangled linear polymers from linear viscoelasticity data, Journal of Non-Newtonian Fluid Mechanics, vol.105, issue.2-3, pp.153-175, 2002.
DOI : 10.1016/S0377-0257(02)00080-0

P. Saillard and J. F. Agassant, Polymer flow in a spiral mandrel die for tubular films, Polym, Proc. Eng, pp.37-52, 1984.

L. Silva, C. Gruau, J. F. Agassant, T. Coupez, and J. Mauffrey, Advanced Finite Element 3D Injection Molding, International Polymer Processing, vol.20, issue.3, pp.265-273, 2005.
DOI : 10.3139/217.1888
URL : https://hal.archives-ouvertes.fr/hal-00517672

L. Silva, J. F. Agassant, T. Coupez, M. R. Kamal, A. Isayev et al., Three-Dimensional Injection Molding Simulation, J. editors, pp.599-651, 2009.
DOI : 10.3139/9783446433731.015
URL : https://hal.archives-ouvertes.fr/hal-00508530

L. Silva, R. Valette, P. Laure, and T. Coupez, A new three-dimensional mixed finite element for direct numerical simulation of compressible viscoelastic flows with moving free surfaces, International Journal of Material Forming, vol.189, issue.3, pp.55-72, 2012.
DOI : 10.1007/s12289-011-1030-2
URL : https://hal.archives-ouvertes.fr/hal-00579571

Z. Tadmor and I. Klein, Engineering Principles of Plasticating Extrusion, 1970.

G. Titomanlio, V. Brucato, and M. R. Kamal, Mechanism of Cooling Stress Build-Up in Injection Molding of Thermoplastic Polymers**, International Polymer Processing, vol.1, issue.2, pp.55-59, 1987.
DOI : 10.3139/217.870055

G. Titomanlio, S. Piccarolo, and G. Levati, On the packing???holding flow in the injection molding of thermoplastic polymers, Journal of Applied Polymer Science, vol.35, issue.6, pp.1483-1495, 1988.
DOI : 10.1002/app.1988.070350607

F. T. Trouton, On the Coefficient of Viscous Traction and Its Relation to that of Viscosity, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.77, issue.519, pp.426-440, 1906.
DOI : 10.1098/rspa.1906.0038

R. Valette, P. Laure, Y. Demay, and J. F. Agassant, Experimental Investigation of the Development of Interfacial Instabilities in Two Layer Coextrusion Dies, International Polymer Processing, vol.19, issue.2, pp.118-128, 2004.
DOI : 10.3139/217.1819
URL : https://hal.archives-ouvertes.fr/hal-00015193

R. Valette, M. R. Mackley, H. Fernandez-del-castillo, and G. , Matching time dependent pressure driven flows with a Rolie Poly numerical simulation, Journal of Non-Newtonian Fluid Mechanics, vol.136, issue.2-3, pp.118-125, 2006.
DOI : 10.1016/j.jnnfm.2006.03.012
URL : https://hal.archives-ouvertes.fr/hal-00514056

B. Vergnes, P. Saillard, and B. Plantamura, Berechnungsmethoden für Breitschlitz Extrusionwerkzeuge, Kunststoffe, vol.70, pp.750-752, 1980.

B. Vergnes, P. Saillard, and J. F. Agassant, Non-isothermal flow of a molten polymer in a coat-hanger die, Polymer Engineering and Science, vol.19, issue.12, pp.980-987, 1984.
DOI : 10.1002/pen.760241207

B. Vergnes, N. Bennani, and C. Guichard, Experimental and Theoretical Approach to the Extrusion of Rubber Compounds with a Two-Stage Screw**, International Polymer Processing, vol.1, issue.1, pp.19-24, 1986.
DOI : 10.3139/217.860019

B. Vergnes and J. F. Agassant, Modélisation des écoulements dans les filières d'extrusion, Techniques de l'Ingénieur, AM, vol.3, p.655, 2008.

M. H. Wagner, Analysis of time-dependent non-linear stress-growth data for shear and elongational flow of a low-density branched polyethylene melt, Rheologica Acta, vol.61, issue.2, pp.136-142, 1976.
DOI : 10.1007/BF01517505

V. W. Wang, C. A. Hieber, and K. K. Wang, Summary, Journal of Polymer Engineering, vol.7, issue.1, pp.21-45, 1986.
DOI : 10.1515/polyeng-1986-0104

J. L. White and A. B. Metzner, Development of constitutive equations for polymeric melts and solutions, Journal of Applied Polymer Science, vol.7, issue.5, pp.1867-1889, 1963.
DOI : 10.1002/app.1963.070070524

M. L. William, R. F. Landel, and J. D. Ferry, The Temperature Dependence of Relaxation Mechanisms in Amorphous Polymers and Other Glass-forming Liquids, Journal of the American Chemical Society, vol.77, issue.14, pp.3701-3706, 1955.
DOI : 10.1021/ja01619a008

J. L. Willien, Modélisation surfacique du remplissage de moules en injection des thermoplastiques, Thèse de Doctorat, 1992.

J. M. Wilson and B. Khomami, An experimental investigation of interfacial instabilities in multilayer flow of viscoelastic fluids. Part II. Elastic and nonlinear effects in incompatible polymer systems, Journal of Rheology, vol.37, issue.2, pp.315-339, 1993.
DOI : 10.1122/1.550445

K. Y. Yasuda, R. C. Amstrong, and R. E. Cohen, Shear flow properties of concentrated solutions of linear and star branched polystyrenes, Rheologica Acta, vol.28, issue.2, pp.163-178, 1981.
DOI : 10.1007/BF01513059