101 4.3.1 Modèles prenant en compte l'orientation des fibres dans le composite, p.101 ,
102 4.3.2.1 ´ Etape 1 : calcul des paramètres thermo-´ elastiques pour unétatunétat d'orientation unidirectionnel, ´ Etape 2 : calcul des paramètres thermo-´ elastiques anisotropes . . . . . . . . . . . . . . . . . . . . . . . 103 ,
The Use of Tensors to Describe and Predict Fiber Orientation in Short Fiber Composites, Journal of Rheology, vol.31, issue.8, pp.751-784, 1987. ,
DOI : 10.1122/1.549945
Closure approximations for three???dimensional structure tensors, Journal of Rheology, vol.34, issue.3, p.367, 1990. ,
DOI : 10.1122/1.550133
Unsteady flow of semi-concentrated suspensions using finite deformation tensors, Journal of Non-Newtonian Fluid Mechanics, vol.55, issue.2, pp.115-136, 1994. ,
DOI : 10.1016/0377-0257(94)80001-4
On the Description of the Orientation State for Fiber Suspensions in Homogeneous Flows, Journal of Rheology, vol.33, issue.7, pp.1289-1155, 1989. ,
DOI : 10.1122/1.550047
Numerical prediction of three-dimensional fiber orientation in Hele-Shaw flows, Polymer Engineering & Science, vol.7, issue.14, pp.848-859, 1990. ,
DOI : 10.1002/pen.760301408
Isothermal extrusion of non-dilute fiber suspensions, Journal of Non-Newtonian Fluid Mechanics, vol.25, issue.3, pp.313-328, 1987. ,
DOI : 10.1016/0377-0257(87)85032-2
A stable finite element for stokes equations . Calcolo, pp.337-344, 1984. ,
Primer on composite analysis, 1969. ,
Slender-body theory for particles of arbitrary cross-section in Stokes flow, Journal of Fluid Mechanics, vol.16, issue.03, p.419, 1970. ,
DOI : 10.1063/1.1730995
The stress generated in a non-dilute suspension of elongated particles by pure straining motion, Journal of Fluid Mechanics, vol.102, issue.04, pp.813-829, 1970. ,
DOI : 10.1007/BF01973476
Fiber orientation in injection molded composites : A comparaison of theory and experiment, 1991. ,
Fiber orientation in simple injection moldings. Part II: Experimental results, Polymer Composites, vol.10, issue.4, pp.332-341, 1992. ,
DOI : 10.1002/pc.750130410
Fiber orientation in simple injection moldings. Part I: Theory and numerical methods, Polymer Composites, vol.33, issue.4, p.317, 1992. ,
DOI : 10.1002/pc.750130409
Modélisation et simulation numérique directe de l'´ ecoulement d'un fluide complexe, Thése Ecole des Mines de Paris, 2008. ,
Etude du comportementélastiquecomportementélastique et viscoélastique linéaire des polymères semi-cristallins par approche micromécanique, Thèse de l'ENSAM de Paris, 2005. ,
A new approach to the application of Mori-Tanaka's theory in composite materials, Mechanics of Materials, vol.6, issue.2, pp.147-157, 1987. ,
DOI : 10.1016/0167-6636(87)90005-6
Mixed and Hybrid Finite Element Methods, 1991. ,
DOI : 10.1007/978-1-4612-3172-1
Further considerations on residual-free bubbles for advective-diffusive equations, Computer Methods in Applied Mechanics and Engineering, vol.166, issue.1-2, pp.25-33, 1998. ,
DOI : 10.1016/S0045-7825(98)00080-2
Factors influencing fiber orientation and mechanical properties in fibre reinforced thermoplastics injection moldings, Plastics and Rubber Processing and Application, vol.1, pp.139-147, 1981. ,
A study of the effect or injection speed on fibre orientation in simple moulding of short glass fiber-filled polypropylene, Journal of Material Sciences, vol.13, p.2497, 1978. ,
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
Work hardening due to internal stresses in composite materials, ActaMetall, vol.23, pp.821-830, 1975. ,
A Self-Consistent Approach to the Elastic Stiffness of Short-Fiber Composites, Journal of Composite Materials, vol.14, issue.3, pp.178-188, 19780. ,
DOI : 10.1177/002199838001400301
Effective Stiffness of Randomly Oriented Fibre Composites, Journal of Composite Materials, vol.9, issue.3, pp.518-532, 1972. ,
DOI : 10.1177/002199837200600307
Glass fiber-filled thermoplastics. I. Wall and processing effects on rheological properties, Polymer Engineering and Science, vol.18, issue.16, p.1001, 1985. ,
DOI : 10.1002/pen.760251603
Fiber orientation in the processing of polymer composites, Korea-Australia Rhology Journal, vol.14, issue.4, pp.175-188, 2002. ,
Orthotropic closure approximations for flow???induced fiber orientation, Journal of Rheology, vol.39, issue.6, p.1095, 1995. ,
DOI : 10.1122/1.550630
Stable-stabilized finite element for 3d forming calculation, 1996. ,
Réinitialisation convective et locale des fonctions level set pour le mouvement de surfaces et d'interfaces, 2006. ,
Complex free surface and interface dynamics in material forming computation, fifth World Congress on compututional Mechanics, 2002. ,
The motion of long slender bodies in a viscous fluid Part 1. General theory, Journal of Fluid Mechanics, vol.32, issue.04, p.791, 1970. ,
DOI : 10.1016/0009-2509(64)85005-3
A Rheological Equation of State for Semiconcentrated Fiber Suspensions, Journal of Rheology, vol.28, issue.3, p.207, 1984. ,
DOI : 10.1122/1.549748
Molecular dynamics and rheological properties of concentrated solutions of rodlike polymers in isotropic and liquid crystalline phases, Journal of Polymer Science: Polymer Physics Edition, vol.19, issue.2, p.229, 1981. ,
DOI : 10.1002/pol.1981.180190205
Prédiction des propriétés thermo-´ elastiques d'un composite injecté et chargé de fibres courtes, Thése Ecole Nationale Supérieure d'Arts et Metiers, 2006. ,
Constitutive equations in suspension mechanics. part2. approximate forms for a suspension of rigid particles affected by brownian rotations, Journal of Fluid Mechanics, vol.76, p.187, 1976. ,
The Determination of the Elastic Field of an Ellipsoidal Inclusion, and Related Problems, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.241, issue.1226, pp.376-396, 1957. ,
DOI : 10.1098/rspa.1957.0133
Elastic Inclusions and Inhomogeneities, Progress in Solid Mechanics, pp.89-140, 1961. ,
DOI : 10.1007/1-4020-4499-2_26
Predicting the elastic modulus of natural fibre reinforced thermoplastics, Composites Part A: Applied Science and Manufacturing, vol.37, issue.10, pp.1660-1671, 2006. ,
DOI : 10.1016/j.compositesa.2005.10.006
A direct simulation of fibre suspensions, Journal of Non-Newtonian Fluid Mechanics, vol.74, issue.1-3, pp.113-135, 1998. ,
DOI : 10.1016/S0377-0257(97)00050-5
Orientation Behavior of Fibers in Concentrated Suspensions, Journal of Reinforced Plastics and Composites, vol.3, issue.2, pp.98-119, 1984. ,
DOI : 10.1177/073168448400300201
On petrov-galerkin formulations for the linear hyperbolic equation, appeared with the title " recovering supg using petrovgalerkin formulations enriched with adjoint residula-free bubbles ,
Microstructure and fracture behavior of short and long fiber reinforced polypropylene composite ,
The elastic modulus of misaligned short-fiber-reinforced polymers, Composites Science and Technology, vol.58, issue.3-4, pp.389-400, 1998. ,
DOI : 10.1016/S0266-3538(97)00129-2
Elasto-viskose Fl??ssigkeiten, f??r die in station??ren Schichtstr??mungen s??mtliche Normalspannungskomponenten verschieden gro?? sind, Rheologica Acta, vol.1, issue.1, p.50, 1962. ,
DOI : 10.1007/BF01972555
Process induced fibre orientation : numerical simulation with experimental verification, Polymer Composites, vol.6, p.82, 1984. ,
Fibre orientation and mechanical properties of short-fibre-reinforced injection-molded composites : simulation and experimental results, Polymer Composites, vol.58, issue.5, 1993. ,
Elastic and expansion estimates for oriented short fiber composites, J. composite materials, vol.3, pp.732-734, 1969. ,
The halpin-tsai equations : a review polymer engineering and science, J. composite materials, vol.16, pp.344-352, 1976. ,
The laminate approximation for randomly oriented fibrous composites, J. composite materials, vol.3, p.720, 1969. ,
A theory of anisotropic fluids, Journal of Fluid Mechanics, vol.4, issue.01, pp.33-46, 1962. ,
DOI : 10.1063/1.1735041
The elasticity of an isotropic aggregate of anisotropic cubic crystals, J. Appl. Mechanics, vol.21, pp.236-241, 1954. ,
Elastic properties of reinforced solids: Some theoretical principles, Journal of the Mechanics and Physics of Solids, vol.11, issue.5, pp.357-372, 1963. ,
DOI : 10.1016/0022-5096(63)90036-X
Some closed-form solutions for effective moduli of composites containing randomly oriented short fibers, Materials Science and Engineering: A, vol.315, issue.1-2, pp.11-20, 2001. ,
DOI : 10.1016/S0921-5093(01)01212-6
Stiffness predictions for unidirectional short-fiber composites: Review and evaluation, Composites Science and Technology, vol.59, issue.5, pp.655-671, 1999. ,
DOI : 10.1016/S0266-3538(98)00120-1
The Motion of Ellipsoidal Particles Immersed in a Viscous Fluid, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.102, issue.715, pp.161-179, 1922. ,
DOI : 10.1098/rspa.1922.0078
Modeling and simulation of nonisothermal effects in injection molding of rigid fiber suspensions, Journal of Injection Molding Technology, vol.3, pp.80-87, 1999. ,
Numerical Simulation of the Flow and Fiber Orientation in Reinforced Thermoplastic Injection Molded Products, International Polymer Processing, vol.12, issue.2, pp.182-191, 1997. ,
DOI : 10.3139/217.970182
The role of imperfect adhesion on thermal expansivities of transversely isotropic composites with an inhomogeneous interphase, Composites Part A: Applied Science and Manufacturing, vol.29, issue.9-10, pp.1021-1026, 1998. ,
DOI : 10.1016/S1359-835X(98)00013-X
Filling of a complex-shaped mold with a viscoelastic polymer. Part II: Comparison with experimental data, Polymer Engineering and Science, vol.34, issue.7, p.410, 1993. ,
DOI : 10.1002/pen.760330706
A stabilized mixed finite element method for finite elasticity., Computer Methods in Applied Mechanics and Engineering, vol.180, issue.1-2, pp.1-265, 1999. ,
DOI : 10.1016/S0045-7825(99)00059-6
Approche biphasique du changement de phase avec interaction liquide-solide. Résumé pour le 1er colloque du GDR interactions fluide-structure, pp.26-27, 2005. ,
Modélisation du comportement mécanique de matériaux composites viscoélastiques non linéaires par une approche d'homogénéisation, 2004. ,
Thermal expansion coefficients of heterogeneous materials, pp.88-94, 1967. ,
Prediction of thermo-mechanical properties for compression moulded composites, Composites Part A: Applied Science and Manufacturing, vol.29, issue.1-2, pp.63-70, 1998. ,
DOI : 10.1016/S1359-835X(97)00039-0
Elastic fields of inclusions in anisotropic media (II), Physica Status Solidi (a), vol.47, issue.1 ,
DOI : 10.1002/pssa.2210150131
The flow of fiber suspensions in complex geometries, Journal of Non-Newtonian Fluid Mechanics, vol.26, issue.3, p.297, 1988. ,
DOI : 10.1016/0377-0257(88)80023-5
A continuum theory for fiber suspensions, Proc. IX Int. Congress on rheology, pp.497-499, 1984. ,
Etude thermophysique du refroidissement dupolypropyì ene injecté, 1999. ,
A numerical study of the rheological properties of suspensions of rigid, non-brownian fibers. Jounal of fluid mechanics, pp.155-186, 1996. ,
Natural element meshless simulation of flows involving short fiber suspensions, Journal of Non-Newtonian Fluid Mechanics, vol.115, issue.1, pp.51-78, 2003. ,
DOI : 10.1016/S0377-0257(03)00171-X
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
Etude et Modélisation de l'orientation de fibres dans les thermoplastiques renforcés, Thése Ecole des Mines de Paris, 2005. ,
Thermoelastic properties of short-fibre-reinforced thermoplastics, Composites Science and Technology, vol.59, issue.6, pp.911-923, 1999. ,
DOI : 10.1016/S0266-3538(98)00133-X
Modelización Numérica Tridimensional de la Inyección de Termoplásticos reforzados con Fibras Cortas, 2004. ,
Average stress in matrix and average elastic energy of materials with misfitting inclusions, Acta Metallurgica, vol.21, issue.5, pp.571-574, 1973. ,
DOI : 10.1016/0001-6160(73)90064-3
Micromechanics of defects in solids, 1991. ,
Folgar???Tucker constant for a fibre suspension in a Newtonian fluid, Journal of Non-Newtonian Fluid Mechanics, vol.103, issue.2-3, pp.251-260, 2002. ,
DOI : 10.1016/S0377-0257(02)00006-X
Elastic-plastic and failure properties of a unidirectional carbon/PMR-15 composite at room and elevated temperatures, Composites Science and Technology, vol.60, issue.16, pp.2979-2988, 2000. ,
DOI : 10.1016/S0266-3538(00)00163-9
A comparison of Young's modulus predictions in fibre-reinforced-polyamide injection mouldings, Composites Science and Technology, vol.59, issue.3, pp.419-427, 1999. ,
DOI : 10.1016/S0266-3538(98)00089-X
Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations, Journal of Computational Physics, vol.79, issue.1, pp.12-49, 1988. ,
DOI : 10.1016/0021-9991(88)90002-2
Ma??triseMa??trise technologique de la répartition et de l'orientation des fibres dans lespì eces injectées en composites thermoplas- tiques ,
Stress???Strain Relations in a Suspension of Dumbbells, Transactions of the Society of Rheology, vol.1, issue.1, p.53, 1994. ,
DOI : 10.1122/1.548808
On the application of Mori-Tanaka's theory involving transversely isotropic spheroidal inclusions, International Journal of Engineering Science, vol.28, issue.11, pp.1121-1137, 1990. ,
DOI : 10.1016/0020-7225(90)90112-V
Simulation numérique de l'orientation de fibres en injection de thermo-plastiques renfocés, Thése Ecole des Mines de Paris, 2007. ,
Berechnung des fliessgrense von mischkritallen auf grund der plastizitätsbedingung für einkristalle, zeitshcrift für angewandte mathematik und mechanik, Zeitshcrift für Angewandte Mathematik und Mechanik, pp.49-58, 1929. ,
Simulation of non-recirculating flows of dilute fiber suspensions, Journal of Non-Newtonian Fluid Mechanics, vol.37, issue.2-3, pp.317-345, 1990. ,
DOI : 10.1016/0377-0257(90)90011-Y
Mechanical response of a unidirectional graphite fiber/polyimide composite as a function of temperature, Composites Science and Technology, vol.66, issue.7-8, pp.1045-1055, 2006. ,
DOI : 10.1016/j.compscitech.2005.07.026
Thermal Expansion Coefficients of Composite Materials Based on Energy Principles, Journal of Composite Materials, vol.23, issue.3, pp.380-404, 1968. ,
DOI : 10.1177/002199836800200308
Experiment values for elastic constants of a particulate-filled flassy polymer, Journal of Research of the National Institute of Standards and Technology, vol.80, pp.45-49, 1976. ,
The effect of aspect ratio of inclusions on the elastic properties of unidirectionally aligned composites, Polymer Composites, vol.9, issue.4, pp.327-333, 1984. ,
DOI : 10.1002/pc.750050413
Thermal Residual Stress in a Two-Dimensional In-Plane Misoriented Short Fiber Composite, Applied Mechanics Reviews, vol.43, issue.5S, pp.294-303, 1990. ,
DOI : 10.1115/1.3120831
Invariant properties of composite materials, composite materials workshop, 1969. ,
Flow regimes for fiber suspensions in narrow gaps, Journal of Non-Newtonian Fluid Mechanics, vol.39, issue.3, pp.239-268, 1991. ,
DOI : 10.1016/0377-0257(91)80017-E
Simulation Numérique de l'orientaiton de fibres en moulage par injection depì eces complexes en matériaux composite, 1995. ,
Prediction of fiber orientation in complex injection molded parts, Proceedings of the ASME Winter Annual Mtg ,
Experimental study and calculations of short glass fibre orientation in centre gated moulded disks, Polymer Composites, vol.7, pp.73-83, 1986. ,
Description and modeling of fiber orientation in injection molding of fiber reinforced thermoplastics, Polymer, vol.46, issue.17, pp.6719-6725, 2005. ,
DOI : 10.1016/j.polymer.2005.05.026
URL : https://hal.archives-ouvertes.fr/hal-00530704
moulding of short fiber reinforced thermoplastics : a comparaison between experimental results and numerical simulation, ECCM, vol.12, 2006. ,
Lehrbuch der krisallphysik, 1910. ,
Uber die beziehung zwischen den beiden elastizitätskonstanten isotroper körper, p.573, 1989. ,
DOI : 10.1002/andp.18892741206
A method for dynamic simulation of rigid and flexible fibers in a flow field, The Journal of Chemical Physics, vol.98, issue.1, 1993. ,
DOI : 10.1063/1.464607
Numerical simulation of semi-dilute suspensions of rodlike particles in shear flow, Journal of Non-Newtonian Fluid Mechanics, vol.54, pp.405-421, 1994. ,
DOI : 10.1016/0377-0257(94)80033-2