.. Lois-d-'´-ecrouissage, 60 VII.3 Signification physique et indications sur la détermination des paramètres du modèle, p.61

A. Acharya and J. Bassani, Lattice incompatibility and a gradient theory of crystal plasticity, Journal of the Mechanics and Physics of Solids, vol.48, issue.8, pp.1565-1595, 2000.
DOI : 10.1016/S0022-5096(99)00075-7

A. Acharya and A. Beaudoin, Grain-size effect in viscoplastic polycrystals at moderate strains, Journal of the Mechanics and Physics of Solids, vol.48, issue.10, pp.2213-2230, 2000.
DOI : 10.1016/S0022-5096(00)00013-2

E. Aifantis, The physics of plastic deformation, International Journal of Plasticity, vol.3, issue.3, pp.211-248, 1987.
DOI : 10.1016/0749-6419(87)90021-0

E. Aifantis, Gradient Deformation Models at Nano, Micro, and Macro Scales, Journal of Engineering Materials and Technology, vol.121, issue.2, pp.189-202, 1999.
DOI : 10.1115/1.2812366

A. Arsenlis and D. Parks, Crystallographic aspects of geometrically-necessary and statistically-stored dislocation density, Acta Materialia, vol.47, issue.5, pp.1597-1611, 1999.
DOI : 10.1016/S1359-6454(99)00020-8

R. Asaro, Crystal Plasticity, Journal of Applied Mechanics, vol.50, issue.4b, pp.921-934, 1983.
DOI : 10.1115/1.3167205

M. Ashby, The deformation of plastically non-homogeneous materials, Philosophical Magazine, vol.245, issue.170, pp.399-424, 1970.
DOI : 10.1016/0001-6160(64)90034-3

F. Barbe, S. Forest, C. , and G. , Intergranular and intragranular behavior of polycrystalline aggregates.Part 2: Results, International Journal of Plasticity, vol.17, issue.4, pp.537-563, 2001.
DOI : 10.1016/S0749-6419(00)00062-0

J. Bassani, A. Needleman, and E. V. , Plastic flow in a composite: a comparison of nonlocal continuum and discrete dislocation predictions, International Journal of Solids and Structures, vol.38, issue.5, pp.833-853, 2001.
DOI : 10.1016/S0020-7683(00)00059-7

R. Becker, Analysis of texture evolution in channel die compression???I. Effects of grain interaction, Acta Metallurgica et Materialia, vol.39, issue.6, pp.1211-1230, 1991.
DOI : 10.1016/0956-7151(91)90209-J

R. Becker and S. Panchanadeeswaran, Effects of grain interactions on deformation and local texture in polycrystals, Acta Metallurgica et Materialia, vol.43, issue.7, pp.2701-2719, 1995.
DOI : 10.1016/0956-7151(94)00460-Y

R. Becker, R. , and O. , Incorporation of microstructural geometry in material modelling, Modelling and Simulation in Materials Science and Engineering, vol.2, issue.3A, pp.439-454, 1994.
DOI : 10.1088/0965-0393/2/3A/002

M. Berveiller and A. Zaoui, An extension of the self-consistent scheme to plastically-flowing polycrystals, Journal of the Mechanics and Physics of Solids, vol.26, issue.5-6, pp.325-344, 1979.
DOI : 10.1016/0022-5096(78)90003-0

J. Besson, F. Bultel, and S. Forest, Plasticité des milieux de cosserat. application aux composites particulaires. 4` eme Colloque en Calcul des Structures, pp.759-764, 1999.

A. Bhattacharyya, E. El-danaf, S. Kalidindi, and R. Doherty, Evolution of grainscale microstructure during large strain simple compression of polycrystalline aluminium with quasi columnar grains : OIM measurements and numerical simulations, Acta Metall. Mater, vol.17, pp.861-883, 2001.

R. D. Borst, A generalisation of theory for polar continua, Computer Methods in Applied Mechanics and Engineering, vol.103, issue.3, pp.347-362, 1993.
DOI : 10.1016/0045-7825(93)90127-J

O. Bouaziz, Relations microstructures-comportement des aciers et couplage avec lesévolutions lesévolutions métallurgiques, 2005.

O. Bouaziz and P. Buessler, Iso-work Increment Assumption for Heterogeneous Material Behaviour Modelling, Advanced Engineering Materials, vol.6, issue.12, pp.79-83, 2004.
DOI : 10.1002/adem.200300524

O. Bouaziz, T. Iung, M. Kandel, and C. Lecomte, Physical modelling of microstructure and mechanical properties of dual-phase steel, Le Journal de Physique IV, vol.11, issue.PR4, pp.223-231, 2001.
DOI : 10.1051/jp4:2001428

C. Boutin, Microstructural effects in elastic composites, International Journal of Solids and Structures, vol.33, issue.7, pp.1023-1051, 1996.
DOI : 10.1016/0020-7683(95)00089-5

URL : https://hal.archives-ouvertes.fr/hal-00940462

G. Cailletaud, S. Forest, D. Jeulin, F. Feyel, I. Galliet et al., Some elements of microstructural mechanics, Computational Materials Science, vol.27, issue.3, pp.351-374, 2003.
DOI : 10.1016/S0927-0256(03)00041-7

G. Cailletaud and P. Pilvin, Utilisation des modèles polycrystallins pour le calcul parélémentsparéléments finis, pp.515-541, 1994.
DOI : 10.1080/12506559.1994.10511147

K. Cheong, E. Busso, and A. Arsenlis, A study of microstructural length scale effects on the behaviour of FCC polycrystals using strain gradient concepts, International Journal of Plasticity, vol.21, issue.9, pp.1797-1814, 2005.
DOI : 10.1016/j.ijplas.2004.11.001

H. Dai and D. Parks, Geometrically-necessary dislocation density and scaledependent crystal plasticity, Proceedings of Plasticity '97, pp.17-18, 1997.

L. Decker and D. Jeulin, Simulations 3d de matériaux aléatoires polycrystallins, CITScience et Génie des Matériaux, pp.271-275, 2000.

F. Delaire, J. Raphanel, R. , and C. , Plastic heterogeneities of a copper multicrystal deformed in uniaxial tension: experimental study and finite element simulations, Acta Materialia, vol.48, issue.5, pp.1075-1087, 2000.
DOI : 10.1016/S1359-6454(99)00408-5

URL : https://hal.archives-ouvertes.fr/hal-00111290

O. Diard, Un exemple de couplage, comportement-endommagement-environnement, dans les polycristaux. ApplicationàApplicationà l'interaction Pastille-Gaine, Thèse de doctorat, 2001.

F. Eberl, S. Forest, T. Wroblewski, G. Cailletaud, and J. And-lebrun, Finite-element calculations of the lattice rotation field of a tensile-loaded nickel-based alloy multicrystal and comparison with topographical X-ray diffraction measurements, Metallurgical and Materials Transactions A, vol.8, issue.9, pp.2825-2833, 2002.
DOI : 10.1007/s11661-002-0268-1

P. Errieau and C. Rey, Modeling of deformation and rotation bands and of deformation induced grain boundaries in IF steel aggregate during large plane strain compression, International Journal of Plasticity, vol.20, issue.10, pp.1763-1788, 2004.
DOI : 10.1016/j.ijplas.2003.11.014

Y. Estrin and H. Mecking, A unified phenomenological description of work hardening and creep based on one-parameter models, Acta Metallurgica, vol.32, issue.1, pp.57-70, 1984.
DOI : 10.1016/0001-6160(84)90202-5

L. Evers, W. Brekelmans, and M. Geers, Scale dependent crystal plasticity framework with dislocation density and grain boundary effects, International Journal of Solids and Structures, vol.41, issue.18-19, pp.5209-5230, 2004.
DOI : 10.1016/j.ijsolstr.2004.04.021

L. Evers, D. Parks, W. Brekelmans, and M. Geers, Crystal plasticity model with enhanced hardening by geometrically necessary dislocation accumulation, Journal of the Mechanics and Physics of Solids, vol.50, issue.11, pp.2403-2424, 2002.
DOI : 10.1016/S0022-5096(02)00032-7

C. Fahrat and F. Roux, Implicit parallel processing in structural mechanics, Comput. Mech. Adv, vol.2, 1994.

F. Feyel, Application du calculparalì ele aux modèlesmodèlesà grand nombre de variables internes, Thèse de doctorat, 1998.

F. Feyel, G. Cailletaud, S. Kruch, R. , and F. , Application du calculparalì ele aux modèlesmodèlesà grand nombre de variables internes, Colloque national en calcul de structures, 1997.

M. Fivel and S. Forest, Plasticité cristalline et transition d'´ echelle : cas du polycristal, 2004.

M. Fivel, C. Robertson, G. Canova, and L. Boulanger, Three-dimensional modeling of indent-induced plastic zone at a mesoscale1This paper is dedicated to Gilles Canova whose untimely death occurred on 28 July 1997 at the age of 43.1, Acta Materialia, vol.46, issue.17, pp.6183-6194, 1998.
DOI : 10.1016/S1359-6454(98)00278-X

N. Fleck and J. Hutchinson, Strain Gradient Plasticity, Adv. Appl. Mech, vol.33, pp.295-361, 1997.
DOI : 10.1016/S0065-2156(08)70388-0

N. Fleck and J. Hutchinson, A reformulation of strain gradient plasticity, Journal of the Mechanics and Physics of Solids, vol.49, issue.10, pp.2245-2271, 2001.
DOI : 10.1016/S0022-5096(01)00049-7

N. Fleck, G. Muller, M. Ashby, and J. Hutchinson, Strain gradient plasticity: Theory and experiment, Acta Metallurgica et Materialia, vol.42, issue.2, pp.475-487, 1994.
DOI : 10.1016/0956-7151(94)90502-9

S. K. Forest, R. Cahn, M. Flemings, B. Ilschner, E. Kramer et al., Cosserat Media, Encyclopedia of Materials : Science and Technology, pp.1715-1718, 2001.
DOI : 10.1016/B0-08-043152-6/00309-0

S. Forest, F. Barbe, C. , and G. , Cosserat modelling of size effects in the mechanical behaviour of polycrystals and multi-phase materials, International Journal of Solids and Structures, vol.37, issue.46-47, pp.7105-7126, 2000.
DOI : 10.1016/S0020-7683(99)00330-3

S. Forest, P. Boubidi, and R. Sievert, Strain localization patterns at a crack tip in generalized single crystal plasticity, Scripta Materialia, vol.44, issue.6, pp.953-958, 2001.
DOI : 10.1016/S1359-6462(00)00684-9

S. Forest, G. Cailletaud, and R. Sievert, A Cosserat theory for elastoviscoplastic single crystals at finite deformation, Archives of Mechanics, vol.49, issue.4, pp.705-736, 1997.

S. Forest and M. Fivel, Modèles discrets et continus de la plasticité des métaux : du monocristal au polycristal, Ecole thématique St Pierre d'Oléron Microscopie des défauts cristallins, ouvrage collectif sous la direction de J.P. Morniroli, pp.457-466, 2001.

S. Forest, F. Pradel, and K. Sab, Asymptotic analysis of heterogeneous Cosserat media, International Journal of Solids and Structures, vol.38, issue.26-27, pp.4585-4608, 2001.
DOI : 10.1016/S0020-7683(00)00295-X

S. Forest and R. Sedlá?ek, Plastic slip distribution in two-phase laminate microstructures: Dislocation-based versus generalized-continuum approaches, Philosophical Magazine, vol.317, issue.2, pp.245-276, 2003.
DOI : 10.1115/1.3157599

S. Forest, R. Sievert, and E. Aifantis, Strain Gradient Crystal Plasticity: Thermomechanical Formulations and Applications, Journal of the Mechanical Behavior of Materials, vol.13, issue.3-4, pp.219-232, 2002.
DOI : 10.1515/JMBM.2002.13.3-4.219

URL : https://opus4.kobv.de/opus4-bam/frontdoor/index/index/docId/2858

D. François, A. Pineau, and A. Zaoui, Comportement mécanique des matériaux, 1991.

H. Gao and Y. Huang, Geometrically necessary dislocation and size-dependent plasticity, Scripta Materialia, vol.48, issue.2, pp.113-118, 2003.
DOI : 10.1016/S1359-6462(02)00329-9

P. Germain, La méthode des puissances virtuelles en mécanique des milieux continus, premì ere partie : théorie du second gradient, J. de Mécanique, vol.12, pp.235-274, 1973.

P. Germain, The Method of Virtual Power in Continuum Mechanics. Part 2: Microstructure, SIAM Journal on Applied Mathematics, vol.25, issue.3, pp.556-575, 1973.
DOI : 10.1137/0125053

E. Gilbert, Random Subdivisions of Space into Crystals, The Annals of Mathematical Statistics, vol.33, issue.3, pp.958-972, 1962.
DOI : 10.1214/aoms/1177704464

I. Groma and G. Voros, Origin of gradient terms in plasticity at different length scales, Scripta Materialia, vol.48, issue.2, pp.161-165, 2003.
DOI : 10.1016/S1359-6462(02)00339-1

W. Günther, Zur Statik und Kinematik des Cosseratschen Kontinuums, Abhandlungen der Braunschweig. Wiss. Ges, vol.10, pp.195-213, 1958.

M. Gurtin, A gradient theory of single-crystal viscoplasticity that accounts for geometrically necessary dislocations, Journal of the Mechanics and Physics of Solids, vol.50, issue.1, pp.5-32, 2002.
DOI : 10.1016/S0022-5096(01)00104-1

M. Haboussi, H. Dumontet, and J. Billoët, On the modelling of interfacial transition behaviour in composite materials, Computational Materials Science, vol.20, issue.2, pp.251-266, 2001.
DOI : 10.1016/S0927-0256(00)00183-X

N. Hansen, Hall???Petch relation and boundary strengthening, Scripta Materialia, vol.51, issue.8, pp.801-806, 2004.
DOI : 10.1016/j.scriptamat.2004.06.002

J. Harder, A crystallographic model for the study of local deformation processes in polycrystals, International Journal of Plasticity, vol.15, issue.6, pp.605-624, 1999.
DOI : 10.1016/S0749-6419(99)00002-9

S. Harren and R. Asaro, Nonuniform deformations in polycrystals and aspects of the validity of the Taylor model, Journal of the Mechanics and Physics of Solids, vol.37, issue.2, pp.191-232, 1989.
DOI : 10.1016/0022-5096(89)90010-0

K. Hashimoto and H. Margolin, The role of elastic interaction stresses on the onset of slip in polycrystalline alpha brass???I. Experimental determination of operating slip systems and qualitative analysis, Acta Metallurgica, vol.31, issue.5, pp.773-785, 1983.
DOI : 10.1016/0001-6160(83)90093-7

F. Havlicek, J. Kratochvil, M. Tokuda, L. , and V. , Finite element model of plastically deformed multicrystal, International Journal of Plasticity, vol.6, issue.3, p.281, 1990.
DOI : 10.1016/0749-6419(90)90003-W

R. Hill, Continuum micro-mechanics of elastoplastic polycrystals, Journal of the Mechanics and Physics of Solids, vol.13, issue.2, pp.89-101, 1965.
DOI : 10.1016/0022-5096(65)90023-2

T. Hoc, Etudes expérimentales et numériques de la localisation de la déformation lors de changements de trajet dans un acier doux, Thèse de doctorat, 1999.

T. Hoc, J. Crepin, L. Gélébart, and A. Zaoui, A procedure for identifying the plastic behavior of single crystals from the local response of polycrystals, Acta Materialia, vol.51, issue.18, pp.5477-5488, 2003.
DOI : 10.1016/S1359-6454(03)00413-0

T. Hoc, C. Rey, and J. Raphanel, Experimental and numerical analysis of localization during sequential test for an IF???Ti steel, Acta Materialia, vol.49, issue.10, pp.1835-1846, 2001.
DOI : 10.1016/S1359-6454(01)00076-3

URL : https://hal.archives-ouvertes.fr/hal-00111341

R. Honeycombe, The plastic deformation of metals, 1984.

R. Honeycombe, The plastic deformation of metals, 1984.

S. Kalidindi, C. Bronkhorst, A. , and L. , Crystallographic texture evolution in bulk deformation processing of FCC metals, Journal of the Mechanics and Physics of Solids, vol.40, issue.3, pp.537-569, 1992.
DOI : 10.1016/0022-5096(92)80003-9

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and D. Jeulin, Determination of the size of the representative volume element for random composites: statistical and numerical approach, International Journal of Solids and Structures, vol.40, issue.13-14, pp.3647-3679, 2003.
DOI : 10.1016/S0020-7683(03)00143-4

J. Kratochvil, E. Labbé, C. Rey, Y. , and S. , On physically motivated mesoscale cosserat model of shear band formation, Scripta Materialia, vol.41, issue.7, pp.761-766, 1999.
DOI : 10.1016/S1359-6462(99)00214-6

E. Kröner, On the physical reality of torque stresses in continuum mechanics, International Journal of Engineering Science, vol.1, issue.2, pp.261-278, 1963.
DOI : 10.1016/0020-7225(63)90037-5

E. Kröner, M. F. Kanninen, W. F. Adler, A. R. Rosenfield, and R. I. Jaffee, Initial studies of a plasticity theory based upon statistical mechanics In Inelastic behavior of solids, pp.137-148, 1969.

E. Labbé, T. Hoc, R. , and C. , A simplified crystallographic approach of bifurcation for single crystals and polycrystals, Le Journal de Physique IV, vol.08, issue.PR8, pp.8-215, 1998.
DOI : 10.1051/jp4:1998827

R. Lebensohn, O. Castelnau, R. Brenner, and P. Gilormini, Study of the antiplane deformation of linear 2-D polycrystals with different microstructures, International Journal of Solids and Structures, vol.42, issue.20, pp.5441-5459, 2005.
DOI : 10.1016/j.ijsolstr.2005.02.051

URL : https://hal.archives-ouvertes.fr/hal-00300102

N. Lippmann, T. Steinkopff, S. Schmauder, and P. Gumbsch, 3D-finite-element-modelling of microstructures with the method of multiphase elements, Computational Materials Science, vol.9, issue.1-2, pp.28-35, 1997.
DOI : 10.1016/S0927-0256(97)00055-4

J. Mandel, Plasticité classique et viscoplasticité, volume 97 of CISM Courses and lectures, 1971.

J. Mandel, Equations constitutives et directeurs dans les milieux plastiques et viscoplastiques, International Journal of Solids and Structures, vol.9, issue.6, pp.725-740, 1973.
DOI : 10.1016/0020-7683(73)90120-0

N. Mary, V. Vignal, R. Oltra, C. , and L. , Finite-element and XRD methods for the determination of the residual surface stress field and the elastic???plastic behaviour of duplex steels, Philosophical Magazine, vol.2, issue.12, pp.1227-1242, 2005.
DOI : 10.1016/0167-6636(96)00020-8

URL : https://hal.archives-ouvertes.fr/hal-00436838

R. Masson, Estimations non linéaires du comportement global de matériaux hétérogènes en formulation affine, 1998.

F. Mcclintock, Contribution of interface couples to the energy of a dislocation, Acta Metallurgica, vol.8, issue.2, p.127, 1960.
DOI : 10.1016/0001-6160(60)90096-1

F. Mcclintock, P. André, K. Schwerdt, and R. Stoeckly, Interface Couples in Crystals, Nature, vol.231, issue.4636, pp.652-653, 1958.
DOI : 10.1038/182652a0

H. Mecking and U. Kocks, Kinetics of flow and strain-hardening, Acta Metallurgica, vol.29, issue.11, pp.1865-1875, 1981.
DOI : 10.1016/0001-6160(81)90112-7

A. Menzel and P. Steinmann, On the continuum formulation of higher gradient plasticity for single and polycrystals, Journal of the Mechanics and Physics of Solids, vol.48, issue.8, pp.1777-1796, 2000.
DOI : 10.1016/S0022-5096(99)00024-1

L. Méric, G. Cailletaud, and M. Gasperini, F.E. calculations of copper bicrystal specimens submitted to tension-compression tests, Acta Metallurgica et Materialia, vol.42, issue.3, pp.921-935, 1994.
DOI : 10.1016/0956-7151(94)90287-9

L. Méric, P. Poubanne, C. , and G. , Single Crystal Modeling for Structural Calculations: Part 1???Model Presentation, Journal of Engineering Materials and Technology, vol.113, issue.1, pp.162-170, 1991.
DOI : 10.1115/1.2903374

D. Mika and P. Dawson, Polycrystal plasticity modeling of intracrystalline boundary textures, Acta Materialia, vol.47, issue.4, pp.1355-1369, 1999.
DOI : 10.1016/S1359-6454(98)00386-3

R. Mindlin and N. Eshel, On first strain-gradient theories in linear elasticity, International Journal of Solids and Structures, vol.4, issue.1, pp.109-124, 1968.
DOI : 10.1016/0020-7683(68)90036-X

H. Miyamoto, Application of finite-element method to fracture mechanics, First International Conference on Structural Mechanics in Reactor Technology, pp.535-566, 1972.

G. Mohamed, B. Bacroix, T. Ungar, J. Raphanel, and T. Chauveau, Experimental and numerical determination of the intragranular work hardening in a cold rolled multicrystal, Materials Science and Engineering: A, vol.234, issue.236, pp.234-236940, 1997.
DOI : 10.1016/S0921-5093(97)00313-4

T. Mura, Micromechanics of defects in solids, 1987.

T. Mura, Continuous Distribution of Dislocations and the Mathematical Theory of Plasticity, physica status solidi (b), vol.8, issue.2, pp.447-453, 1965.
DOI : 10.1002/pssb.2220100205

A. Musienko, Plasticité cristalline en présence de grandes déformations et d' endommagement, 2005.

C. Niordson and J. Hutchinson, On lower order strain gradient plasticity theories, European Journal of Mechanics - A/Solids, vol.22, issue.6, pp.771-778, 2003.
DOI : 10.1016/S0997-7538(03)00069-X

J. Nye, Some geometrical relations in dislocated crystals, Acta Metallurgica, vol.1, issue.2, pp.153-162, 1953.
DOI : 10.1016/0001-6160(53)90054-6

S. Panchanadeeswaran, R. Doherty, and R. Becker, Direct observation of orientation change by channel die compression of polycrystalline aluminum-use of a split sample, 1996.

A. Paquin, Micromechanical modeling of the elastic???viscoplastic behavior of polycrystalline steels, International Journal of Plasticity, vol.17, issue.9, pp.1267-1302, 2001.
DOI : 10.1016/S0749-6419(00)00047-4

R. Parisot, S. Forest, A. Gourgues, A. Pineau, and D. Mareuse, Modeling the mechanical behavior of a multicrystalline zinc coating on a hot-dip galvanized steel sheet, Computational Materials Science, vol.19, issue.1-4, pp.189-204, 2000.
DOI : 10.1016/S0927-0256(00)00155-5

S. Quilici and G. Cailletaud, FE simulation of macro-, meso- and micro-scales in polycrystalline plasticity, Computational Materials Science, vol.16, issue.1-4, pp.383-390, 1999.
DOI : 10.1016/S0927-0256(99)00081-6

J. Rice, Inelastic constitutive relations for solids: An internal-variable theory and its application to metal plasticity, Journal of the Mechanics and Physics of Solids, vol.19, issue.6, pp.433-455, 1971.
DOI : 10.1016/0022-5096(71)90010-X

E. Sanchez-palencia and A. Zaoui, Homogenization techniques for composite media, Lecture Notes in Physics, vol.272, issue.272, 1987.
DOI : 10.1007/3-540-17616-0

G. Sarma and P. Dawson, Texture predictions using a polycrystal plasticity model incorporating neighbor interactions, International Journal of Plasticity, vol.12, issue.8, pp.1023-1054, 1996.
DOI : 10.1016/S0749-6419(96)00040-X

G. Sarma, B. Radhakrishnan, Z. , and T. , Finite element simulations of cold deformation at the mesoscale, Computational Materials Science, vol.12, issue.2, pp.105-123, 1998.
DOI : 10.1016/S0927-0256(98)00036-6

J. Shu, Scale-dependent deformation of porous single crystals, International Journal of Plasticity, vol.14, issue.10-11, pp.1085-1107, 1998.
DOI : 10.1016/S0749-6419(98)00048-5

J. Shu and N. Fleck, The prediction of a size effect in microindentation, International Journal of Solids and Structures, vol.35, issue.13, pp.1363-1383, 1998.
DOI : 10.1016/S0020-7683(97)00112-1

J. Shu and N. Fleck, Strain gradient crystal plasticity: size-dependentdeformation of bicrystals, Journal of the Mechanics and Physics of Solids, vol.47, issue.2, pp.297-324, 1999.
DOI : 10.1016/S0022-5096(98)00081-7

J. Y. Shu, W. E. King, and N. A. Fleck, Finite elements for materials with strain gradient effects, International Journal for Numerical Methods in Engineering, vol.9, issue.3, pp.373-391, 1999.
DOI : 10.1002/(SICI)1097-0207(19990130)44:3<373::AID-NME508>3.0.CO;2-7

V. Smyshlyaev and N. Fleck, Bounds and estimates for linear composites with strain gradient effects, Journal of the Mechanics and Physics of Solids, vol.42, issue.12, pp.1851-1882, 1994.
DOI : 10.1016/0022-5096(94)90016-7

V. Smyshlyaev and N. Fleck, The role of strain gradients in the grain size effect for polycrystals, Journal of the Mechanics and Physics of Solids, vol.44, issue.4, pp.465-495, 1996.
DOI : 10.1016/0022-5096(96)00009-9

A. Sommerfeld, Mechanik der deformierbaren Medien, VorlesungenüberVorlesungen¨Vorlesungenüber Theoretische Physik, vol.2, 1978.

H. Takahashi, H. Motohashi, M. Tokuda, A. , and T. , Elastic-plastic finite element polycrystal model, International Journal of Plasticity, vol.10, issue.1, pp.63-80, 1994.
DOI : 10.1016/0749-6419(94)90054-X

C. Teodosiu, J. Raphanel, and L. Tabourot, Finite element simulation of the large elastoplastic deformation of multicrystals, Proc. Int. Seminar Mecamat 91, pp.153-168, 1993.

P. Thibaux, Y. Chastel, and A. Chaze, Finite element simulation of a two-phase viscoplastic material: calculation of the mechanical behaviour, Computational Materials Science, vol.18, issue.1, pp.118-125, 2000.
DOI : 10.1016/S0927-0256(00)00092-6

URL : https://hal.archives-ouvertes.fr/hal-00538182

G. Weng, A micromechanical theory of grain-size dependence in metal plasticity, Journal of the Mechanics and Physics of Solids, vol.31, issue.3, pp.193-203, 1983.
DOI : 10.1016/0022-5096(83)90021-2

F. Xun, G. Hu, and Z. Huang, Size-dependence of overall in-plane plasticity for fiber composites, International Journal of Solids and Structures, vol.41, issue.16-17, pp.4713-4730, 2004.
DOI : 10.1016/j.ijsolstr.2004.02.063