A. Acharya, J. L. Bassani, and A. Beaudoin, Geometrically necessary dislocations, hardening, and a simple gradient theory of crystal plasticity, Scripta Materialia, vol.48, issue.2, pp.167-172, 2003.
DOI : 10.1016/S1359-6462(02)00337-8

A. Acharya and A. J. 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

A. S. Argon and P. Haasen, A new mechanism of work hardening in the late stages of large strain plastic flow in F.C.C. and diamond cubic crystals, Acta Metallurgica et Materialia, vol.41, issue.11, pp.3289-3306, 1993.
DOI : 10.1016/0956-7151(93)90058-Z

A. Arsenlis and D. M. 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

A. Arsenlis and D. M. Parks, Modeling the evolution of crystallographic dislocation density in crystal plasticity, Journal of the Mechanics and Physics of Solids, vol.50, issue.9, pp.1979-2009, 2002.
DOI : 10.1016/S0022-5096(01)00134-X

R. J. Asaro and J. R. Rice, Strain localization in ductile single crystals, Journal of the Mechanics and Physics of Solids, vol.25, issue.5, pp.309-338, 1977.
DOI : 10.1016/0022-5096(77)90001-1

M. F. 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

S. Balasubramanian and L. Anand, Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homologous temperatures, Journal of the Mechanics and Physics of Solids, vol.50, issue.1, pp.101-126, 2002.
DOI : 10.1016/S0022-5096(01)00022-9

F. Barbe, L. Decker, D. Jeulin, and C. G. , Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model, International Journal of Plasticity, vol.17, issue.4, pp.513-536, 2001.
DOI : 10.1016/S0749-6419(00)00061-9

J. Baruchel, P. Bleuet, A. Bravin, P. Coan, E. Lima et al., Advances in synchrotron hard X-ray based imaging, Comptes Rendus Physique, vol.9, issue.5-6, pp.624-641, 2008.
DOI : 10.1016/j.crhy.2007.08.003

URL : https://hal.archives-ouvertes.fr/hal-00433982

S. J. Basinski and Z. S. Basinski, Plastic deformation and work hardening in Dislocations in Solids, Dislocation in metallurgy (ed. Nabarro F. R. N.), pp.261-362, 1979.

J. L. Bassani and T. Y. Wu, Latent Hardening in Single Crystals II. Analytical Characterization and Predictions, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.435, issue.1893, pp.21-41, 1991.
DOI : 10.1098/rspa.1991.0128

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

J. Besson, R. Le-riche, R. Foerch, and C. G. , Object-Oriented Programming Applied to the Finite Element Method Part II. Application to Material Behaviors, Revue Europ??enne des ??l??ments Finis, vol.62, issue.1, pp.567-588, 1998.
DOI : 10.1093/comjnl/7.4.308

J. M. Burgers, Physics. ??? Some considerations on the fields of stress connected with dislocations in a regular crystal lattice. I, Proceedings of the Koninklijke Nederlandse Akad. Wetenschappen, pp.293-325, 1939.
DOI : 10.1007/978-94-011-0195-0_11

E. P. Busso, Cyclic deformation of monocrystalline nickel aluminide and high temperature coatings, Thèse de Doctorat, 1990.

E. P. Busso and K. S. Cheong, Length scale effects on the macroscopic behaviour of single and polycrystalline FCC crystals, n ? PR5, pp 161?170. (5th European Mechanics of Materials Conference, 2001.
DOI : 10.1051/jp4:2001520

E. P. Busso and F. A. Mcclintock, A dislocation mechanics-based crystallographic model of a B2-type intermetallic alloy, International Journal of Plasticity, vol.12, issue.1, pp.1-28, 1996.
DOI : 10.1016/S0749-6419(95)00041-0

E. P. Busso, F. T. Meissonnier, O. Dowd, and N. P. , Gradient-dependent deformation of two-phase single crystals, Journal of the Mechanics and Physics of Solids, vol.48, issue.11, pp.2333-2361, 2000.
DOI : 10.1016/S0022-5096(00)00006-5

J. F. Butler and H. Hu, Channel die compression of aluminum single-crystals. Materials science and engineering a-structural materials properties microstructure and processing, pp.29-33, 1989.

G. Cailletaud, Micromechanical approach of polycrystalline behavior, pp.353-365, 1988.

G. Cailletaud, A micromechanical approach to inelastic behaviour of metals, International Journal of Plasticity, vol.8, issue.1, pp.55-73, 1992.
DOI : 10.1016/0749-6419(92)90038-E

K. S. Cheong and E. P. Busso, Discrete dislocation density modelling of single phase FCC polycrystal aggregates, Acta Materialia, vol.52, issue.19, pp.5665-5675, 2004.
DOI : 10.1016/j.actamat.2004.08.044

K. S. Cheong and E. P. Busso, Effects of lattice misorientations on strain heterogeneities in FCC polycrystals, Journal of the Mechanics and Physics of Solids, vol.54, issue.4, pp.671-689, 2006.
DOI : 10.1016/j.jmps.2005.11.003

K. S. Cheong, E. P. Busso, and A. A. , 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.

B. Devincre, T. Hoc, and K. L. , Collinear interactions of dislocations and slip systems, Materials Science and Engineering: A, vol.400, issue.401
DOI : 10.1016/j.msea.2005.02.071

URL : https://hal.archives-ouvertes.fr/hal-00019070

J. Driver and B. Chenal, ´ Ecrouissage d'alliages d'aluminium, 2000.

J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion and related problems, Proc. Roy. Soc. London, pp.376-396, 1957.

Y. Estrin, L. S. Toth, A. Molinari, and Y. Brechet, A dislocation-based model for all hardening stages in large strain deformation, Acta Materialia, vol.46, issue.15, pp.5509-5522, 1998.
DOI : 10.1016/S1359-6454(98)00196-7

L. P. Evers, D. M. Parks, W. A. Brekelmans, and G. M. , 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

N. A. Fleck and J. W. Hutchinson, Strain Gradient Plasticity, Advances in Applied Mechanics, pp.295-361, 1997.
DOI : 10.1016/S0065-2156(08)70388-0

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

P. Franciosi, M. Berveiller, and A. Zaoui, Latent hardening in copper and aluminium single crystals, Acta Metallurgica, vol.28, issue.3, pp.273-283, 1980.
DOI : 10.1016/0001-6160(80)90162-5

J. Frankel, Zur theorie der elastizitätsgrenze und der festigkeit kristallinischer körper, Zeitschrift fur Physik, pp.572-609, 1926.

H. J. Frost and M. F. Ashby, Deformation-mechanism maps, 1982.

M. E. 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

E. Hall, The deformation and ageing of mild steel, Proceedings of the Physical Soc, pp.747-753, 1951.

N. Hansen, The effect of grain size and strain on the tensile flow stress of aluminium at room temperature, Acta Metallurgica, vol.25, issue.8, pp.863-869, 1977.
DOI : 10.1016/0001-6160(77)90171-7

F. J. Harewood and P. E. Mchugh, Comparison of the implicit and explicit finite element methods using crystal plasticity, Computational Materials Science, vol.39, issue.2, pp.481-494, 2007.
DOI : 10.1016/j.commatsci.2006.08.002

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

H. Honeff and H. Mecking, Analysis of the deformation texture at different rolling conditions, Proceedings of the 6th International Conference on Textures of Materials, pp.347-355, 1981.

D. A. Hughes and N. Hansen, High angle boundaries formed by grain subdivision mechanisms, Acta Materialia, vol.45, issue.9, pp.3871-3886, 1997.
DOI : 10.1016/S1359-6454(97)00027-X

D. A. Hughes and N. Hansen, Microstructure and strength of nickel at large strains, Acta Materialia, vol.48, issue.11, pp.2985-3004, 2000.
DOI : 10.1016/S1359-6454(00)00082-3

F. J. Humphreys and M. Hatherly, Recrystallization and Related Annealing Phenomena, 2004.

S. R. Kalidindi, C. A. Bronkhorst, and A. 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 J. D. , 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

U. F. Kocks, The theory of an obstacle-controlled yield strength???Report after an international workshop, Materials Science and Engineering, vol.27, issue.3, pp.291-298, 1977.
DOI : 10.1016/0025-5416(77)90212-9

U. F. Kocks and T. J. Brown, Latent hardening in aluminum, Acta Metallurgica, vol.14, issue.2, pp.87-98, 1966.
DOI : 10.1016/0001-6160(66)90290-2

U. F. Kocks and H. Chandra, Slip geometry in partially constrained deformation, Acta Metallurgica, vol.30, issue.3, p.695, 1982.
DOI : 10.1016/0001-6160(82)90119-5

U. F. Kocks, C. N. Tomé, and W. H. , Texture and anisotropy, 2000.

L. Kubin, T. Hoc, and D. B. , Dynamic recovery and its orientation dependence in face-centered cubic crystals, Acta Materialia, vol.57, issue.8, pp.2567-2575, 2009.
DOI : 10.1016/j.actamat.2009.02.013

A. V. Kumar and C. H. Yang, Study of work hardening models for single crystals using three dimensional finite element analysis, International Journal of Plasticity, vol.15, issue.7, pp.737-754, 1999.
DOI : 10.1016/S0749-6419(99)00015-7

R. A. Lebensohn, N-site modeling of a 3D viscoplastic polycrystal using Fast Fourier Transform, Acta Materialia, vol.49, issue.14, pp.2723-2737, 2001.
DOI : 10.1016/S1359-6454(01)00172-0

R. A. Lebensohn and C. N. Tomé, A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: Application to zirconium alloys, Acta Metallurgica et Materialia, vol.41, issue.9, pp.2611-2624, 1993.
DOI : 10.1016/0956-7151(93)90130-K

A. Ma and F. Roters, A constitutive model for fcc single crystals based on dislocation densities and its application to uniaxial compression of aluminium single crystals, Acta Materialia, vol.52, issue.12, pp.3603-3612, 2004.
DOI : 10.1016/j.actamat.2004.04.012

K. Madi, S. Forest, M. Boussuge, S. Gaillì-egue, E. Lataste et al., Finite element simulations of the deformation of fused-cast refractories based on X-ray computed tomography, Computational Materials Science, vol.39, issue.1, pp.224-229, 2007.
DOI : 10.1016/j.commatsci.2006.01.033

URL : https://hal.archives-ouvertes.fr/hal-00140558

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

F. T. Meissonnier, E. P. Busso, O. Dowd, and N. P. , Finite element implementation of a generalised non-local rate-dependent crystallographic formulation for finite strains, 7th International Symposium on Plasticity and Its Current Applications, pp.601-640, 1999.
DOI : 10.1016/S0749-6419(00)00064-4

C. C. Merriman, D. P. Field, and P. Trivedi, Orientation dependence of dislocation structure evolution during cold rolling of aluminum, Materials Science and Engineering: A, vol.494, issue.1-2, pp.28-35, 2008.
DOI : 10.1016/j.msea.2007.10.090

D. P. Mika and P. R. Dawson, Effects of grain interaction on deformation in polycrystals, Materials Science and Engineering: A, vol.257, issue.1, pp.62-76, 1998.
DOI : 10.1016/S0921-5093(98)00824-7

A. Molinari, G. R. Canova, and A. S. , A self consistent approach of the large deformation polycrystal viscoplasticity, Acta Metallurgica, vol.35, issue.12, pp.2983-2994, 1987.
DOI : 10.1016/0001-6160(87)90297-5

L. E. Murr, Interfacial phenomena in metals and alloys, 1975.

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

E. Nakamachi, N. N. Tam, and H. Morimoto, Multi-scale finite element analyses of sheet metals by using SEM-EBSD measured crystallographic RVE models, International Journal of Plasticity, vol.23, issue.3, pp.450-489, 2007.
DOI : 10.1016/j.ijplas.2006.06.002

S. Nemat-nasser and M. Obata, Rate-Dependent, Finite Elasto-Plastic Deformation of Polycrystals, Proceedings of the royal society of London A, pp.343-375, 1986.
DOI : 10.1098/rspa.1986.0101

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

E. Orowan, Zur kristallplastizitat III. uber den mechanismus des gleitvorganges, Zeitschrift fur Physik, pp.634-659, 1934.

E. Orowan, Problems of plastic gliding, Proceedings of the Physical Soc, pp.8-22, 1940.
DOI : 10.1088/0959-5309/52/1/303

B. Peeters, S. R. Kalidindi, P. Van-houtte, and E. Aernoudt, A crystal plasticity based work-hardening/softening model for b.c.c. metals under changing strain paths, Acta Materialia, vol.48, issue.9, pp.2123-2133, 2000.
DOI : 10.1016/S1359-6454(00)00047-1

N. J. Petch, The cleavage strength of polycrystals, J. Iron and Steel Inst, vol.174, pp.25-28, 1953.

M. Polanyi, Gitterstorung die einem kristall plastisch machen konnte, Zeitschrift fur Physik, pp.660-664, 1934.
DOI : 10.1007/bf01341481

P. Castaneda and P. , Exact second-order estimates for the effective mechanical properties of nonlinear composite materials, Journal of the Mechanics and Physics of Solids, vol.44, issue.6, pp.827-862, 1996.
DOI : 10.1016/0022-5096(96)00015-4

F. B. Prinz and A. S. Argon, The evolution of plastic resistance in large strain plastic flow of single phase subgrain forming metals, Acta Metallurgica, vol.32, issue.7, pp.1021-1028, 1984.
DOI : 10.1016/0001-6160(84)90004-X

S. Quilici, S. Forest, and C. G. , On size effects in torsion of multiand polycrystalline specimens, Journal de Physique IV, vol.8, pp.39-48, 1998.

Z. Ren and Q. Zheng, A Quantitative study of minimum sizes of representative volume elements of cubic polycrystals???numerical experiments, Journal of the Mechanics and Physics of Solids, vol.50, issue.4, pp.881-893, 2002.
DOI : 10.1016/S0022-5096(01)00102-8

A. D. Rollet, U. F. Kocks, M. G. Stout, J. D. Embury, and R. D. Doherty, Modelling of large strain work-hardening, Journal of Metals, vol.39, issue.7, p.22, 1987.

F. Roters, D. Raabe, and G. Gottstein, Work hardening in heterogeneous alloys???a microstructural approach based on three internal state variables, Acta Materialia, vol.48, issue.17, pp.4181-4189, 2000.
DOI : 10.1016/S1359-6454(00)00289-5

M. Seefeldt, L. Delannay, B. Peeters, E. Aernoudt, V. Houtte et al., Modelling the initial stage of grain subdivision with the help of a coupled substructure and texture evolution algorithm, Acta Materialia, vol.49, issue.12, pp.2129-2143, 2001.
DOI : 10.1016/S1359-6454(01)00126-4

J. Y. Shu and N. A. 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. Simo and T. Hughes, Computational Inelasticity, 1997.

G. I. Taylor, The mechanism of plastic deformation of crystals Part I -Theoritical, 1934.

G. I. Taylor, Plastic strain in metals, Journal of the Institute of Metals, vol.62, pp.307-324, 1938.

P. Trivedi, D. P. Field, and W. H. , Alloying effects on dislocation substructure evolution of aluminum alloys, International Journal of Plasticity, vol.20, issue.3, pp.459-476, 2004.
DOI : 10.1016/S0749-6419(03)00097-4

P. Van-houtte, L. Delannay, and K. S. , Comparison of two grain interaction models for polycrystal plasticity and deformation texture prediction, International Journal of Plasticity, vol.18, issue.3, pp.359-377, 2002.
DOI : 10.1016/S0749-6419(00)00102-9

P. Van-houtte, S. Li, M. Seefeldt, and L. Delannay, Deformation texture prediction: from the Taylor model to the advanced Lamel model, International Journal of Plasticity, vol.21, issue.3, pp.589-624, 2005.
DOI : 10.1016/j.ijplas.2004.04.011

G. J. Weng, A Unified, Self-Consistent Theory for the Plastic-Creep Deformation of Metals, Journal of Applied Mechanics, vol.49, issue.4, pp.728-734, 1982.
DOI : 10.1115/1.3162609

G. J. 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

Z. Zhao, W. Mao, F. Roters, and R. D. , A texture optimization study for minimum earing in aluminium by use of a texture component crystal plasticity finite element method, Acta Materialia, vol.52, issue.4, pp.1003-1012, 2004.
DOI : 10.1016/j.actamat.2003.03.001

M. A. Zikry and M. Kao, Dislocation based multiple-slip crystalline constitutive formulation for finite-strain plasticity, Scripta Materialia, vol.34, issue.7, pp.1115-1121, 1996.
DOI : 10.1016/1359-6462(95)00629-X

R. Volume-element-of-aggregates and .. , 51 III.3.3 Grain Size Effect, pp.54-58

A. Akef and J. H. Driver, Orientation splitting of cube-oriented face-centred cubic crystals in plane strain compression, Materials Science and Engineering: A, vol.132, pp.245-255, 1991.
DOI : 10.1016/0921-5093(91)90381-V

V. S. Ananthan, T. Leffers, and N. Hansen, Cell and band structures in cold rolled polycrystalline copper, Materials Science and Technology, vol.71, issue.12, pp.1069-1075, 1991.
DOI : 10.1016/0001-6160(88)90301-X

S. Balasubramanian and L. Anand, Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homologous temperatures, Journal of the Mechanics and Physics of Solids, vol.50, issue.1, pp.101-126, 2002.
DOI : 10.1016/S0022-5096(01)00022-9

F. Barbe, L. Decker, D. Jeulin, and C. G. , Intergranular and intragranular behavior of polycrystalline aggregates. Part 1: F.E. model, International Journal of Plasticity, vol.17, issue.4, pp.513-536, 2001.
DOI : 10.1016/S0749-6419(00)00061-9

F. Barbe, S. Forest, and G. Cailletaud, 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

R. Becker, J. F. Butler, H. Hu, and L. L. , Analysis of an aluminum single crystal with unstable initial orientation (001) [110] in channel die compression, Metallurgical Transactions A, vol.30, issue.1, pp.45-58, 1991.
DOI : 10.1016/0001-6160(82)90005-0

J. Besson, R. Le-riche, R. Foerch, and C. G. , Object-Oriented Programming Applied to the Finite Element Method Part II. Application to Material Behaviors, Revue Europ??enne des ??l??ments Finis, vol.62, issue.1, pp.567-588, 1998.
DOI : 10.1093/comjnl/7.4.308

W. G. Burgers and J. L. Snoek, Lattice distortion and coercive force in single crystals of nickel-iron-aluminium, Physica, vol.2, issue.1-12, pp.1064-1074, 1935.
DOI : 10.1016/S0031-8914(35)90194-X

J. F. Butler and H. Hu, Channel die compression of aluminum single-crystals. Materials science and engineering a-structural materials properties microstructure and processing, pp.29-33, 1989.

K. S. Cheong, E. P. Busso, and A. A. , 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

C. Crussard, F. Aubertin, B. Faoul, and G. Wyon, Polygonization in strongly deformed metals, Progress in Metal Physics, pp.193-202, 1950.
DOI : 10.1016/0502-8205(50)90010-4

J. Driver and B. Chenal, ´ Ecrouissage d'alliages d'aluminium, 2000.

J. H. Driver, D. J. Jensen, and N. Hansen, Large strain deformation structures in aluminium crystals with rolling texture orientations, Acta Metallurgica et Materialia, vol.42, issue.9, pp.3105-3114, 1994.
DOI : 10.1016/0956-7151(94)90408-1

F. Feyel, Application du calcul parall'ele aux mod'eles 'a grand nombre de variables internes, Thèse de Doctorat, 1998.

P. L. George, Improvements on Delaunay-based three-dimensional automatic mesh generator. Finite elements in analysis and design, pp.297-317, 1997.

A. Godfrey, D. J. Jensen, and N. Hansen, Slip pattern, microstructure and local crystallography in an aluminium single crystal of brass orientation {110}???112???, Acta Materialia, vol.46, issue.3, pp.823-833, 1998.
DOI : 10.1016/S1359-6454(97)00315-7

A. Godfrey, D. J. Jensen, and N. Hansen, Slip pattern, microstructure and local crystallography in an aluminium single crystal of copper orientation {112}???111???, Acta Materialia, vol.46, issue.3, pp.835-848, 1998.
DOI : 10.1016/S1359-6454(97)00316-9

H. Hammelrath, J. F. Bulter, H. Hu, and K. Lucke, An ODF Study of the Deformation and Recrystallization Textures of Rolled and Channel-die Compressed High Purity Copper, 9th international conf. on textures of materials (ICOTOM 9), pp.629-634, 1990.
DOI : 10.1155/TSM.13.165

N. Hansen, The effect of grain size and strain on the tensile flow stress of aluminium at room temperature, Acta Metallurgica, vol.25, issue.8, pp.863-869, 1977.
DOI : 10.1016/0001-6160(77)90171-7

N. Hansen and X. Huang, Microstructure and flow stress of polycrystals and single crystals, Acta Materialia, vol.46, issue.5, pp.1827-1836, 1998.
DOI : 10.1016/S1359-6454(97)00365-0

W. F. Hosford, R. L. Fleischer, and W. A. Backofen, Tensile deformation of aluminum single crystals at low temperatures, Acta Metallurgica, vol.8, issue.3, pp.187-199, 1971.
DOI : 10.1016/0001-6160(60)90127-9

X. Huang and N. Hansen, Grain orientation dependence of microstructure in aluminium deformed in tension, Scripta Materialia, vol.37, issue.1, pp.1-7, 1997.
DOI : 10.1016/S1359-6462(97)00072-9

D. A. Hughes, Microstructure evolution, slip patterns and flow stress, Materials Science and Engineering: A, vol.319, issue.321, pp.46-54, 2001.
DOI : 10.1016/S0921-5093(01)01028-0

D. A. Hughes and N. Hansen, High angle boundaries formed by grain subdivision mechanisms, Acta Materialia, vol.45, issue.9, pp.3871-3886, 1997.
DOI : 10.1016/S1359-6454(97)00027-X

D. A. Hughes and N. Hansen, Microstructure and strength of nickel at large strains, Acta Materialia, vol.48, issue.11, pp.2985-3004, 2000.
DOI : 10.1016/S1359-6454(00)00082-3

P. J. Hurley, P. S. Bate, and F. J. Humphreys, An objective study of substructural boundary alignment in aluminium, Acta Materialia, vol.51, issue.16, pp.4737-4750, 2003.
DOI : 10.1016/S1359-6454(03)00277-5

P. J. Hurley and F. J. Humphreys, The application of EBSD to the study of substructural development in a cold rolled single-phase aluminium alloy, DEFORMATION BEHAVIOUR OF AL POLYCRYSTALS, pp.1087-1102, 2003.
DOI : 10.1016/S1359-6454(02)00513-X

T. Kanit, S. Forest, I. Galliet, V. Mounoury, and J. D. , 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

P. Laug and H. Borouchaki, Interpolating and meshing 3D surface grids, 3rd Symposium on Trends in Unstructured Mesh Generation, pp.209-225, 2001.
DOI : 10.1002/nme.770

H. Liang and F. P. Dunne, GND accumulation in bi-crystal deformation: Crystal plasticity analysis and comparison with experiments, International Journal of Mechanical Sciences, vol.51, issue.4, pp.326-333, 2009.
DOI : 10.1016/j.ijmecsci.2009.03.005

Q. Liu, D. J. Jensen, and N. Hansen, Effect of grain orientation on deformation structure in cold-rolled polycrystalline aluminium, Acta Materialia, vol.46, issue.16, pp.5819-5838, 1998.
DOI : 10.1016/S1359-6454(98)00229-8

J. K. Mackenzie, The distribution of rotation axes in a random aggregate of cubic crystals, Acta Metallurgica, vol.12, issue.2, pp.223-225, 1964.
DOI : 10.1016/0001-6160(64)90191-9

C. Maurice, J. H. Driver, and L. S. Toth, Modelling High Temperature Rolling Textures of FCC Metals, Textures and Microstructures, vol.19, issue.4, pp.211-227, 1992.
DOI : 10.1155/TSM.19.211

M. B. Bever, D. L. Holt, and T. A. , The stored energy of cold work, Progress in Materials Science, vol.17, pp.235-274, 1973.
DOI : 10.1016/0079-6425(73)90001-7

H. Biermann, T. Ungar, T. Pfannenmuller, G. Hoffmann, A. Borbely et al., Local variations of lattice parameter and long-range internal stresses during cyclic deformation of polycrystalline copper, Acta Metallurgica et Materialia, vol.41, issue.9, pp.2743-2753, 1993.
DOI : 10.1016/0956-7151(93)90143-G

A. Borbely, J. H. Driver, and T. Ungar, An X-ray method for the determination of stored energies in texture components of deformed metals; application to cold worked ultra high purity iron, Acta Materialia, vol.48, issue.8, pp.2005-2016, 2000.
DOI : 10.1016/S1359-6454(99)00457-7

URL : https://hal.archives-ouvertes.fr/hal-00004728

W. S. Farren and G. I. Taylor, The Heat Developed during Plastic Extension of Metals, Proc. Roy. Soc. London, pp.422-451, 1937.
DOI : 10.1098/rspa.1925.0034

J. Hodowany, G. Ravichandran, A. J. Rosakis, and R. P. , Partition of plastic work into heat and stored energy in metals, Experimental Mechanics, vol.46, issue.2, pp.113-123, 2000.
DOI : 10.1007/BF02325036

F. J. Humphreys and M. Hatherly, Recrystallization and Related Annealing Phenomena, 2004.

G. Mohamed and B. Bacroix, Role of stored energy in static recrystallization of cold rolled copper single and multicrystals, Acta Materialia, vol.48, issue.13, pp.3295-3302, 2000.
DOI : 10.1016/S1359-6454(00)00155-5

N. Rajmohan and J. A. Szpunar, Stored energy in can body aluminium alloy after cold rolling and stress relieving, Materials Science and Technology, vol.15, pp.1259-1265, 1999.

F. Scholz, J. H. Driver, and E. Woldt, The stored energy of cold rolled ultra high purity iron, Scripta Materialia, vol.40, issue.8, pp.949-954, 1999.
DOI : 10.1016/S1359-6462(99)00047-0

M. Bernacki, Y. Chastel, T. Coupez, and L. R. , Level set framework for the numerical modelling of primary recrystallization in polycrystalline materials, Scripta Materialia, vol.58, issue.12, pp.1129-1132, 2008.
DOI : 10.1016/j.scriptamat.2008.02.016

URL : https://hal.archives-ouvertes.fr/hal-00509731

J. M. Burgers, Physics. ??? Some considerations on the fields of stress connected with dislocations in a regular crystal lattice. I, Proceedings of the Koninklijke Nederlandse Akad. Wetenschappen, pp.293-325, 1939.
DOI : 10.1007/978-94-011-0195-0_11

J. W. Cahn and J. E. Hilliard, On the equilibrium segregation at a grain boundary, Acta Metallurgica, vol.7, issue.3, pp.219-221, 1959.
DOI : 10.1016/0001-6160(59)90079-3

H. M. Chan and F. J. Humphreys, The recrystallisation of aluminium-silicon alloys containing a bimodal particle distribution, Acta Metallurgica, vol.32, issue.2, pp.235-243, 1984.
DOI : 10.1016/0001-6160(84)90052-X

L. Q. Chen and D. A. Fan, Computer Simulation Model for Coupled Grain Growth and Ostwald Ripening-Application to Al2O3-ZrO2 Two-Phase Systems, Journal of the American Ceramic Society, vol.175, issue.5, pp.1163-1168, 1996.
DOI : 10.1103/PhysRevA.45.7424

L. Q. Chen and Y. Z. Wang, The continuum field approach to modeling microstructural evolution, JOM, vol.79, issue.12, pp.13-18, 1996.
DOI : 10.1007/BF03223259

E. Fried and M. E. Gurtin, A phase-field theory for solidification based on a general anisotropic sharp-interface theory with interfacial energy and entropy, Physica D: Nonlinear Phenomena, vol.91, issue.1-2, pp.143-181, 1996.
DOI : 10.1016/0167-2789(95)00121-2

J. Geiger, A. Roosz, and P. Barkoczy, Simulation of grain coarsening in two dimensions by cellular-automaton, Acta Materialia, vol.49, issue.4, pp.623-629, 2001.
DOI : 10.1016/S1359-6454(00)00352-9

S. P. Gill and A. C. Cocks, A variational approach to two dimensional grain growth???II. Numerical results, Acta Materialia, vol.44, issue.12, pp.4777-4789, 1996.
DOI : 10.1016/S1359-6454(96)00122-X

G. Gottstein and R. Sebald, Modelling of recrystallization textures, Journal of Materials Processing Technology, vol.117, issue.3, pp.282-287, 2001.
DOI : 10.1016/S0924-0136(01)00781-6

G. Gottstein and L. S. Shvindlerman, On the orientation dependence of grain boundary migration, Scripta Metallurgica et Materialia, vol.27, issue.11, pp.1515-1520, 1992.
DOI : 10.1016/0956-716X(92)90137-4

G. Gottstein and L. S. Shvindlerman, Grain boundary migration in metals, thermodynamics, kinetics, applications, 1999.

M. E. Gurtin and M. T. Lusk, Sharp-interface and phase-field theories of recrystallization in the plane, Physica D: Nonlinear Phenomena, vol.130, issue.1-2, pp.133-154, 1999.
DOI : 10.1016/S0167-2789(98)00323-6

G. C. Hasson and C. Goux, Interfacial energies of tilt boundaries in aluminium. Experimental and theoretical determination, Scripta Metallurgica, vol.5, issue.10, pp.889-894, 1971.
DOI : 10.1016/0036-9748(71)90064-0

C. Herring, Some Theorems on the Free Energies of Crystal Surfaces, Physical Review, vol.82, issue.1, pp.87-93, 1951.
DOI : 10.1103/PhysRev.82.87

Y. Huang and F. J. Humphreys, Measurements of grain boundary mobility during recrystallization of a single-phase aluminium alloy, Acta Materialia, vol.47, issue.7, pp.2259-2268, 1999.
DOI : 10.1016/S1359-6454(99)00062-2

F. J. Humphreys and M. Hatherly, Recrystallization and Related Annealing Phenomena, 2004.

P. J. Hurley and F. J. Humphreys, The application of EBSD to the study of substructural development in a cold rolled single-phase aluminium alloy, Acta Materialia, vol.51, issue.4, pp.1087-1102, 2003.
DOI : 10.1016/S1359-6454(02)00513-X

A. G. Khachaturyan, Long-range order parameter in field model of solidification. Philosophical magazine a-physics of condensed matter structure defects and mechanical properties, pp.3-14, 1996.

R. Kobayashi, J. A. Warren, and C. W. , A continuum model of grain boundaries, Physica D: Nonlinear Phenomena, vol.140, issue.1-2, pp.141-150, 2000.
DOI : 10.1016/S0167-2789(00)00023-3

N. Ma, A. Kazaryan, D. Dregia, and W. Y. , Computer simulation of texture evolution during grain growth: effect of boundary properties and initial microstructure, Acta Materialia, vol.52, issue.13, 2004.
DOI : 10.1016/j.actamat.2004.05.001

V. Marx, F. R. Reher, and G. Gottstein, Simulation of primary recrystallization using a modified three-dimensional cellular automaton, Acta Materialia, vol.47, issue.4, pp.1219-1230, 1999.
DOI : 10.1016/S1359-6454(98)00421-2

N. Moelans, F. Wendler, and N. B. , Comparative study of two phase-field models for grain growth, Computational Materials Science, vol.46, issue.2, pp.479-490, 2009.
DOI : 10.1016/j.commatsci.2009.03.037

D. A. Molodov, U. Czubayko, G. Gottstein, and L. S. Shvindlerman, Mobility of ???111??? tilt grain boundaries in the vicinity of the special misorientation ???=7 in bicrystals of pure aluminium, Scripta Metallurgica et Materialia, vol.32, issue.4, pp.529-534, 1995.
DOI : 10.1016/0956-716X(95)90832-5

D. A. Molodov, J. Swiderski, G. Gottstein, W. Lojkowski, and L. S. Shvindlerman, Effect of pressure on grain-boundary migration in aluminum bicrystals, 1994.

L. E. Murr, Interfacial phenomena in metals and alloys, 1975.

B. Nestler and A. A. Wheeler, Anisotropic multi-phase-field model: Interfaces and junctions, Physical Review E, vol.57, issue.3, pp.2602-2609, 1998.
DOI : 10.1103/PhysRevE.57.2602

URL : http://digbib.ubka.uni-karlsruhe.de/volltexte/documents/1367786

S. Osher and J. A. Sethian, 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

A. D. Rollett, M. J. Luton, and S. D. , Microstructural simulation of dynamic recrystallization, Acta Metallurgica et Materialia, vol.40, issue.1, pp.43-55, 1992.
DOI : 10.1016/0956-7151(92)90198-N

B. Serre, Simulation numérique 3D de la croissance de grains par la méthode deséléments deséléments finis, Thèse de Doctorat, 2007.

W. Shockley and W. T. Read, Quantitative Predictions from Dislocation Models of Crystal Grain Boundaries, Physical Review, vol.75, issue.4, p.692, 1949.
DOI : 10.1103/PhysRev.75.692

A. Soares, A. C. Ferro, and F. M. , Computer simulation of grain growth in a bidimensional polycrystal, Scripta Metallurgica, vol.19, issue.12, pp.1491-1496, 1985.
DOI : 10.1016/0036-9748(85)90157-7

D. J. Srolovitz, Grain growth phenomena in films: A Monte Carlo approach, Journal of Vacuum Science & Technology A: Vacuum, Surfaces, and Films, vol.4, issue.6, pp.2925-2931, 1986.
DOI : 10.1116/1.573662

I. Steinbach, F. Pezzolla, B. Nestler, M. Seesselberg, R. Prieler et al., A phase field concept for multiphase systems, Physica D: Nonlinear Phenomena, vol.94, issue.3, pp.135-147, 1996.
DOI : 10.1016/0167-2789(95)00298-7

Y. Suwa, Y. Saito, and H. Onodera, Phase field simulation of stored energy driven interface migration at a recrystallization front, Materials Science and Engineering: A, vol.457, issue.1-2, pp.132-138, 2007.
DOI : 10.1016/j.msea.2007.01.091

T. Takaki, Y. Hisakuni, T. Hirouchi, A. Yamanaka, and Y. Tomita, Multi-phase-field simulations for dynamic recrystallization, Computational Materials Science, vol.45, issue.4, pp.881-888, 2009.
DOI : 10.1016/j.commatsci.2008.12.009

P. Tavernier and J. A. Szpunar, A Monte-Carlo simulation applied to the modelling of nucleation of texture, Acta Metallurgica et Materialia, vol.39, issue.4, pp.557-567, 1991.
DOI : 10.1016/0956-7151(91)90124-J

R. L. Ubachs, P. J. Schreurs, and G. M. , Phase field dependent viscoplastic behaviour of solder alloys, International Journal of Solids and Structures, vol.42, issue.9-10, pp.2533-2558, 2005.
DOI : 10.1016/j.ijsolstr.2004.10.008

C. Yang, A. D. Rollet, and W. W. Mullins, Measuring relative grain boundary energies and mobilities in an aluminum foil from triple junction geometry, Scripta Materialia, vol.44, issue.12, pp.2735-2740, 2001.
DOI : 10.1016/S1359-6462(01)00960-5

G. Boundary and M. , 139 VI.2.1.1 Misorientation Dependency, Temperature Effect, p.143

J. E. Bailey and P. B. Hirsch, The Recrystallization Process in Some Polycrystalline Metals, Proc. Roy. Soc. London, pp.11-30, 1962.
DOI : 10.1098/rspa.1962.0080

P. A. Beck and P. R. Sperry, Strain Induced Grain Boundary Migration in High Purity Aluminum, Journal of Applied Physics, vol.21, issue.2, pp.150-152, 1950.
DOI : 10.1063/1.1699614

J. E. Burke and D. Turnbull, Recrystallization and grain growth, Progress in Metal Physics, pp.220-292, 1952.
DOI : 10.1016/0502-8205(52)90009-9

P. Gordon and T. A. El-bassyouni, The effect of purity on grain growth in aluminum, Transactions of the Metallurgical Soc. AIME, vol.223, pp.391-397, 1965.

G. Gottstein, D. A. Molodov, L. S. Shvindlerman, D. J. Srolovitz, and M. Winning, Grain boundary migration: misorientation dependence, Current Opinion in Solid State and Materials Science, vol.5, issue.1, pp.9-14, 2001.
DOI : 10.1016/S1359-0286(00)00030-9

G. Gottstein and R. Sebald, Modelling of recrystallization textures, Journal of Materials Processing Technology, vol.117, issue.3, pp.282-287, 2001.
DOI : 10.1016/S0924-0136(01)00781-6

C. Herring, Some Theorems on the Free Energies of Crystal Surfaces, Physical Review, vol.82, issue.1, pp.87-93, 1951.
DOI : 10.1103/PhysRev.82.87

Y. Huang and F. J. Humphreys, Measurements of grain boundary mobility during recrystallization of a single-phase aluminium alloy, Acta Materialia, vol.47, issue.7, pp.2259-2268, 1999.
DOI : 10.1016/S1359-6454(99)00062-2

F. J. Humphreys and M. Hatherly, Recrystallization and Related Annealing Phenomena, 2004.

J. K. Mackenzie, The distribution of rotation axes in a random aggregate of cubic crystals, Acta Metallurgica, vol.12, issue.2, pp.223-225, 1964.
DOI : 10.1016/0001-6160(64)90191-9

D. Mattissen, D. A. Molodov, L. S. Shvindlerman, and G. Gottstein, Drag effect of triple junctions on grain boundary and grain growth kinetics in aluminium, Acta Materialia, vol.53, issue.7, pp.2049-2057, 2005.
DOI : 10.1016/j.actamat.2005.01.016

W. W. Mullins, Two???Dimensional Motion of Idealized Grain Boundaries, Journal of Applied Physics, vol.27, issue.8, p.900, 1956.
DOI : 10.1063/1.1722511

C. Yang, A. D. Rollet, and W. W. Mullins, Measuring relative grain boundary energies and mobilities in an aluminum foil from triple junction geometry, Scripta Materialia, vol.44, issue.12, pp.2735-2740, 2001.
DOI : 10.1016/S1359-6462(01)00960-5

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