L. J. Anandar77-]-r, J. R. Asaro, and . Rice, Single-crystal elasto-viscoplasticity: Application to texture evolution in polycrystalline metals at large strains Strain localization in ductile single crystals, Computer Methods in Applied Mechanics and Engineering Journal of the Mechanics and Physics of Solids, vol.193, issue.25, pp.48-51, 1977.

H. [. Ahmed, Phase transformations during cooling in ??+?? titanium alloys, Materials Science and Engineering: A, vol.243, issue.1-2, pp.206-211, 1998.
DOI : 10.1016/S0921-5093(97)00802-2

]. R. Asa79, ASARO: Geometrical effects in the inhomogeneous deformation of ductile single crystals, Acta Metallurgica, vol.27, pp.445-453, 1979.

]. R. Asa83b, ASARO: Micromechanics of crystals and polycrystals, Advances in Applied Mechanics, pp.1-115, 1983.

A. [. Akhtar, Plastic deformation of zirconium single crystals, Acta Metallurgica, vol.19, issue.7, pp.655-663, 1971.
DOI : 10.1016/0001-6160(71)90019-8

]. H. Atk88 and . Atkinson, Theories of normal grain growth in pure single phase systems, Acta Metallurgica, vol.36, pp.469-491, 1988.

B. A. Belaykov, W. Gao, H. Miura, and T. , Strain-induced grain evolution in polycrystalline copper during warm deformation, Metallurgical and Materials Transactions A, vol.44, issue.12, pp.2957-2965, 1998.
DOI : 10.1007/s11661-998-0203-1

]. J. Bh51a and R. Bishop, HILL: A theory of the plastic distortion of a polycrystalline aggregate under combined stresses, Philosophical Magazine, vol.42, pp.414-427, 1951.

J. F. Bishop and R. Hill, CXXVIII. A theoretical derivation of the plastic properties of a polycrystalline face-centred metal, The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, vol.42, issue.334, pp.1298-1307, 1951.
DOI : 10.1098/rsta.1932.0009

F. [. Barberis and C. Montheillet, EVANGELISTA: Geometric dynamic recrystallization in alpha Zirconium at elevated temperatures CHAUVY: Variant selection in Zr alloys: How many variants generated from one beta grain, Materials Science Forum, pp.467-470, 2004.

]. M. Bro94 and . Bracato, Un modèle thermo-mécanique de polycristal pour l'étude des bandes de cisaillement, Thèse de doctorat, Ecole Nationale des Ponts et Chaussées, 1994.

S. [. Bieler, . A. Semiatin, T. Belaykov, H. Sakai, R. Miura et al., The origins of heterogeneous deformation during primary hot working of Ti???6Al???4V, International Journal of Plasticity, vol.18, issue.9, pp.1165-1189, 2000.
DOI : 10.1016/S0749-6419(01)00057-2

T. [. Belaykov, H. Sakai, and K. Miura, Grain refinement in copper under large strain deformation, Philosophical Magazine A, vol.6, issue.11, pp.2629-2643, 2001.
DOI : 10.1016/S1359-6454(96)00156-5

K. [. Belaykov, H. Tsuzaki, and T. Miura, Effect of initial microstructures on grain refinement in a stainless steel by large strain deformation, Acta Materialia, vol.51, issue.3, pp.847-861, 2003.
DOI : 10.1016/S1359-6454(02)00476-7

]. W. Bur34, BURGERS: On the process of transition of the cubic-body-centered modification into the hexagonal-close-packed modification of Zirconium, Physica I, vol.36, pp.561-586, 1934.

E. [. Charquet, ALHERITIERE: Influence of impurities and temperature on the microstructure of Zircaloy-2 and Zircaloy-4 after the beta to alpha phase transformation, Seventh International Symposium: Zirconium in Nuclear Industry, ASTM STP 939, p.284, 1987.

T. [. Crepin and D. Bretheau, Plastic deformation mechanisms of ?? treated zirconium, Acta Metallurgica et Materialia, vol.43, issue.10, pp.3709-3719, 1995.
DOI : 10.1016/0956-7151(95)90154-X
URL : https://hal.archives-ouvertes.fr/hal-00116690

P. [. Chauvy and F. Barberis, MONTHEILLET: Microstructure [Dal07] Y. DALI: Etude expérimentale de l'oxydation des alliages de Zirconium à haute pression de vapeur d'eau et modélisation des mécanismesEtude de l'évolution de texture pendant la recristallisation et la croissance de grains d'alliages de titane et de zirconium, Thèse de doctorat, Ecole Nationale Supérieure des Mines, Saint-Etienne Thèse de doctorat, 2004.

]. R. Doh97 and . Doherty, Recrystallization and texture, Progress in Material Science, vol.42, issue.1-4, pp.39-58, 1997.

E. [. Dupuy, . C. Rauch, S. Desrayaud, and J. Ringeval, Deformation paths related to equal channel angular extrusion, Materials Science and Engineering: A, vol.337, issue.1-2, pp.241-247, 2002.
DOI : 10.1016/S0921-5093(02)00027-8

M. [. Fundenberger and C. Philippe, ESLING: Mechanical twinning at high temperatures in some hexagonal alloys, Scripta Metallurgica and Materialia, pp.1215-1220, 1990.

C. [. Fischer and . Renken, Single-Crystal Elastic Moduli and the hcp ??? bcc Transformation in Ti, Zr, and Hf, Physical Review, vol.135, issue.2A, pp.482-494, 1964.
DOI : 10.1103/PhysRev.135.A482

A. [. Franciosi, Crystal hardening and the issue of uniqueness, International Journal of Plasticity, vol.7, issue.4, pp.295-311, 1991.
DOI : 10.1016/0749-6419(91)90037-Y

]. B. Gau09 and . Gaudout, Modélisation des évolutions microstructurales et étude de la lubrification par film solide lors du filage à chaud d'alliages de zirconium

]. F. Ger07 and . Gerspach, Mécanismes d'évolution de texture au cours du recuit d'alliages de zirconium et de titane, Thèse de doctorat, 2007.

. Gghc-+-02-]-n, E. Gey, M. Gautier, A. Humbert, J. L. Cerqueira et al., ARCHAMBAULT: Study of the ?/? phase transformation of Zy-4 in presence of applied stresses at heating: analysis of the inherited microstructures and textures, Journal of Nuclear Materials, vol.302, issue.2-3, pp.175-184, 2002.

M. [. Gey and . Humbert, Characterization of the variant selection occurring during the ???????????? phase transformations of a cold rolled titanium sheet, Acta Materialia, vol.50, issue.2, pp.277-287, 2002.
DOI : 10.1016/S1359-6454(01)00351-2

M. [. Gey, E. Humbert, and J. L. Gautier, Study of the ??????? variant selection for a zircaloy-4 rod heated to the ?? transus in presence or not of an axial tensile stress, Journal of Nuclear Materials, vol.328, issue.2-3, pp.137-145, 2004.
DOI : 10.1016/j.jnucmat.2004.03.003

M. [. Gey, M. J. Humbert, and Y. Philippe, Investigation of the ??- and ??- texture evolution of hot rolled Ti-64 products, Materials Science and Engineering: A, vol.219, issue.1-2, pp.80-88, 1996.
DOI : 10.1016/S0921-5093(96)10388-9

F. [. Gourdet, A model of continuous dynamic recrystallization, Acta Materialia, vol.51, issue.9, pp.2685-2699, 2003.
DOI : 10.1016/S1359-6454(03)00078-8

J. [. Hinton and . Beynon, Restoration Processes during Hot Deformation in the ??-ferrite and Austenite Dual Phase Region of AISI430 Ferritic Stainless Steel, ISIJ International, vol.47, issue.10, pp.1465-1474, 2007.
DOI : 10.2355/isijinternational.47.1465

M. [. Humphreys, HATHERLY: Recrystallization and Related Annealing Phenomena, 2004.

A. [. Hu, X. Huang, and . Wu, On the massive phase transformation regime in TiAl alloys: The alloying effect on massive/lamellar competition, Intermetallics, vol.15, issue.3, pp.327-332, 2007.
DOI : 10.1016/j.intermet.2006.07.007

]. R. Hil66 and . Hill, Generalized constitutive relations for incremental deformation of metal crystals by multislip, Journal of the Mechanics and Physics of Solids, vol.14, pp.95-102, 1966.

S. [. Hong, K. S. Kim, and . Lee, Effect of oxygen content on the beta-quenched microstructure of modified Zircaloy-4, Journal of Nuclear Materials, vol.265, issue.1-2, pp.108-119, 1999.
DOI : 10.1016/S0022-3115(98)00608-4

[. Standard, version 6.7, user's guide and theoretical manual, 1997.

]. R. Hol70 and . Holt, The beta to alpha phase transformation in Zircaloy-4, Journal of Nuclear Materials, vol.35, issue.3, pp.322-334, 1970.

]. J. Hut76 and . Hutchinson, Bounds and self consistent estimates for creep of polycrystalline materials HUANG: A user-material subroutine incorporating single crystal plasticity in the ABAQUS finite element program, Division of Applied Sciences report, pp.101-127, 1976.

A. [. Jominy, BOEGEHOLD: A hardenebility test for carburizing steels, ASM Transactions, vol.27, issue.12, pp.574-599, 1939.

C. [. Kalidindi and L. Bronkhorst, Crystallographic texture evolution in bulk deformation processing of FCC metals, Journal of the Mechanics and Physics of Solids, vol.40, issue.3, pp.537-69, 1992.
DOI : 10.1016/0022-5096(92)80003-9

R. , J. D. Ksgs03-]-r, O. Kaibyshev, A. Sitdikov, and T. Goloborodko, EMBURY: A structural study of the influence of pressure on shear band formation, Acta Metallurgica SAKAI: Grain refinement in as-cast 7475 aluminium alloy under hot deformation, Materials Science and Engineering A, vol.32, issue.344, pp.511-519, 1984.

D. [. Kocks and . Westlake, The importance of twinning for the ductility of hcp polycrystals. Transactions of The Metallurgical Society of the American Institute of Mining, Metallurgical and Petroleum Engineers, vol.239, pp.1107-1109, 1967.

O. [. Kanchi, D. R. Zienkiewicz, and . Owen, The visco-plastic approach to problems of plasticity and creep involving geometric non-linear effects, International Journal for Numerical Methods in Engineering, vol.20, issue.1, pp.169-181, 1978.
DOI : 10.1002/nme.1620120116

]. E. Lee69, . M. Lee-[-lwdm07-]-s, M. Lim, C. Ei-wahabi, F. Desrayaud et al., Elastic-plastic deformation at finite strains Journal of Applied textures to the beta-quenched precipitate structure and to recrystallization: application to hot extrusion Microstructural refinement of an Fe-C alloy within the ferritic range via two different strain paths, Acta Materialia Materials Science and Engineering A, vol.48, pp.3917-3930, 2000.

H. [. Menon, Overview no. 57 Morphology, crystallography and kinetics of sympathetic nucleation, Swedish Nuclear Power Inspectorate, SKI, pp.549-56314, 1987.
DOI : 10.1016/0001-6160(87)90179-9

. R. Mawd-+-03-]-a, T. Massih, P. Andersson, M. Witt, and M. Dahlbäck, LIMBACK: Effect of quenching rate on the ?-to-? phase transformation structure in Zirconium alloy, Journal of Nuclear Materials, vol.322, issue.2-3, pp.138-151, 2003.

G. [. Mills and . Craig, The plastic deformation of zirconium-oxygen alloy single crystals in the range 77 to 950 K, Transactions of the Metallurgical Society of AIME, pp.1881-1889, 1968.

G. [. Matsuura, H. Hood, and . Zou, The correspondence between self-diffusion properties and melting temperatures for ??-Zr and ??-Ti, Journal of Nuclear Materials, vol.238, issue.2-3, pp.260-263, 1996.
DOI : 10.1016/S0022-3115(96)00458-8

L. [. Massih, Phase ordering under quenching: a case of Zr-alloy, Journal of Physics and Chemistry of Solids, vol.65, issue.6, pp.1193-1198, 2004.
DOI : 10.1016/j.jpcs.2004.01.009

S. [. Minonishi and H. Morozumi, {112} <23> slip in titanium, Scripta Metallurgica, vol.16, issue.4, pp.427-430, 1982.
DOI : 10.1016/0036-9748(82)90166-1

D. [. Meng and . Northwood, Intermetallic precipitates in zircaloy-4, Journal of Nuclear Materials, vol.132, issue.1, pp.80-87, 1985.
DOI : 10.1016/0022-3115(85)90398-8

. [. Montheillet, Moving grain boundaries during hot deformation of metals: dynamic recrystallization. Moving interfaces in crystalline solids (CISM International Centre for Mechanical Sciences, N° 453, 2005.

R. [. Martin and . Reed-hill, A study of basal slip kink bands in polycrystalline Zr. Transactions of The Metallurgical Society of the American Institute of Mining, Metallurgical and Petroleum Engineers, pp.780-785, 1964.

. Iwhn-+-96-]-y, J. Iwahashi, Z. Wang, M. Horita, T. G. Nemoto et al., Principle of equal-channel angular pressing for the processing of ultra-fine grained materials, Scripta Materialia, vol.35, pp.143-146, 1996.

D. [. Newkirk and . Mackenzie, The Jominy End Quench for Light-Weight Alloy Development, Journal of Materials Engineering and Performance, vol.9, issue.4, pp.408-415, 2000.
DOI : 10.1361/105994900770345809

Y. [. Numakura and M. Minonishi, 1} slip in zirconium, Philosophical Magazine A, vol.63, issue.5, pp.1077-1084, 1991.
DOI : 10.1007/BF02648537

K. [. Ökvist and . Kallstrom, The effect of zirconium carbide on the ?? ??? ?? transformation structur in zircaloy, Journal of Nuclear Materials, vol.35, issue.3, pp.316-321, 1970.
DOI : 10.1016/0022-3115(70)90215-1

]. M. Phi98 and . Philippe, Formation de texture lors de transformations thermomécaniques de matériaux de symétrie hexagonale. Revue Française de Métallurgie, pp.1491-1499, 1998.

E. [. Reed-hill, F. W. Buchanan, and . Caldwell, A quantitive measurement of the fraction of tensile strain due to twinning in polycrystalline Zr at 77 K. Transactions of The Metallurgical Society of the American Institute of Mining, Metallurgical and Petroleum Engineers, pp.1716-1718, 1965.

R. [. Russ and . Dehoff, Practical stereology, Kluwar Academic publishers/Plenum publishers, 2000.

J. R. 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

]. S. Rin06 and . Ringeval, Microstructures et textures d'alliages d'aluminum déformées par forgeage croisé (compression multidirectionnelle) Thèse de doctorat, 2006.

D. [. Ringeval, C. Piot, J. Desrayaud, and . Driver, Texture and microtexture development in an Al???3Mg???Sc(Zr) alloy deformed by triaxial forging, Acta Materialia, vol.54, issue.11, pp.3095-3105, 2006.
DOI : 10.1016/j.actamat.2006.02.047
URL : https://hal.archives-ouvertes.fr/hal-00293246

]. W. Rum74 and . Rumball, Massive and martensitic transformations in a Zr-1.25 wt.% Cr-0.1 wt.% Fe alloy, Journal of the Less Common Metals, vol.38, issue.2- 3, pp.233-237, 1974.

H. , T. Guilbert, S. Poissonnet, A. Pineau, J. P. Mardon et al., Influence de la teneur en oxygène sur la microstructure et le comportement mécanique de la phase " ex bêta " , résultant de l'oxydation à haute température (1000-1200°C) du Zircaloy-4, Matériaux, 2006.

]. V. Seg95 and . Segal, Material processing by simple shear, Materials Science and Engineering A Science and Engineering A, vol.197, pp.157-164, 1995.

M. , O. R. Valiakhmetov, and S. P. , MALYSHEVA: Formation of submicrocrystalline structure in large size billets and sheets out of titanium alloys, Proceedings of the NATO Advanced Research Workshop Metallic Materials with High Structural Efficiency, NATO Science Series II: Mathematics, pp.401-412, 2004.

G. [. Soo and . Higgins, The deformation of zirconium-oxygen single crystals, Acta Metallurgica, vol.16, issue.2, pp.177-186, 1968.
DOI : 10.1016/0001-6160(68)90113-2

M. Shahi, Crystal plasticity finite element modelling of slip system activity and post-localization behaviour in Magnesium alloys, Thèse de doctorat, 2008.

T. [. Sitdikov, A. Sakai, and H. Goloborodko, Grain fragmentation in a coarse-grained 7475 Al alloy during hot deformation, Scripta Materialia, vol.51, issue.2, pp.175-179, 2004.
DOI : 10.1016/j.scriptamat.2004.02.034

E. [. Schmitt and J. L. Shen, A parameter for measuring the magnitude of a change of strain path: Validation and comparison with experiments on low carbon steel, International Journal of Plasticity, vol.10, issue.5, pp.535-551, 1994.
DOI : 10.1016/0749-6419(94)90013-2

V. [. Stuckert, U. Seinbrück, and A. Stegmaier, PALAGIN: On the thermo-physical properties of Zircaloy-4 and ZrO 2 at high temperatures, 2002.

]. A. Sta98, STAROSELSKY : Cristal plasticity due to slip and twinning, Thèse de doctorat, 1998.

]. Y. Stus-+-98, N. Saito, H. Tsuji, T. Utsunomiya, R. G. Sakai et al., Ultrafine bulk aluminium produced by accumulative roll-bonding (ARB) process, Scripta Materialia, vol.39, pp.1221-1227, 1998.

]. E. Ten72 and . Tenckhoff, Operation of dislocations with <c+a> type Burgers vector during the deformation of Zr single crystals, Zeitschrift für Metallkunde, vol.63, pp.192-197, 1972.

]. E. Ten88 and . Tenckhoff, Deformation mechanisms, texture, and anisotropy in Zr and Zircaloy, 1988.

J. Tiley, T. Searles, and E. Lee, Quantification of microstructural features in ??/?? titanium alloys, Materials Science and Engineering: A, vol.372, issue.1-2, pp.191-198, 2004.
DOI : 10.1016/j.msea.2003.12.008

]. C. Val95 and . Valot, Techniques de diffraction RX et dynamique spatio-temporelle de l'oxydation des métaux des groupes 4 et 5

]. N. Van08 and . Vanderesse, Morphologie et déformation à chaud de microstructure lamellaires dans les alliages de zirconium et de titane, Thèse de doctorat, École Nationale Supérieure des Mines (Saint-Etienne) -Université Jean Monnet (Saint-Étienne), 2008.

Y. [. Valiev, E. F. Ivanisenko, B. Rauch, and . Baudelet, Structure and deformaton behaviour of Armco iron subjected to severe plastic deformation, Acta Materialia, vol.44, issue.12, pp.4705-4712, 1996.
DOI : 10.1016/S1359-6454(96)00156-5

M. [. Wang and M. J. Aindow, Effect of self-accommodation on ??/?? boundary populations in pure titanium, Acta Materialia, vol.51, issue.9, pp.2485-2503, 2003.
DOI : 10.1016/S1359-6454(03)00035-1

F. [. Weiss, D. Froes, G. E. Eylon, and . Welsch, Modification of alpha morphology in Ti-6Al-4V by thermomechanical processing, Metallurgical Transactions A, vol.8, issue.No. 2
DOI : 10.1007/BF02644991

K. [. Woo, TANGRI: Transformation characteristics of rapidly heated and quenched Zircaloy-4-oxygen alloys, Metallurgical and Materials Transactions A, pp.1935-1947, 1979.

F. [. Zeineb, T. Meraim, and . Balan, Implantation et validation de l'élément fini SHB8 dans ABAQUS. 17ème Congrès Français de Mécanique, 2005.