I. [. Armstrong, R. M. Codd, N. J. Douthwaite, and . Petch, The plastic deformation of polycrystalline aggregates, Philosophical Magazine, vol.62, issue.73, p.45, 1962.
DOI : 10.1016/0001-6160(58)90117-2

A. Asaro and A. Needleman, Overview no. 42 Texture development and strain hardening in rate dependent polycrystals, Acta Metallurgica, vol.33, issue.6, pp.923-953, 1985.
DOI : 10.1016/0001-6160(85)90188-9

M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, American Journal of Physics, vol.34, issue.2, 1970.
DOI : 10.1119/1.1972842

]. R. Asa83 and . Asaro, Crystal plasticity, ASME J. Appl. Mech, vol.50, pp.921-934, 1983.

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

]. C. Bar53 and . Barret, An abnormal after-effect in metals, Acta Metallurgica, vol.1, issue.1, 1953.

]. F. Bar00 and . Barbe, Etude numérique de la plasticité dagrégats polycristallins, 2000.

O. Bouaziz and Y. Br{-'echet, Physical relationship between mean-field micro-mechanical approach and Orowan looping in particle-strengthened materials, Scripta Materialia, vol.60, issue.6, pp.366-368, 2009.
DOI : 10.1016/j.scriptamat.2008.11.002

URL : https://hal.archives-ouvertes.fr/hal-00437168

M. Berveiller, N. Bouaouine, N. Fakri, and P. Lipinski, On the variation of the wire texture with stacking fault energy in fcc metals and alloys, Textures and Microstructures, vol.9, pp.351-379, 1988.

C. Y. Barlow, B. Bay, and N. Hansen, A comparative inverstigation of surface relief structure and dislocation microstructure in cold-rolled aluminium, Philosophical Magazine A, vol.51, pp.253-275, 1985.

M. [. Berbenni, T. Berveiller, and . Richeton, Intra-granular plastic slip heterogeneities: Discrete vs. Mean Field approaches, International Journal of Solids and Structures, vol.45, issue.14-15, pp.4147-4172, 2008.
DOI : 10.1016/j.ijsolstr.2008.02.028

URL : https://doi.org/10.1016/j.ijsolstr.2008.02.028

O. [. Brenner, L. Castelnau, and . Badea, Mechanical field fluctuations in polycrystals estimated by homogenization techniques, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.460, issue.2052, pp.3589-3612, 2004.
DOI : 10.1098/rspa.2004.1278

M. Berveiller, Thèse d'etat : Contribution à l'étude du comportement plastique et des textures de déformation des polycristaux métallique. Sciences et techniques de l'armement, 1980.

]. S. Ber02 and . Berbenni, Elastoviscoplasticité des aciers polycristallins : Modélisation micromécanique et physique : Applications au comportement dynamique et à leffet Bake-Hardening, 2002.

S. Berbenni, V. Favier, and M. Berveiller, Impact of the grain size distribution on the yield stress of heterogeneous materials, International Journal of Plasticity, vol.23, issue.1, pp.114-142, 2007.
DOI : 10.1016/j.ijplas.2006.03.004

URL : https://hal.archives-ouvertes.fr/hal-00128377

. Bfg-+-09-]-b, C. Beausir, N. P. Fressengeas, L. S. Gurao, S. Toth et al., Spacial correlation in grain misorientation distribution, Acta Materialia, 2009.

V. [. Berbenni, X. Favier, M. Lemoine, ]. W. Berveillercawb06, A. Cai et al., Micromechanical modeling of the elastic-viscoplastic behavior of polycrystalline steels A non-singular theory of dislocations, Journal of the Mechanics and Physics of Solids, vol.54, pp.561-587, 2006.

C. E. Carlton and P. J. Ferreira, What is behind the inverse hallpetch effect in nanocrystalline materials ?, Acta Materialia, vol.55, p.37493756, 2007.

C. Coupeau and J. Grilhe, Quantitative analysis of surface effects of plastic deformation, Materials Science and Engineering: A, vol.271, issue.1-2, pp.242-250, 1999.
DOI : 10.1016/S0921-5093(99)00447-5

C. Coupeau, Slip line analysis in Ni3Al by atomic force microscopy, Scripta Materialia, vol.41, issue.9, pp.945-950, 1999.
DOI : 10.1016/S1359-6462(99)00244-4

]. W. Das58 and . Dash, Generation of prismatic dislocation loops in silicon crystals, Physical Review Letter, vol.11, pp.400-402, 1958.

A. Deschamps and Y. Brechet, Influence of predeformation and ageing of an alznmg alloyii. modeling of precipitation kinetics and yield stress

]. R. Dew60 and . Dewit, The continuum theory of stationary dislocations. Solid State Physics, pp.269-292, 1960.

A. Bied, Etude expérimentale et modélisation du comportement des roches granulaires : écrouissage, radoucissement et rupture en mode localisé, 2000.

A. Eberhardt, Mécanique physique, Mécanique physique. Cours du Master recherche MMSP de l, 2006.

S. [. Espinosa, M. Berbenni, K. W. Panico, and . Schwarz, An interpretation of size-scale plasticity in geometrically confined systems, Proceedings of the National Academy of Sciences, vol.795, issue.5641, pp.10216933-16938, 2005.
DOI : 10.1016/S1359-6454(98)00153-0

URL : https://hal.archives-ouvertes.fr/hal-00128374

G. [. English and . Chin, On the variation of wire texture with stacking fault energy in f.c.c. metals and alloys, Acta Metallurgica, vol.13, issue.9, pp.1013-1016, 1965.
DOI : 10.1016/0001-6160(65)90010-6

U. Essmann and H. Mughrabi, Annihilation of dislocations during tensile tests and cyclic deformation and limit of dislocations densities, Philosophical Magazine, vol.40, p.731756, 1979.

B. [. Eason, I. N. Noble, and . Sneddon, On Certain Integrals of Lipschitz-Hankel Type Involving Products of Bessel Functions, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.247, issue.935, pp.529-551, 1955.
DOI : 10.1098/rsta.1955.0005

P. Erieau 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, p.1763, 2004.
DOI : 10.1016/j.ijplas.2003.11.014

URL : https://hal.archives-ouvertes.fr/hal-00019025

U. Essmann, M. Rapp, and M. Wilkens, Die versetzungsanordnung in plastisch verformten kupfer-vielkristallen, Acta Metallurgica, vol.16, issue.10, pp.1275-1287, 1968.
DOI : 10.1016/0001-6160(68)90008-4

J. D. Eshelby, The determination of the elastic field of an ellipsoidal inclusion and related problems, Proceedings of the Royal Society, p.376, 1957.

J. D. Eshelby, The Elastic Field Outside an Ellipsoidal Inclusion, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.252, issue.1271, pp.561-569, 1959.
DOI : 10.1098/rspa.1959.0173

P. Franciosi and S. Berbenni, Heterogeneous crystal and poly-crystal plasticity modeling from a transformation field analysis within a regularized Schmid law, Journal of the Mechanics and Physics of Solids, vol.55, issue.11, pp.2265-2299, 2007.
DOI : 10.1016/j.jmps.2007.04.012

M. Fivel and S. Forest, Plasticité cristalline et transition d'échelle :cas du monocristal, p.4016, 2004.

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

J. C. Fischer, E. W. Hart, and R. H. Pry, Theory of Slip-Band Formation, Physical Review, vol.80, issue.6, p.958, 1952.
DOI : 10.1038/163961a0

F. [. Fréchard, C. Martin, J. Clément, and . Cousty, AFM and EBSD combined studies of plastic deformation in a duplex stainless steel, Materials Science and Engineering: A, vol.418, issue.1-2, pp.312-319, 2006.
DOI : 10.1016/j.msea.2005.11.047

]. S. For98 and . Forest, Modeling slip, kink and shear banding in classical and generalized single crystal plasticity, Acta Mater, vol.46, p.3265, 1998.

]. S. For06 and . Forest, Milieux continus généralisés et matériaux hétérogènes, 2006.

F. C. Franck and W. T. Read, Multiplication Processes for Slow Moving Dislocations, Physical Review, vol.5, issue.4, p.79, 1950.
DOI : 10.1007/BF01329831

P. Franciosi, Etude théorique et expérimentale du comportement élastoplastique des monocristaux métalliques se déformant par glissement : modélisation pour un chargement complexe quasi-statique, 1984.

]. P. Fra85 and . Franciosi, The concepts of latent hardening and strain hardening, Acta. Metall, vol.33, pp.1601-1612, 1985.

J. V. Fernandez and J. H. Schmitt, Dislocation microstructures in steel during deep drawing, Philosophical Magazine A, vol.10, issue.6, pp.841-870, 1983.
DOI : 10.1007/BF02661564

J. R. Greer, W. C. Oliver, and W. D. Nix, Size dependence of mechanical properties of gold at the micron scale in the absence of strain, Acta Materiala, vol.53, p.18211830, 2005.

]. D. Gor07 and . Goran, Hétérogénéité de la déformation plastique des monocristaux de nickel déformés à froid par ECAE, 2007.

I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series and Products, 1965.

P. Haasen, Physical metallurgy, 1996.

]. E. Hal51 and . Hall, The deformation and ageing of mild steel, Proceedings of the Physical Society, pp.747-753, 1951.

]. N. Han85 and . Hansen, Polycristalline strengthening. Metallurgical transactionsA, p.2167, 1985.

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

URL : http://orbit.dtu.dk/en/publications/hallpetch-relation-and-boundary-strengthening(aab7aa4d-d17e-4005-90eb-f516aae8672c).html

]. S. Har91 and . Harren, The finite deformation of rate-dependent polycrystals -i. a self-consistent framework, Journal of Mechanics and Physics of Solids, vol.39, pp.345-360, 1991.

M. Henning, Größeneffekte auf die mechanischen Eigenschaften -Experiment und Simulation, 2007.

]. R. Hil63 and . Hill, Elastic properties of reinforced solids : some theoretical principles, Journal of Mechanics and Physics of Solids, vol.11, pp.357-372, 1963.

]. R. Hil65 and . Hill, Continuum micro-mechanics of elastoplastic polycrystals, Journal of the Mechanics and Physics of Solids, vol.13, p.89, 1965.

J. P. Hirth and J. Lothe, Theory of dislocations, 1982.

J. [. Hill and . Rice, Constitutive analysis of elastic-plastic crystals at arbitrary strain, Journal of the Mechanics and Physics of Solids, vol.20, issue.6, pp.401-413, 1972.
DOI : 10.1016/0022-5096(72)90017-8

F. J. Humphreys, Review grain and subgrain characterisation by electron backscatter diffraction, Journal of Materials Science, vol.36, issue.16, pp.3833-3854, 2001.
DOI : 10.1023/A:1017973432592

J. W. Hutchinson, Bounds and Self-Consistent Estimates for Creep of Polycrystalline Materials, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.348, issue.1652, p.89, 1976.
DOI : 10.1098/rspa.1976.0027

M. Henning and H. Vehoff, Local mechanical behavior and slip band formation within grains of thin sheets, Acta Materialia, vol.53, issue.5, p.12851292, 2005.
DOI : 10.1016/j.actamat.2004.10.052

T. Iwakuma and S. Nemat-nasser, Finite elastic deformation of polycrystalline metals and composites, pp.3-51, 1983.

]. B. Jao65 and . Jaoul, Etude de la plasticité et application aux métaux. Dunod, 1965.

D. Jensen and N. Hansen, Flow stress anisotropy in aluminium, Acta Metallurgica et Materialia, vol.38, issue.8, pp.1369-1380, 1990.
DOI : 10.1016/0956-7151(90)90105-P

J. W. Ju and L. Z. Sun, A Novel Formulation for the Exterior-Point Eshelby's Tensor of an Ellipsoidal Inclusion, Journal of Applied Mechanics, vol.44, issue.2, pp.570-574, 1999.
DOI : 10.1115/1.3424141

U. F. Kocks, Laws for Work-Hardening and Low-Temperature Creep, Journal of Engineering Materials and Technology, vol.98, issue.1, p.7685, 1976.
DOI : 10.1115/1.3443340

A. M. Kosevich, Crystal dislocations and the theory of elasticity (chap. 1), In Dislocations in Solids F.R.N. Nabarro, pp.33-141, 1979.

E. Kröner, Kontinuumstheorie der Versetzungen und Eigenspannungen, 1958.
DOI : 10.1007/978-3-642-94719-3

]. E. Krö61 and . Kröner, Zur plastischen verformung des vielkristalls, Acta Metallurgica, vol.9, pp.155-161, 1961.

]. E. Krö81 and . Kröner, Continuum theory of defects, Physics of defects Les Houches, pp.215-315, 1981.

]. E. Krö86 and . Kröner, Variational treatment of the elastic constants of disordered materials In Modelling small deformations of polycrystals, 1986.

E. Kröner, Modified Green Functions in the Theory of Heterogeneous and/or Anisotropic Linearly Elastic Media
DOI : 10.1007/978-1-4613-8919-4_13

. A. Ksl-+-08-]-n, V. A. Koneva, D. V. Starenchenko, L. I. Lychagin, N. A. Trishkina et al., Formation of dislocation cell substructure in face-centred cubic metallic solid solutions, Materials Science and Engineering A, vol.483, pp.179-183, 2008.

G. Canova, M. Condat, B. Devincre, V. Pontikis, Y. Bréchet et al., Dislocation microstructures and plastic flow : a 3d simulation, Solid State Phenomena, vol.6, pp.455-472, 1992.

]. I. Kun81 and . Kunin, An algebra of tensor operators and its applications to elasticity, International Journal of Engineering Sciences, vol.19, pp.1551-1561, 1981.

]. I. Kun83 and . Kunin, Elastic Media with Microstructure II : Three Dimensionnal Models, 1983.

D. Kuhlmann-wilsdorf, Why do dislocations assemble into interfaces in epitaxy as well as in crystal plasticity? To minimize free energy, Metallurgical and Materials Transactions A, vol.80, issue.8, p.2519, 2002.
DOI : 10.5006/0010-9312-15.2.19

M. Kamaya, A. J. Wilkinson, and J. M. Titchmarsh, Measurement of plastic strain of polycrystalline material by electron backscatter diffraction, Nuclear Engineering and Design, vol.235, issue.6, pp.713-725, 2005.
DOI : 10.1016/j.nucengdes.2004.11.006

M. Kamaya, A. J. Wilkinson, and J. M. Titchmarsh, Measurement of plastic strain of polycrystalline material by electron backscatter diffraction, Nuclear Engineering and Design, vol.235, issue.6, pp.713-725, 2005.
DOI : 10.1016/j.nucengdes.2004.11.006

T. A. Khraishi and H. M. Zbib, Dislocation dynamics simulations of the interaction between a short rigid fiber and a glide circular dislocation pile-up, Computational Materials Science, vol.24, issue.3, pp.310-322, 2002.
DOI : 10.1016/S0927-0256(01)00253-1

]. L. Lan00 and . Langlois, Evolutions propres de la microstructure de dislocations et conséquences sur le comportement élastoplastique des métaux, 2000.

R. [. Lebensohn, O. Brenner, A. D. Castelnau, and . Rollett, Orientation image-based micromechanical modelling of subgrain texture evolution in polycrystalline copper, Acta Materialia, vol.56, issue.15, pp.3914-3926, 2008.
DOI : 10.1016/j.actamat.2008.04.016

P. Lipinski, M. Berveiller, E. Reubrez, and J. Morreale, Transition theories of elastic-plasticc deformation of metallic polycristals, Archive of Aplied Mechanics, vol.95, pp.291-311, 1995.

]. R. Leb01 and . Lebensohn, N-site modelling of a 3d viscoplastic polycrystal using fast fourier transform, Acta Materialia, vol.49, pp.2723-2737, 2001.

X. Lemoine, Analyse microm??canique de la formation des cellules de dislocations et cons??quences sur le comportement des aciers, Revue de M??tallurgie, vol.94, issue.9, 1995.
DOI : 10.1051/metal/199794091063

J. C. Li and G. C. Liu, Circular dislocation pile-ups, Philosophical Magazine, vol.59, issue.137, pp.1059-1063, 1967.
DOI : 10.1017/S0305004100026736

D. Lloyd, Particle reinforced aluminum and magnesium matrix composites, Int Mat Rev, vol.39, p.123, 1994.
DOI : 10.1179/095066094790150982

. E. Lly-+-06-]-l, B. C. Levine, W. Larson, M. E. Yang, J. Kassner et al., X-ray microbeam measurements of individual cell elastic strains in deformed single crystal copper, Nature Materials, vol.5, pp.619-622, 2006.

J. P. Lorrain, Critère de ductilité basé sur la perte d'ellipticité du module tangent élastoplastique déduit d'un modèle auto-cohérent, 2005.

P. Lours, Mécanique physique, Cours de sciences des matériaux. école des Mines d'Albi, 2005.

]. S. Mad57 and . Mader, Elektronenmikroskopische untersuchung der gleitlinienbildung auf kupfereinkristallen, Zeitschrift für Physik, pp.73-102, 1957.

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

H. Meckings and U. F. 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

T. Mutschele and R. Kirchheim, Hydrogen as a probe for the average thickness of a grain boundary, Scripta Metallurgica, vol.21, issue.8, p.11011104, 1989.
DOI : 10.1016/0036-9748(87)90258-4

H. Margolin and R. B. Longo, Slip band spacings in alpha titanium, Scripta Metallurgica, vol.13, issue.7, pp.561-564, 1979.
DOI : 10.1016/0036-9748(79)90108-X

H. Margolin and M. S. Stanescu, Polycrystalline strengthening, Acta Metallurgica, vol.23, issue.12, pp.1411-1418, 1975.
DOI : 10.1016/0001-6160(75)90150-9

H. Moulinec and P. Suquet, Comparison of FFT-based methods for computing the response of composites with highly contrasted mechanical properties, Physica B: Condensed Matter, vol.338, issue.1-4, pp.58-60, 2003.
DOI : 10.1016/S0921-4526(03)00459-9

W. A. Mcinteer, A. W. Thompson, and I. M. Bernstein, The effect of hydrogen on the slip character of nickel, Acta Metallurgica, vol.28, issue.7, pp.887-884, 1980.
DOI : 10.1016/0001-6160(80)90105-4

H. Mughrabi, Continuum models of distrecte systems, pp.241-257, 1982.

]. H. Mug88 and . Mugrabi, Dislocation clustering and long-range internal stresses in monotically and cyclically deformed metal crystals, Phys. Appl, vol.23, pp.367-379, 1988.

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

E. V. Nesterova, B. Bacroix, and C. Teodosiu, Microstructure and texture evolution under strain-path changes in low-carbon interstitial-free steel, Metallurgical and Materials Transactions A, vol.5, issue.10, pp.2527-2538, 2001.
DOI : 10.1098/rspa.1990.0103

. Nbw-+-10-]-n, S. Nicaise, F. Berbenni, M. Wagner, X. Berveiller et al., Coupled effects of grain size distributions and crystallographic textures on the plastic behaviour of if steels, International Journal of Plasticity, 2010.

D. [. Nan and . Clarke, The influence of particle size and particle fracture on the elastic/plastic deformation of metal matrix composites, Acta Materialia, vol.44, issue.9
DOI : 10.1016/1359-6454(96)00008-0

]. H. Neu83 and . Neuhäuser, Slip-line formation and collective dislocation motion. 6, 1983.

]. N. Nic09 and . Nicaise, Effet de longueur interne sur les proprietes effectives des polycristaux métalliques : Applications aux acier, 2009.

M. [. Nemat-nasser and . Obata, Rate-dependent finite elastoplastic deformation of polycrystals, Proceeding of Royal Society London A, vol.497, pp.343-375, 1986.

J. [. Nieh and . Wadsworth, Hall-petch relation in nanocrystalline solids, Scripta Metallurgica et Materialia, vol.25, issue.4, p.955, 1991.
DOI : 10.1016/0956-716X(91)90256-Z

J. F. 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

N. Ohno and D. Okumura, Higher-order stress and grain size effects due to self-energy of geometrically necessary dislocations, Journal of the Mechanics and Physics of Solids, vol.55, issue.9, p.18791898, 2007.
DOI : 10.1016/j.jmps.2007.02.007

M. Ortiz, E. A. Repetto, and L. Stainier, A theory of subgrain dislocation structures, Journal of the Mechanics and Physics of Solids, vol.48, issue.10, pp.2077-2114, 2000.
DOI : 10.1016/S0022-5096(99)00104-0

URL : https://hal.archives-ouvertes.fr/hal-01004955

A. Paquin, Modélisation micromécanique du comportement élastoviscoplastique des matériaux hétérogènes, 1998.

S. [. Perrin, H. Berbenni, M. Vehoff, and . Berveiller, Role of discrete intragranular slip on lattice rotations in polycrystalline Ni: Experimental and micromechanical studies, Acta Materialia, vol.58, issue.14, pp.4639-4649, 2010.
DOI : 10.1016/j.actamat.2010.04.033

G. Sachs, Zur ableitung einer flie, pp.734-736, 1928.
DOI : 10.1007/978-3-642-92045-5_12

M. [. Sabar, V. Berveiller, S. Favier, and . Berbenni, A new class of micro???macro models for elastic???viscoplastic heterogeneous materials, International Journal of Solids and Structures, vol.39, issue.12, pp.3257-3276, 2002.
DOI : 10.1016/S0020-7683(02)00256-1

URL : https://hal.archives-ouvertes.fr/hal-00128381

K. W. Schwarz, Simulation of dislocations on the mesoscopic scale. I. Methods and examples, Journal of Applied Physics, vol.87, issue.1, pp.108-119, 1999.
DOI : 10.1016/0038-1098(94)00894-9

R. Sedlacek and S. Forest, Non-Local Plasticity at Microscale: A Dislocation-Based and a Cosserat Model, physica status solidi (b), vol.7, issue.236, p.583, 2000.
DOI : 10.1088/0965-0393/7/5/314

M. N. Shiekhelsouk, V. Favier, K. Inal, and M. Cherkaoui, Modelling the behaviour of polycrystalline austenitic steel with twinning-induced plasticity effect, International Journal of Plasticity, vol.25, issue.1, pp.105-133, 2009.
DOI : 10.1016/j.ijplas.2007.11.004

URL : https://hal.archives-ouvertes.fr/emse-00429576

M. R. Staker and D. R. Holt, The dislocation cell size and dislocation density in copper deformed at temperatures between 25 and 700??C, Acta Metallurgica, vol.20, issue.4, p.569579, 1972.
DOI : 10.1016/0001-6160(72)90012-0

B. M. Schroeter and D. L. Mcdowell, Measurement of deformation fields in polycrystalline OFHC copper, International Journal of Plasticity, vol.19, issue.9, pp.1355-76, 2003.
DOI : 10.1016/S0749-6419(02)00040-2

R. [. Scheriau and . Pipan, Influence of grain size on orientation changes during plastic deformation, Materials Science and Engineering: A, vol.493, issue.1-2, pp.48-52, 2008.
DOI : 10.1016/j.msea.2007.08.092

S. Skjervold and N. Ryum, Characterization of local texture in a moderately deformed polycrystalline AlSi-alloy, Acta Metallurgica et Materialia, vol.43, issue.8, pp.3159-317, 1995.
DOI : 10.1016/0956-7151(95)00008-J

D. [. Serre, J. Salazar, and . Vogt, Atomic force microscopy investigation of surface relief in individual phases of deformed duplex stainless steel, Materials Science and Engineering: A, vol.492, issue.1-2, pp.428-433, 2008.
DOI : 10.1016/j.msea.2008.04.060

R. Sedlacek, C. Schwarz, and E. Werner, Modeling of size-dependent internal stresses in dislocation cell structures, Materials Science and Engineering: A, vol.474, issue.1-2, pp.323-327, 2008.
DOI : 10.1016/j.msea.2007.04.015

N. J. Salamon and G. G. Walter, Limits of Lipschitz-Hankel Integrals, IMA Journal of Applied Mathematics, vol.24, issue.3, pp.237-254, 1979.
DOI : 10.1093/imamat/24.3.237

]. G. Tay38 and . Taylor, Plastic strain in metals, J.Inst. Metals, vol.61, pp.307-324, 1938.

]. G. Tay08 and . Taylor, The mechanism of plastic deformation of crystals, Materials Science and Engineering A, vol.483, pp.179-183, 2008.

A. W. Thompson, M. I. Baskes, and W. F. Flanagan, The dependence of polycrystal work hardening on grain size, Acta Metallurgica, vol.21, issue.7, pp.1017-1027, 1973.
DOI : 10.1016/0001-6160(73)90158-2

S. [. Taupin, C. Berbenni, O. Fressengeas, and . Bouaziz, On particle size effects: An internal length mean field approach using field dislocation mechanics, Acta Materialia, vol.58, issue.16, pp.16-21, 2010.
DOI : 10.1016/j.actamat.2010.06.034

M. D. Uchic, D. M. Dimiduk, J. N. Florando, and W. D. Nix, Sample Dimensions Influence Strength and Crystal Plasticity, Science, vol.305, issue.5686, pp.986-989, 2004.
DOI : 10.1126/science.1098993

Y. [. Uetani, K. Nakagawa, H. Matsuda, S. Andada, and . Tada, Slip Behavior at the Early Stage of Plastic Deformation in a Polycrystalline Cu-30 mass%Zn Alloy., Journal of the Society of Materials Science, Japan, vol.43, issue.493, pp.1297-1303, 1994.
DOI : 10.2472/jsms.43.1297

M. Fivel, I. Groma, and M. Verdier, Mesoscopic scale simulation of dislocation dynamics in f.c.c. metals : principles and applications. Modelling and Simulation in, Materials Science Engineering, pp.755-770, 1998.

]. A. Vkk-+-97, Y. Vinogradov, K. Kaneko, S. Kitagawa, V. Hashimoto et al., Cyclic response of ultrafine-grained copper at constant plastic strain amplitude, Scripta Materialia, vol.36, pp.1345-1351, 1997.

C. A. Volkert and E. T. Lilleodden, Size effects in the deformation of sub-micron Au columns, Philosophical Magazine, vol.2, issue.33-35, p.55675579, 2006.
DOI : 10.1016/j.jmps.2005.07.005

URL : https://hal.archives-ouvertes.fr/hal-00513658

C. R. Weinberger and W. Cai, Computing image stress in an elastic cylinder, Journal of the Mechanics and Physics of Solids, vol.55, issue.10, pp.2027-2054, 2007.
DOI : 10.1016/j.jmps.2007.03.007

]. G. Wen81 and . Weng, Self-consistent determination of time-dependent behavior of metals, Journal of Applied Mechanics, vol.48, pp.41-46, 1981.

]. G. Wen83 and . Weng, A micromechanical theory of grain-size dependence in metal plasticity, Journal of the Mechanics and Physics of Solids, vol.31, pp.193-203, 1983.

B. C. Weng, J. Z. Larson, G. E. Tischler, J. D. Ice, W. Budai et al., Differential-aperture x-ray structural microscopy : a submicronresolution three-dimensional probe of local microstructure and strain, Micron, vol.35, pp.431-439, 2004.

J. A. Wert and C. T. Thorning, Grain subdivision in polycrystalline copper subject to tensile deformation, Materials Science and Technology, vol.72, issue.12, pp.1401-1406, 2005.
DOI : 10.1007/s11661-001-0167-x

K. Yamaguchi, The slip-bands produced when crystals of aluminum are stretched. Sci. Papers Institute of Physics, Chem. Research, vol.8, p.289, 1928.

H. Yang, A. Vehoff, M. Hohenwarter, R. Hafok, and . Pippan, Strain effects on the coarsening and softening of electrodeposited nanocrystalline Ni subjected to high pressure torsion, Scripta Materialia, vol.58, issue.9, pp.790-793, 2008.
DOI : 10.1016/j.scriptamat.2007.12.039

M. Zaiser, Scale invariance in plastic flow of crystalline solids Advances in Physics, pp.185-245, 2006.

A. Zaoui, Continuum Micromechanics: Survey, Journal of Engineering Mechanics, vol.128, issue.8, pp.808-816, 2002.
DOI : 10.1061/(ASCE)0733-9399(2002)128:8(808)

URL : https://hal.archives-ouvertes.fr/hal-00111366

S. Av and S. , et S gb sont respectivement l'espacement moyen entre bandes de glissement sur tout le grain, l'espacement moyen au centre des grains, et l'espacement moyen dans la région proche des joints de grain), p.22

M. Micrographie-obtenue-par, Réplique C-Pt) : bandes de glissement à la surface d'un poly-cristal de nickel déformé à taux de 5%, p.24

. Espacements, intérieurs" entre bandes de glissement dans des polycristaux de nickel pur chargé et non chargé en hydrogène, p.25