. Abaqus, ABAQUS Theory User's manual for version 6, 2003.

M. Abdel-karim and N. Ohno, Kinematic hardening model suitable for ratchetting with steady-state, International Journal of Plasticity, vol.16, issue.3-4, pp.225-240, 2000.
DOI : 10.1016/S0749-6419(99)00052-2

M. Abdel-karim, Numerical integration method for kinematic hardening rules with partial activation of dynamic recovery term, International Journal of Plasticity, vol.21, issue.7, pp.1303-1321, 2005.
DOI : 10.1016/j.ijplas.2004.06.001

L. Adam, Modélisation du comportement thermo-élasto-visco-plastique des métaux soumis à grandes déformations : Application au formage superplastique, 2003.

J. L. Alves, Simulação numérica do processo de estampagem de chapas metálicas: Modelação mecânica e métodos numéricos, 2003.

F. Armero and A. Pérez-foguet, On the formulation of closest-point projection algorithms in elastoplasticity-part I: The variational structure, International Journal for Numerical Methods in Engineering, vol.26, issue.2, pp.297-329, 2002.
DOI : 10.1002/nme.278

P. J. Armstrong and C. O. Frederick, A mathematical representation of the multiaxial Bauschinger effect, G.E.G.B. Report RD, 1966.

R. Arrieux, C. Bedrin, and M. Boivin, Determination of the Strain Path Influence of the Forming Limit Diagrams, from the Limit Stress Curve, CIRP Annals - Manufacturing Technology, vol.34, issue.1, pp.205-208, 1985.
DOI : 10.1016/S0007-8506(07)61757-0

R. Arrieux, Détermination théorique et expérimentale des courbes limites de formage en contraintes, 1990.

B. Bacroix, P. Genevoix, and C. Teodosiu, Plastic anisotropy in low carbon steels subjected to simple shear with strain-path changes, European J. Mech. Ser. A/Solids, vol.13, pp.661-675, 1994.

B. Bacroix, T. Balan, S. Bouvier, and C. Teodosiu, Identification of plastic potentials by inverse method, Proc. 6th Int. Esaform Conf, pp.347-350, 2003.

T. Balan and C. Teodosiu, Constitutive algorithm for plasticity model of texture, strainpath induced anisotropy and rate-sensitivity: Interface between constitutive algorithm and FE code (Abaqus/ Standard) Internal Report, 1999.

G. Barbier, A. Benallal, and V. Cano, Relation th??orique entre la m??thode de perturbation lin??aire et l'analyse de bifurcation pour la pr??diction de la localisation des d??formations, Comptes Rendus de l'Acad??mie des Sciences - Series IIB - Mechanics-Physics-Chemistry-Astronomy, vol.326, issue.3, 1998.
DOI : 10.1016/S1251-8069(99)89001-0

. Acad and . Sci, Paris, 326, série II b, pp.153-158

F. Barlat, D. J. Lege, and J. C. Brem, A six-component yield function for anisotropic materials, International Journal of Plasticity, vol.7, issue.7, pp.693-712, 1991.
DOI : 10.1016/0749-6419(91)90052-Z

F. Barlat and K. Chung, Anisotropic potentials for plastically deformation metals, 1993.

F. Barlat, K. Chung, and O. Richmond, Strain rate potential for metals and its application to minimum plastic work path calculations, International Journal of Plasticity, vol.9, issue.1, pp.51-63, 1993.
DOI : 10.1016/0749-6419(93)90013-G

F. Barlat, J. M. Ferreira-duarte, J. J. Gracio, A. B. Lopes, and E. F. Rauch, Plastic flow for non-monotonic loading conditions of an aluminum alloy sheet sample, International Journal of Plasticity, vol.19, issue.8, pp.1215-1244, 2003.
DOI : 10.1016/S0749-6419(02)00020-7

B. Bay, N. Hansen, D. A. Hughes, and D. Kuhlmann-wilsdorf, Overview no. 96 evolution of f.c.c. deformation structures in polyslip, Acta Metallurgica et Materialia, vol.40, issue.2, pp.205-219, 1992.
DOI : 10.1016/0956-7151(92)90296-Q

A. Benallal, R. Billardon, and I. Doghri, An integration algorithm and the corresponding consistent tangent operator for fully coupled elastoplastic and damage equations, Communications in Applied Numerical Methods, vol.3, issue.6, pp.731-740, 1988.
DOI : 10.1002/cnm.1630040606

A. Benallal, R. Billardon, and G. Geymonat, Phénomènes de localisation à la frontière d'un solide, C. R. Acad. Sci, pp.679-684, 1990.

A. Benallal, R. Billardon, and G. Geymonat, Bifurcation and localization in rateindependent materials. Some general considerations, Bifurcation and stability of dissipative systems, CISM, courses and Lectures n° 327, 1993.

A. Benallal and C. Comi, Closed form solutions to localization conditions for rateindependent materials, C. R. Acad. Sci, pp.7-14, 1994.

A. Benallal and C. Comi, On localisation in saturated porous continua, C. R. Acad. Sci. Paris, vol.328, pp.847-853, 2000.

A. Benallal and D. Bigoni, Effects of temperature and thermo-mechanical couplings on material instabilities and strain localization of inelastic materials, Journal of the Mechanics and Physics of Solids, vol.52, issue.3, pp.725-753, 2003.
DOI : 10.1016/S0022-5096(03)00118-2

R. Billardon and I. Doghri, Prévision de l'amorçage d'une macro-fissure par localisation de l'endommagement, C.R. Acad. Sci. Paris II, vol.308, pp.347-352, 1989.

R. K. Boger, R. H. Wagoner, F. Barlat, M. G. Lee, and K. Chung, Continuous, large strain, tension/compression testing of sheet material, International Journal of Plasticity, vol.21, issue.12, pp.2319-2343, 2005.
DOI : 10.1016/j.ijplas.2004.12.002

S. Bouvier, C. Teodosiu, H. Haddadi, and V. Tabacaru, Anisotropic work-hardening behaviour of??structural steels and aluminium alloys at large strains, Journal de Physique IV (Proceedings), vol.105, pp.215-222, 2003.
DOI : 10.1051/jp4:20030190

S. Bouvier, J. L. Alves, M. C. Oliveira, and L. F. Menezes, Modeling of anisotropic workhardening behavior of metallic materials subjected to strain-path changes, Computational Material Science, vol.32, pp.3-4, 2005.

S. Bouvier, H. Haddadi, P. Levée, and C. Teodosiu, Simple shear tests: Experimental techniques and characterization of the plastic anisotropy of rolled sheets at large strains, Journal of Materials Processing Technology, vol.172, issue.1, 2006.
DOI : 10.1016/j.jmatprotec.2005.09.003

M. Brunet, R. Arrieux, and M. Boivin, Détermination par éléments finis en grandes déformations des courbes limites de formage en contraintes, Proc. Int. Symp. on Plastic instability, pp.227-238, 1985.

M. Brunet and F. Sabourin, Prediction of wrinkles and necking with a simplified triangular shell element. Metal forming process simulation in industry, pp.73-75, 1994.

M. Brunet, S. Mguil, and F. Morestin, Analytical and experimental studies of necking in sheet metal forming processes, Journal of Materials Processing Technology, vol.80, issue.81, pp.40-46, 1998.
DOI : 10.1016/S0924-0136(98)00131-9

M. Brunet and F. Morestin, Experimental and analytical necking studies of anisotropic sheet metals, Journal of Materials Processing Technology, vol.112, issue.2-3, pp.214-226, 2001.
DOI : 10.1016/S0924-0136(01)00578-7

URL : https://hal.archives-ouvertes.fr/hal-00455837

M. Brunet, F. Morestin, and H. Walter-leberre, Failure analysis of anisotropic sheet-metals using a non-local plastic damage model, Journal of Materials Processing Technology, vol.170, issue.1-2, pp.457-470, 2005.
DOI : 10.1016/j.jmatprotec.2005.05.046

URL : https://hal.archives-ouvertes.fr/hal-00368447

M. C. Butuc, Forming limit diagrams: definition of plastic instability criteria, 2004.

W. D. Carden, L. M. Geng, D. K. Matlock, and R. H. Wagoner, Measurement of springback, International Journal of Mechanical Sciences, vol.44, issue.1, pp.79-101, 2002.
DOI : 10.1016/S0020-7403(01)00082-0

J. L. Chaboche, Time-independent constitutive theories for cyclic plasticity, International Journal of Plasticity, vol.2, issue.2, p.149, 1986.
DOI : 10.1016/0749-6419(86)90010-0

J. L. Chaboche, Constitutive equations for cyclic plasticity and cyclic viscoplasticity, International Journal of Plasticity, vol.5, issue.3, 1989.
DOI : 10.1016/0749-6419(89)90015-6

J. L. Chaboche, On some modifications of kinematic hardening to improve the description of ratchetting effects, International Journal of Plasticity, vol.7, issue.7, pp.661-678, 1991.
DOI : 10.1016/0749-6419(91)90050-9

J. L. Chaboche and G. Cailletaud, Integration methods for complex plastic constitutive equations, Computer Methods in Applied Mechanics and Engineering, vol.133, issue.1-2, pp.125-155, 1996.
DOI : 10.1016/0045-7825(95)00957-4

J. L. Chaboche, Thermodynamically Founded CDM Models for Creep and Other Conditions, Creep and Damage in Materials and structures, pp.209-283, 1999.
DOI : 10.1007/978-3-7091-2506-9_5

A. Cherouat, K. Saanouni, and Y. Hammi, Improvement of forging process of a 3D complex part with respect to damage occurrence, Journal of Materials Processing Technology, vol.142, issue.2, pp.307-317, 2003.
DOI : 10.1016/S0924-0136(03)00580-6

Y. Choi, C. S. Han, J. K. Lee, and R. H. Wagoner, Modeling multi-axial deformation of planar anisotropic elasto-plastic materials, part I: Theory, International Journal of Plasticity, vol.22, issue.9, pp.1745-1764, 2006.
DOI : 10.1016/j.ijplas.2006.02.002

Y. Choi, C. S. Han, J. K. Lee, and R. H. Wagoner, Modeling multi-axial deformation of planar anisotropic elasto-plastic materials, part II: Applications, International Journal of Plasticity, vol.22, issue.9, pp.1765-1783, 2006.
DOI : 10.1016/j.ijplas.2006.02.003

C. L. Chow, X. L. Yang, and E. Chu, Prediction of Forming Limit Diagram Based on Damage Coupled Kinematic-Isotropic Hardening Model Under Nonproportional Loading, Journal of Engineering Materials and Technology, vol.124, issue.2, pp.259-256, 2002.
DOI : 10.1115/1.1431908

C. C. Chu, The effect of restraining force on springback, International Journal of Solids and Structures, vol.27, issue.8, pp.1035-1046, 1991.
DOI : 10.1016/0020-7683(91)90099-2

B. K. Chun, J. T. Jinn, and J. K. Lee, Modeling the Bauschinger effect for sheet metals, part I: theory, International Journal of Plasticity, vol.18, issue.5-6, pp.571-595, 2002.
DOI : 10.1016/S0749-6419(01)00046-8

B. K. Chun, J. T. Jinn, and J. K. Lee, Modeling the Bauschinger effect for sheet metals, part II: applications, International Journal of Plasticity, vol.18, issue.5-6, pp.597-616, 2002.
DOI : 10.1016/S0749-6419(01)00047-X

K. Chung, M. Lee, D. Kim, C. Kim, M. L. Wenner et al., Springback evaluation of automotive sheets based on isotropic-kinematic hardening laws and nonquadratic anisotropic yield functions. Part I: theory and formulation, Int. J. of Plasticity, vol.21, pp.861-882, 2005.

A. Col, Emboutissage des tôles : Importance des modes de déformation, p.180, 2006.

A. Considère, Mémoire sur l'emploi du fer et de l'acier dans les constructions, Annales des Ponts et Chaussées, vol.9, p.574, 1885.

J. P. Cordebois, Critères d'instabilité plastique et endommagement ductile en grandes déformations, 1983.

D. Montleau, P. Duchêne, L. Bouvier, S. Flores, P. Habraken et al., Deep drawing process with different elastoplastic laws, Esaform Conference Proceedings, pp.163-166, 2004.

I. Doghri, Etude de la localisation de l'endommagement, Thèse de doctorat de l, 1989.

I. Doghri and R. Billardon, Investigation of localization due to damage in elasto-plastic materials, Mechanics of Materials, vol.19, issue.2-3, pp.129-149, 1995.
DOI : 10.1016/0167-6636(94)00011-5

Z. Dongjuan, C. Zhenshan, R. Xueyu, and L. Yuqiang, Sheet springback prediction based on non-linear combined hardening rule and Barlat89???s yielding function, Computational Materials Science, vol.38, issue.2, 2006.
DOI : 10.1016/j.commatsci.2006.02.007

A. Dragon and D. Halm, A model of anisotropic damage by micro-crack growth, unilateral effect, Proc. Workshop Mechanical Behaviour of Damaged Solids, 1995.

G. Duffett, R. Weyler, and C. Cruz, Material hardening model sensitivity in springback predictions, Conference Proceedings of Numisheet'02, pp.85-90, 2002.

M. Firat, U-channel forming analysis with an emphasis on springback deformation, Materials & Design, vol.28, issue.1, 2006.
DOI : 10.1016/j.matdes.2005.05.008

A. D. Freed and K. P. Walker, Exponential integration algorithms for first-order ODES with application to viscoplasticity, NASA TM 105.587, ASME Summer Conf. on Mechanics and Materials. Recent Advances on Damage Mechanics and Plasticity, 1992.

J. T. Gau and G. L. Kinzel, A new model for springback prediction in which the Bauschinger effect is considered, International Journal of Mechanical Sciences, vol.43, issue.8, pp.1813-1832, 2001.
DOI : 10.1016/S0020-7403(01)00012-1

P. Genevois, Étude expérimentale et modélisation du comportement plastique anisotrope de tôles d'acier en grandes déformations, Thèse de doctorat de l'Institut National Polytechnique de Grenoble, 1992.

L. Geng, Application of plastic anisotropy and non-isotropic hardening to springback prediction, 2000.

L. Geng, Y. Shen, and R. H. Wagoner, Anisotropic hardening equations derived from reverse-bend testing, International Journal of Plasticity, vol.18, issue.5-6, pp.5-6, 2002.
DOI : 10.1016/S0749-6419(01)00048-1

L. Geng and R. H. Wagoner, Role of plastic anisotropy and its evolution on springback, International Journal of Mechanical Sciences, vol.44, issue.1, 2002.
DOI : 10.1016/S0020-7403(01)00085-6

G. M. Goodwin, Application of the strain analysis to steel metal forming in press shop, 1968.

A. K. Gosh and J. V. Laukonis, Influence of the strain-path changes on the formability of the steel sheet. Sheet Metal Forming and Energy Conversation, pp.153-155, 1976.

A. Gurson, Continuum Theory of Ductile Rupture by Void Nucleation and Growth: Part I???Yield Criteria and Flow Rules for Porous Ductile Media, Journal of Engineering Materials and Technology, vol.99, issue.1, pp.2-15, 1977.
DOI : 10.1115/1.3443401

M. Habbad, Instabilités plastiques en élasto-plasticité anisotrope en grandes déformations, 1994.

J. Hadamard, Leçons sur la propagation des ondes et équations de l'hydrodynamique, 1903.

A. Haddad, Contribution à la détermination des courbes limites de formage en contraintes et en déformations à partir de la théorie 3G, 1997.

H. Haddadi, S. Bouvier, and P. Levée, Identification of a microstructural model for steels subjected to large tensile and/or simple shear deformations, Le Journal de Physique IV, vol.11, issue.PR4, pp.329-337, 2001.
DOI : 10.1051/jp4:2001440

H. Haddadi, V. Tabacaru, C. Teodosiu, C. Maier, and S. Bouvier, Tensile/Shear Tests and Identification of Elastoplastic Models for DP600, pp.500-506, 2003.

H. Haddadi, S. Bouvier, M. Banu, C. Maier, and C. Teodosiu, Towards an accurate description of the anisotropic behaviour of sheet metals under large plastic deformations: Modelling, numerical analysis and identification, International Journal of Plasticity, vol.22, issue.12, pp.2226-2271, 2006.
DOI : 10.1016/j.ijplas.2006.03.010

B. Haddag, T. Balan, and F. Abed-meraim, Finite element prediction of strain-path induced anisotropy in deep drawing, Esaform Conference Proceedings, pp.491-494, 2004.

B. Haddag, T. Balan, and F. Abed-meraim, Springback Simulation: Impact of Some Advanced Constitutive Models and Numerical Parameters, AIP Conference Proceedings, pp.286-291, 2005.
DOI : 10.1063/1.2011235

URL : https://hal.archives-ouvertes.fr/hal-00656150

B. Haddag, T. Balan, and F. Abed-meraim, Investigation of advanced strain-path dependent material models for sheet metal forming simulations, International Journal of Plasticity, vol.23, issue.6, pp.1-29, 2006.
DOI : 10.1016/j.ijplas.2006.10.004

URL : https://hal.archives-ouvertes.fr/hal-00656323

B. Haddag, F. Abed-meraim, and T. Balan, Strain localization analysis using large deformation anisotropic elasto-plastic model coupled with damage, III European Conference on Computational Mechanics Solids, Structures and Coupled Problems in Engineering, C.A, 2006.

Y. Hammi, Simulation numérique de l'endommagement dans les procédés de mise en forme, Thèse de doctorat de l, 2000.

S. Hartmann and P. Haupt, Stress computation and consistent tangent operator using non-linear kinematic hardening models, International Journal for Numerical Methods in Engineering, vol.51, issue.22, pp.3801-3814, 1993.
DOI : 10.1002/nme.1620362204

N. He and R. H. Wagoner, Springback simulation in sheet metal forming, Conference Proceedings of Numisheet'96, pp.308-315, 1996.

S. S. Hecker, A simple forming limit curve technique and results on aluminium alloys, 1972.

R. Hill, A Theory of the Yielding and Plastic Flow of Anisotropic Metals, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.193, issue.1033, pp.281-297, 1948.
DOI : 10.1098/rspa.1948.0045

R. Hill, The Mathematical Theory of Plasticity, 1950.

R. Hill, On discontinuous plastic states, with special reference to localized necking in thin sheets, Journal of the Mechanics and Physics of Solids, vol.1, issue.1, pp.19-30, 1952.
DOI : 10.1016/0022-5096(52)90003-3

R. Hill, Theoretical plasticity of textured aggregates, Math. Proc. Cambr, pp.179-191, 1979.
DOI : 10.1016/0020-7403(66)90069-5

R. Hill, Constitutive dual potentials in classical plasticity, Journal of the Mechanics and Physics of Solids, vol.35, issue.1, pp.22-33, 1987.
DOI : 10.1016/0022-5096(87)90025-1

R. Hill, A user-friendly theory of orthotropic plasticity in sheet metals, International Journal of Mechanical Sciences, vol.35, issue.1, 1993.
DOI : 10.1016/0020-7403(93)90061-X

R. Hill, Plastic anisotropy and the geometry of yield surfaces in stress space, Journal of the Mechanics and Physics of Solids, vol.48, issue.6-7, 1999.
DOI : 10.1016/S0022-5096(99)00080-0

S. Hiwatashi, A. Van-bael, P. Van-houtte, and C. Teodosiu, Prediction of forming limit strains under strain-path changes: Application of an anisotropic model based on texture and dislocation structure, International Journal of Plasticity, vol.14, issue.7, pp.647-669, 1998.
DOI : 10.1016/S0749-6419(98)00031-X

T. Hoc and C. Rey, Mesostructure of the localization in prestrained mild steel. Scripta mater, pp.749-754, 2000.

T. Hoc, G. F. Dirras, and C. Rey, Mesostructure of the localization in prestrained mild steel, Materials Science and Engineering, pp.319-321, 2001.

T. Hoc, C. Rey, and J. L. 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

E. Hoferlin, S. Li, A. Van-bael, and P. Van-houtte, Texture and microstructure induced anisotropy: micro-macro modeling, implementation, Simulation of Materials Processing: Theory, Methods and Applications, Proc. of Inter. Conf. Numiform 2001. Swets & Zeiltinger, pp.209-214, 2001.

Z. Hu, Work-hardening behavior of mild steel under cyclic deformation at finite strains, Acta Metallurgica et Materialia, vol.42, issue.10, pp.3481-3491, 1994.
DOI : 10.1016/0956-7151(94)90480-4

T. J. Hughes, Numerical implementation of constitutive models: rate-independent deviatoric plasticity In: Theoretical foundation for large-scale computations for nonlinear material behavior, pp.29-57, 1984.

J. W. Hutchinson and K. W. Neale, Sheet necking mechanics of sheet metal forming, pp.215-280, 1978.

M. A. Keavey, A canonical form return mapping algorithm for rate independent plasticity, International Journal for Numerical Methods in Engineering, vol.15, issue.6, pp.1491-1510, 2001.
DOI : 10.1002/nme.350

S. P. Keeler, Determination of Forming Limits in Automotive Stampings, SAE Technical Paper Series, pp.683-703, 1965.
DOI : 10.4271/650535

V. Keryvin, Contribution à la modélisation de l'endommagement localisé, Thèse de doctorat de l, 1999.

A. Khan and S. H. Huang, Continuum Theory of Plasticity, 1995.

M. Khelifa, Simulation numérique de l'endommagement en formage des structures minces, Thèse de doctorat de l, 2004.

A. R. Khoei and N. Jamali, On the implementation of a multi-surface kinematic hardening plasticity and its applications, International Journal of Plasticity, vol.21, issue.9, pp.1741-1770, 2005.
DOI : 10.1016/j.ijplas.2004.11.010

U. F. Kocks, T. Hasegawa, and R. O. Scattergood, On the origin of cell walls of lattice misoriontations during deformation, Scripta Metall, pp.14-449, 1980.

M. Kuroda and V. Tvergaard, Forming limit diagrams for anisotropic metal sheets with different yield criteria, International Journal of Solids and Structures, vol.37, issue.37, pp.5037-5059, 2000.
DOI : 10.1016/S0020-7683(99)00200-0

M. Kuroda and V. Tvergaard, Effect of strain path change on limits to ductility of anisotropic metal sheets, International Journal of Mechanical Sciences, vol.42, issue.5, pp.867-887, 2000.
DOI : 10.1016/S0020-7403(99)00029-6

T. Kuwabara, Y. Morita, Y. Miyashita, and S. Takahashi, Elastic?plastic behavior of sheet metal subjected to in-plane reverse loading, Proceedings of Plasticity'95, Dynamic Plasticity and Structural Behavior. Gordon and Breach, 1995.

T. Kuwabara, S. Takahashi, and K. Ito, Springback analysis of sheet metal subjected to bending?unbending under tension, Part II (experimental verification) Advanced Technology of Plasticity, Proceedings of the 5 th ICTP, pp.747-50, 1996.

P. Ladevèze and J. Lemaitre, Damage effective stress in quasi unilateral conditions, 16 th International Congress of Theoretical and Applied Mechanics, 1984.

L. Lang, J. Danckert, and K. B. Nielsen, Investigation into hydrodynamic deep drawing assisted by radial pressure, Journal of Materials Processing Technology, vol.148, issue.1, pp.119-131, 2004.
DOI : 10.1016/j.jmatprotec.2004.01.053

L. Langlois, Évolutions propres de la microstructure de dislocations et conséquences sur le comportement élasto-plastique des métaux, Thèse de doctorat de l'université de Metz, 2000.

L. Langlois and M. Berveiller, Overall softening and anisotropy related with the formation and evolution of dislocation cell structures, International Journal of Plasticity, vol.19, issue.5, pp.599-624, 2003.
DOI : 10.1016/S0749-6419(01)00074-2

M. Lee, D. Kim, C. Kim, M. L. Wenner, R. H. Wagoner et al., Springback evaluation of automotive sheets based on isotropic-kinematic hardening laws and nonquadratic anisotropic yield functions. Part II: Characterization of material properties, Int. J. of Plasticity, vol.21, pp.883-914, 2005.

M. Lee, D. Kim, C. Kim, M. L. Wenner, and K. Chung, Spring-back evaluation of automotive sheets based on isotropic???kinematic hardening laws and non-quadratic anisotropic yield functions, part III: applications, International Journal of Plasticity, vol.21, issue.5, pp.915-953, 2005.
DOI : 10.1016/j.ijplas.2004.05.014

J. Lemaitre, A Continuous Damage Mechanics Model for Ductile Fracture, Journal of Engineering Materials and Technology, vol.107, issue.1, pp.83-89, 1985.
DOI : 10.1115/1.3225775

J. Lemaitre, R. Desmorat, and M. Sauzay, Anisotropic damage law of evolution, European Journal of Mechanics - A/Solids, vol.19, issue.2, 2000.
DOI : 10.1016/S0997-7538(00)00161-3

K. P. Li, W. P. Carden, and R. H. Wagoner, Simulation of springback, International Journal of Mechanical Sciences, vol.44, issue.1, pp.103-122, 2002.
DOI : 10.1016/S0020-7403(01)00083-2

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

J. Mandel, Définition d'un repère privilégié pour l'étude des transformations anélastiques du polycristal, J. Méca. Théor. Appl, vol.1, pp.7-23, 1982.

Z. Marciniak and K. Kuczynski, Limit strains in the processes of stretch-forming sheet metal, International Journal of Mechanical Sciences, vol.9, issue.9, pp.609-620, 1967.
DOI : 10.1016/0020-7403(67)90066-5

Z. Marciniak, K. Kuczynski, and T. Pokora, Influence of the plastic properties of a material on the forming limit diagram for sheet metal in tension, International Journal of Mechanical Sciences, vol.15, issue.10, pp.789-805, 1973.
DOI : 10.1016/0020-7403(73)90068-4

D. Marquis, Modélisation et identification de l'écrouissage anisotrope des Métaux, 1979.

K. Mattiasson, A. Strange, P. Thilderkvist, and A. Samuelsson, Springback in sheet metal forming, Conference Proceedings of Numiform'95, pp.115-124, 1995.

K. Miyauchi, A proposal of a planar simple shear test in sheet metals, In: Scientific Papers of the Institute of Physical and Chemical Research, vol.78, issue.3, pp.27-40, 1984.

K. Miyauchi, Bauschinger effect in planar shear deformation of sheet metals, Adv. Technol. Plasticity, vol.1, p.523, 1984.

K. Mori, K. Akita, and Y. Abe, Springback of high strength steel and aluminium alloy sheets in bending using CNC servo press, Int. Conf. on Technology of Plasticity, pp.87-88, 2005.

F. Moussey, Les différentes échelles du développement de l'endommagement dans les aciers : influence de la déformation à l'échelle microscopique, Instabilités Plastiques, 1985.

K. Nakazima and T. Kikuma, Effects of the deforming conditions and mechanical properties on the stretch forming of steel sheets, Trans. Iron and steel Institute of Japan, vol.11, pp.827-839, 1971.

A. Needleman and V. Tvergaard, LIMITS TO FORMABILITY IN RATE-SENSITIVE METAL SHEETS, Proc, 1983.
DOI : 10.1016/B978-1-4832-8372-2.50008-7

A. Needleman and V. Tvergaard, Analyses of Plastic Flow Localization in Metals, Applied Mechanics Reviews, vol.45, issue.3S, 1992.
DOI : 10.1115/1.3121390

E. V. Nesterova, B. Bacroix, and C. Teodosiu, Experimental observation of microstructure evolution under strain-path changes in low-carbon IF steel, Materials Science and Engineering: A, vol.309, issue.310, 2001.
DOI : 10.1016/S0921-5093(00)01639-7

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 : 10.1007/s11661-001-0042-9

N. Ohno and Y. Kachi, A Constitutive Model of Cyclic Plasticity for Nonlinear Hardening Materials, Journal of Applied Mechanics, vol.53, issue.2, pp.395-404, 1986.
DOI : 10.1115/1.3171771

N. Ohno and J. D. Wang, Kinematic Hardening Rule with Critical State of Dynamic Recovery, Int. J. of Plasticity, vol.9, pp.373-390, 1993.
DOI : 10.1016/B978-012443341-0/50025-9

N. Ohno and J. D. Wang, Kinematic Hardening Rule with Critical State of Dynamic Recovery, Int. J. of Plasticity, vol.9, pp.391-403, 1993.
DOI : 10.1016/B978-012443341-0/50025-9

M. C. Oliviera, J. L. Alves, and L. F. Menezes, One step springback strategies in metal forming, Proc. of the 7 th Int. Conf. on Comp. Plasticity, COMPLAS, 2003.

M. Ortiz and E. P. Popov, Accuracy and stability of integration algorithms for elastoplastic constitutive relations, International Journal for Numerical Methods in Engineering, vol.2, issue.9, pp.1561-1576, 1985.
DOI : 10.1002/nme.1620210902

N. S. Ottosen and K. Runisson, Properties of discontinuous bifurcation solutions in elasto-plasticity, International Journal of Solids and Structures, vol.27, issue.4, pp.401-421, 1991.
DOI : 10.1016/0020-7683(91)90131-X

A. Pérez-foguet and F. Armero, On the formulation of closest-point projection algorithms in elastoplasticity-part II: Globally convergent schemes, International Journal for Numerical Methods in Engineering, vol.189, issue.1, pp.331-374, 2002.
DOI : 10.1002/nme.279

M. L. Pessanha, Étude numérique de l'influence du modèle de plasticité sur le comportement des tôles lors de l'emboutissage, 2002.

F. Pourboghrat and E. Chu, Springback in plane strain stretch/draw sheet forming, International Journal of Mechanical Sciences, vol.37, issue.3, 1995.
DOI : 10.1016/0020-7403(95)93523-9

W. Prager, A new method of analyzing stresses and strains in work-hardening plastic solids, ASME, J. App. Mech. Trans. 78, p.493, 1956.

W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical recipes: The art of scientific computing, 1992.

M. Rabahallah, Étude du comportement des matériaux métalliques en approche potentiel dual : application à la mise en forme, Thèse en cours à l'université de Metz, 2007.

C. Rapport, Improved constitutive equations for forming processes including ductility criteria. Research Program of research fund for coal and steel, 2003.

C. Rapport, Improved constitutive equations for forming processes including ductility criteria. Research Program of research fund for coal and steel, 2004.

E. F. Rauch, Plastic anisotropy of sheet metals determined by simple shear tests, Materials Science and Engineering: A, vol.241, issue.1-2, 1998.
DOI : 10.1016/S0921-5093(97)00486-3

E. F. Rauch, S. Hashimoto, and B. Baudelet, Simple shear deformation of iron-silicon single crystals, Scripta Metallurgica et Materialia, vol.24, issue.6, pp.1081-1086, 1990.
DOI : 10.1016/0956-716X(90)90303-X

E. F. Rauch and J. H. Schmitt, Dislocation substructures in mild steel deformed in simple shear, Materials Science and Engineering: A, vol.113, pp.441-448, 1989.
DOI : 10.1016/0921-5093(89)90331-6

D. W. Rees and R. K. Power, Process signatures and finite elements in metal sheet forming, Journal of Materials Processing Technology, vol.77, issue.1-3, pp.134-144, 1998.
DOI : 10.1016/S0924-0136(97)00453-6

J. R. Rice, The localisation of plastic deformation. Theoretical and Applied Mechanics, pp.207-220, 1976.

J. W. Rudnicki and J. R. Rice, Conditions for the localization of deformation in pressuresensitive dilatant materials, J. Mech. Phys. Solids, vol.23, issue.6, pp.597-605, 1975.

F. Sabourin, M. Brunet, and M. Vives, 3D springback analysis with a simplified threenode triangular element, Numisheet'99, the 4 th Int. Conf. and Workshop on numerical simulation of 3D sheet forming process, pp.17-22, 1999.

F. Sabourin, F. Morestin, and M. Brunet, Effect of non-linear kinematic hardening on springback analysis, Conference Proceedings of Numisheet'02, pp.79-89, 2002.

J. H. Schmitt, E. Aernoutd, and B. Baudelet, Yield loci for polycrystalline metals without texture, Materials Science and Engineering, vol.75, issue.1-2, pp.13-20, 1985.
DOI : 10.1016/0025-5416(85)90173-9

F. Sidoroff, Cours sur les grandes déformations, 1982.

J. Simo and R. Taylor, Consistent tangent operators for rate-independent elasto-plasticity, 1985.
DOI : 10.1016/0045-7825(85)90070-2

J. C. Simo and F. Armero, Geometrically non-linear enhanced strain mixed methods and the method of incompatible modes, International Journal for Numerical Methods in Engineering, vol.29, issue.7, pp.1413-1449, 1992.
DOI : 10.1002/nme.1620330705

L. Stainier, Modélisation numérique du comportement irréversible des métaux ductiles soumis à grandes déformations avec endommagement, 1997.

S. Stören, O. S. Hopperstad, H. J. Roven, and H. P. Langtangen, Modelling and simulation of flow localisation in material processing. Physical, theoretical and numerical fundamentals, 2004.

T. B. Stoughton, A general forming limit criterion for sheet metal forming, International Journal of Mechanical Sciences, vol.42, issue.1, pp.1-27, 2000.
DOI : 10.1016/S0020-7403(98)00113-1

T. B. Stoughton, Stress-Based Forming Limits in Sheet-Metal Forming, Journal of Engineering Materials and Technology, vol.123, issue.4, pp.417-422, 2001.
DOI : 10.1115/1.1398083

T. B. Stoughton and J. Yoon, A pressure-sensitive yield criterion under a non-associated flow rule for sheet metal forming, International Journal of Plasticity, vol.20, issue.4-5, pp.705-731, 2004.
DOI : 10.1016/S0749-6419(03)00079-2

W. Swift, Plastic instability under plane stress, Journal of the Mechanics and Physics of Solids, vol.1, issue.1, pp.1-18, 1952.
DOI : 10.1016/0022-5096(52)90002-1

C. Teodosiu and Z. Hu, Evolution of the intragranular microstructure at moderate and large strains: Modeling and computational significance, Simulation of Materials Processing: Theory, Methods and Applications. Numiform'95 Proceedings, pp.173-182, 1995.

C. Teodosiu, Large Plastic Deformation of crystalline aggregates. CISM courses and lectures ? No, pp.3-211, 1997.

C. Teodosiu and Z. Hu, Microstructure in the continuum modeling of plastic anisotropy, 1998.

C. Teodosiu, On the implementation of the dislocation-based microstructural model, 2003.

S. Thuillier and E. F. Rauch, Development of microbands in mild steel during cross loading, Acta Metallurgica et Materialia, vol.42, issue.6, pp.1973-1983, 1994.
DOI : 10.1016/0956-7151(94)90022-1

E. Till and A. E. Raab, Modeling effects in springback simulation th IDDRG Conference, p.24, 2005.

C. Veerman, The determination and application of the FLC-onset of localized necking. IDDRG, Meeting, 1972.

J. W. Yoon, D. Y. Yang, and K. Chung, Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials, Computer Methods in Applied Mechanics and Engineering, vol.174, issue.1-2, pp.23-56, 1999.
DOI : 10.1016/S0045-7825(98)00275-8

F. Yoshida, T. Uemori, and K. Fujiwara, Elastic???plastic behavior of steel sheets under in-plane cyclic tension???compression at large strain, International Journal of Plasticity, vol.18, issue.5-6, pp.633-659, 2002.
DOI : 10.1016/S0749-6419(01)00049-3

F. Yoshida and T. Uemori, A model of large-strain cyclic plasticity describing the Bauschinger effect and workhardening stagnation, International Journal of Plasticity, vol.18, issue.5-6, pp.661-686, 2002.
DOI : 10.1016/S0749-6419(01)00050-X

H. Ziegler, A modification of Prager???s hardening rule, Quarterly of Applied Mathematics, vol.17, issue.1, pp.55-65, 1959.
DOI : 10.1090/qam/104405