T. Jimma, Deep drawing convex polygon shell researches on the deep drawing of sheet metal by the slip line theory 1 st report, Jpn. Soc. Tech. plast, vol.11, pp.653-670, 1970.

M. Karima, Blank Development and Tooling Design for Drawn Parts Using a Modified Slip Line Field Based Approach, Journal of Engineering for Industry, vol.111, issue.4, pp.345-350, 1989.
DOI : 10.1115/1.3188770

H. Gloeckl and K. Lange, Computer aided design of blanks for deep drawn irregular shaped components, Proceedings of the 11 th NAMRC, pp.243-251, 1983.

J. H. Vogel and D. Lee, An analysis method for deep drawing process design, International Journal of Mechanical Sciences, vol.32, issue.11, pp.891-907, 1990.
DOI : 10.1016/0020-7403(90)90062-N

X. Chen and R. Sowerby, Blank development and the prediction of earing in cup drawing, International Journal of Mechanical Sciences, vol.38, issue.5, pp.509-516, 1996.
DOI : 10.1016/0020-7403(95)00068-2

R. Sowerby, J. L. Duncan, and E. Chu, The modelling of sheet metal stampings, International Journal of Mechanical Sciences, vol.28, issue.7, pp.415-430, 1986.
DOI : 10.1016/0020-7403(86)90062-7

G. N. Blount and B. V. Fischer, Computerised blank shape prediction for sheet metal components having doubly-curved surfaces, International Journal of Production Research, vol.30, issue.2, pp.993-1005, 1995.
DOI : 10.1016/S0007-8506(07)60164-4

X. Chen and R. Sowerby, The development of ideal blank shapes by the method of plane stress characteristics, International Journal of Mechanical Sciences, vol.34, issue.2, pp.159-166, 1992.
DOI : 10.1016/0020-7403(92)90080-Z

J. H. Vogel and D. Lee, An analysis method for deep drawing process design, International Journal of Mechanical Sciences, vol.32, issue.11, pp.891-907, 1990.
DOI : 10.1016/0020-7403(90)90062-N

C. H. Toh and S. Kobayashi, Deformation analysis and blank design in square cup drawing, International Journal of Machine Tool Design and Research, vol.25, issue.1, pp.15-32, 1985.
DOI : 10.1016/0020-7357(85)90054-X

N. Kim and S. Kobayashi, Blank design in rectangular cup drawing by an approximate method, International Journal of Machine Tool Design and Research, vol.26, issue.2, pp.125-135, 1986.
DOI : 10.1016/0020-7357(86)90213-1

Y. Q. Guo, J. L. Batoz, J. M. Detraux, and P. Duroux, Finite element procedures for strain estimations of sheet metal forming parts, International Journal for Numerical Methods in Engineering, vol.1, issue.8, pp.1385-1401, 1990.
DOI : 10.1007/978-94-009-1411-7

S. H. Park, J. W. Yoon, D. Y. Yang, and Y. H. Kim, Optimum blank design in sheet metal forming by the deformation path iteration method, International Journal of Mechanical Sciences, vol.41, issue.10, pp.1217-1232, 1990.
DOI : 10.1016/S0020-7403(98)00084-8

T. W. Ku, H. J. Lim, H. Choi, S. M. Hwang, and B. S. Kang, Implementation of backward tracing scheme of the FEM to blank design in sheet metal forming, Journal of Materials Processing Technology, vol.111, issue.1-3, pp.90-97, 2001.
DOI : 10.1016/S0924-0136(01)00518-0

H. Shim, K. Son, and K. Kim, Optimum blank shape design by sensitivity analysis, Journal of Materials Processing Technology, vol.104, issue.3, pp.191-199, 2000.
DOI : 10.1016/S0924-0136(00)00556-2

V. Vahdat, S. Santhanam, and Y. W. Chun, A numerical investigation on the use of drawbeads to minimize ear formation in deep drawing, Journal of Materials Processing Technology, vol.176, issue.1-3, pp.70-76, 2006.
DOI : 10.1016/j.jmatprotec.2006.01.017

V. Pegada, Y. Chun, and S. Santhanam, An algorithm for determining the optimal blank shape for the deep drawing of aluminium cups, J. Mater. Process. Technol, pp.125-126, 2002.

J. L. Chenot, E. Massoni, and L. Fourment, Inverse problems in finite element simulation of metal forming processes, Engineering Computations, vol.57, issue.2, pp.190-225, 1996.
DOI : 10.1016/0924-0136(92)90236-L

URL : https://hal.archives-ouvertes.fr/hal-01462125

L. Fourment, T. Balan, and J. L. Chenot, Optimum design of the hot forging process: A FE inverse model with remeshing for large deformation, Comput. Plasticity: Fund. and Appl, pp.804-809, 1997.

L. Fourment and J. L. Chenot, The inverse problem of design in forging, 2d Int. Symp. on Inverse Problems, pp.21-28, 1994.

L. Fourment and J. L. Chenot, OPTIMAL DESIGN FOR NON-STEADY-STATE METAL FORMING PROCESSES???I. SHAPE OPTIMIZATION METHOD, International Journal for Numerical Methods in Engineering, vol.37, issue.1, pp.33-65, 1996.
DOI : 10.1002/nme.1620370111

O. Ghouati, D. Joannic, and J. C. Gelin, Etude et optimisation des param??tres du proc??d?? pour le contr??le du retour ??lastique de pi??ces embouties, ième Col. Nat. Calcul des Structures, pp.729-734, 1997.
DOI : 10.1080/12506559.1998.11690477

O. Ghouati, D. Joannic, and J. C. Gelin, Optimisation of process parameters for the control of springback in deep drawing, Sim. Mat. Processing: Theory, Methods and Appl, pp.787-792, 1998.

O. Ghouati, H. Lenoir, and J. C. Gelin, Optimisation de procédés en emboutissage des tôles, pp.407-412, 1999.

O. Barlet, Contribution à l'optimisation de forme de pièces embouties pour l'industrie de l'automobile, Thèse de doctorat UTC, 1998.

O. Barlet, H. Naceur, J. L. Batoz, and C. Knopf-lenoir, Shape optimum design of blank contours using a simplified inverse approach, Sim. Mat. Processing: Theory, Methods and Appl, pp.787-792, 1998.

H. Naceur, Optimisation de forme de structures minces en présence de non linéarités géométriques et matérielles, Thèse de doctorat UTC, 1998.

C. Labergère, Contributions à la modélisation, à l'optimisation et au contrôle des procèdes d'hydroformage de tubes et flans, Thèse de doctorat, 2003.

H. Naceur, Y. Q. Guo, and J. L. Batoz, Blank optimization in sheet metal forming using an evolutionary algorithm, Journal of Materials Processing Technology, vol.151, issue.1-3, pp.183-191, 2004.
DOI : 10.1016/j.jmatprotec.2004.04.036

O. Ghouati, J. C. Gélin, and H. Lenoir, Process optimization in deep drawing " . Revue européenne des éléments finis, pp.2-3, 2000.

Y. Nakamura, T. Ohata, T. Katayama, and E. Nakamachi, Optimum die design for sheet metal forming process by finite element and discretized optimization methods, Sim. Mat. Processing: Theory, Methods and Appl, pp.787-792, 1998.

K. B. Nielsen, M. R. Jensen, and J. Danckert, Optimization of sheet metal forming processes using finite element simulations, Acta Mettalurgica (English Letters), vol.13, issue.2, pp.531-539, 2000.

R. T. Hafka and Z. , Elements of structural optimization, solid mechanics and its applications, 1992.

P. E. Gill, W. Murray, and M. H. Wright, Practical optimization, 1983.

R. Fletcher, Practical methods of optimization, 1987.
DOI : 10.1002/9781118723203

P. T. Boggs, R. H. Byrd, and &. B. Schnabel, Numerical optimization, SIAM, 1985.

D. G. Luenberger, Linear and nonlinear programming, 1984.
DOI : 10.1007/978-3-319-18842-3

G. Farin, Curves and surfaces for computer aided geometric design Computer science and Scientific Computing, 1996.

C. Brezinski, Méthodes numériques de base, pp.1-220, 1989.

V. Braibant and C. Fleury, Shape optimal design using B-splines, Computer Methods in Applied Mechanics and Engineering, vol.44, issue.3, pp.247-267, 1984.
DOI : 10.1016/0045-7825(84)90132-4

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

M. G. 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 non-quadratic anisotropic yield functions. Part ?? : Characterization of material properties, Int. J. of Plasticity, vol.21, pp.883-914, 2005.

M. G. 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

L. Geng and R. H. Wagoner, Role of plastic anisotropy and its evolution on springback, International Journal of Mechanical Sciences, vol.44, issue.1, pp.123-148, 2002.
DOI : 10.1016/S0020-7403(01)00085-6

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

L. M. Geng and R. H. Wagoner, Springback analysis with a modified hardening model Sheet Metal Forming: Sing Tang 65 th Anniversary Volume, p.1536, 2000.

P. J. Armstrong and C. O. Frederick, A mathematical representation of the multiaxial Bauschinger effect, CEGB report RD, 1966.

J. L. Chaboche, Constitutive equations for cyclic plasticity and cyclic viscoplasticity, International Journal of Plasticity, vol.5, issue.3, pp.247-302, 1989.
DOI : 10.1016/0749-6419(89)90015-6

T. J. Hughes, Numerical implementation of constitutive models: rate-independent deviatoric plasticity, Martinus Nijhoff, 1984.

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, p.281, 1948.
DOI : 10.1098/rspa.1948.0045

R. Hill, The mathematical theory of plasticity, 1950.

F. Barlat and J. Lian, Plastic behavior and stretchability of sheet metals. Part I: A yield function for orthotropic sheets under plane stress conditions, International Journal of Plasticity, vol.5, issue.1, pp.51-66, 1989.
DOI : 10.1016/0749-6419(89)90019-3

F. Barlat, Y. Maeda, K. Chung, M. Yanagawa, J. C. Brem et al., Yield function development for aluminum alloy sheets, Journal of the Mechanics and Physics of Solids, vol.45, issue.11-12, pp.45-1727, 1997.
DOI : 10.1016/S0022-5096(97)00034-3

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

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

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

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

D. Joannic, Modélisation mécanique et simulation numérique du retour élastique en emboutissage des tôles minces et optimisation paramétriques, Thèse de doctorat, Université de Franche-Comté des Sciences et Techniques, 1998.

. Haddag-b, Contribution à la modélisation de la mise en forme des tôles métalliques : application au retour élastique et à la localisation, Thèse de doctorat, Ecole Nationale Supérieure d'Arts et Métiers, 2005.

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

T. Kuwabara, S. Takahashi, and . Ito-k, Springback analysis of sheet metal subject to bending-unbending under tension, Part ?? (experimental verification) " , Advanced Technology of plasticity, Proceedings of the 5 th ICTP, pp.747-750

K. Mori, K. Akita, and Y. Abe, Springback behaviour in bending of ultra-high-strength steel sheets using CNC servo press, International Journal of Machine Tools and Manufacture, vol.47, issue.2, pp.321-325, 2007.
DOI : 10.1016/j.ijmachtools.2006.03.013

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

L. Focellese, F. Fratini, G. Micari, and F. , The evaluation of springback in 3D stemping and coining processes, J. Mater. Process. Technol, pp.80-81, 1998.

N. Narasimhan and M. Lovell, Predicting springback in sheet metal forming: an explicit to implicit sequential solution procedure, Finite Elements in Analysis and Design, vol.33, issue.1, pp.29-42, 1999.
DOI : 10.1016/S0168-874X(99)00009-8

F. Pourboghart and E. Chu, Springback in plane strain stretch/draw sheet forming, International Journal of Mechanical Sciences, vol.37, issue.3, pp.327-341, 1995.
DOI : 10.1016/0020-7403(95)93523-9

S. C. Tang, Application of an anisotropic hardening rule to springback prediction, Advanced technology of plasticity (Proceedings of the 5th ICTP), pp.719-741, 1996.

T. Kuwabara, N. Seki, and S. A. Takahashi, Rigorous numerical analysis of residual curvature of sheet metals subjected to bending?unbending under tension, Advanced technology of plasticity, pp.1071-1076, 1999.

S. S. Han and K. C. Park, An investigation of the factors influencing springback by empirical and simulative techniques, Proceedings of Numisheet'99, pp.53-60, 1999.

O. Ghouati and J. C. Gelin, Sensitivity analysis and optimization of shape and process parameters in metal forming, Engineering Systems Design and Analysis Conference, vol.3, pp.221-226, 1996.

J. C. Gelin, O. Ghouati, and D. Joannic, Shape and process parameters optimization for the accurate cpntrol of springback in sheet metal forming, Proceedings of the 4 th International Conference of sheet Metal, pp.3-14, 1996.

O. Ghouati, J. C. Gélin, and H. Lenoir, Process optimization in deep drawing " . Revue européenne des éléments finis, pp.129-149, 2000.

R. D. Webb and D. E. Hardt, A Transfer Function Description of Sheet Metal Forming for Process Control, Journal of Manufacturing Science and Engineering, vol.113, issue.1, pp.44-52, 1991.
DOI : 10.1115/1.2899621

A. P. Karafillis and M. C. Boyce, Tooling design in sheet metal forming using springback calculations, International Journal of Mechanical Sciences, vol.34, issue.2, pp.113-144, 1992.
DOI : 10.1016/0020-7403(92)90077-T

A. P. Karafillis and M. C. Boyce, Tooling design accomodating springback errors, Journal of Materials Processing Technology, vol.32, issue.1-2, pp.499-508, 1992.
DOI : 10.1016/0924-0136(92)90206-8

A. P. Karafillis and M. C. Boyce, Tooling and binder design for sheet metal forming processes compensating springback error, International Journal of Machine Tools and Manufacture, vol.36, issue.4, pp.503-529, 1996.
DOI : 10.1016/0890-6955(95)00023-2

L. Wu, C. Du, and L. Zhang, Iterative FEM die surface design to compensate for springback in sheet metal stampings, Numiform'95, Simulation of Materials Processing, pp.637-641, 1995.

W. Gan and R. H. Wagoner, Die design method for sheet springback, International Journal of Mechanical Sciences, vol.46, issue.7, pp.1097-1113, 2004.
DOI : 10.1016/j.ijmecsci.2004.06.006

F. Lan, J. Chen, and J. Lin, A method of constructing smooth tool surfaces for FE prediction of springback in sheet metal forming, Journal of Materials Processing Technology, vol.177, issue.1-3, pp.382-385, 2006.
DOI : 10.1016/j.jmatprotec.2006.04.092

R. Lingbeek, J. Huétink, S. Ohnimus, M. Petzoldt, and J. Weiher, The development of a finite elements based springback compensation tool for sheet metal products, Journal of Materials Processing Technology, vol.169, issue.1, pp.115-125, 2005.
DOI : 10.1016/j.jmatprotec.2005.04.027

S. Cheng, H. Cao, J. , C. Xia, and Z. , An accelerated springback compensation method, International Journal of Mechanical Sciences, vol.49, issue.3, pp.267-279, 2007.
DOI : 10.1016/j.ijmecsci.2006.09.008

Y. Tozawa, Forming technology for raising the accuracy of sheet-formed products, Journal of Materials Processing Technology, vol.22, issue.3, pp.343-351, 1990.
DOI : 10.1016/0924-0136(90)90020-U

Y. C. Liu, The Effect of Restraining Force on Shape Deviations in Flanged Channels, Journal of Engineering Materials and Technology, vol.110, issue.4, pp.389-394, 1988.
DOI : 10.1115/1.3226067

M. Sunseri, J. Cao, A. P. Karafillis, and M. C. Boyce, Accommodation of Springback Error in Channel Forming Using Active Binder Force Control: Numerical Simulations and Experiments, Journal of Engineering Materials and Technology, vol.22, issue.3, pp.426-435, 1996.
DOI : 10.1115/1.2806830

J. L. Batoz and G. Dhatt, Modélisation des structures par éléments finis ? poutres et plaques, 1990.
DOI : 10.1002/nme.1620372312

F. Yoshida, M. Urabe, and V. V. Toropov, Identification of material parameters in constitutive model for sheet metals from cyclic bending tests, International Journal of Mechanical Sciences, vol.40, issue.2-3, pp.237-249, 1998.
DOI : 10.1016/S0020-7403(97)00052-0

K. M. Zhao and J. K. Lee, Generation of Cyclic Stress-Strain Curves for Sheet Metals, Journal of Engineering Materials and Technology, vol.48, issue.4, pp.391-397, 2001.
DOI : 10.1017/CBO9781139167970.009

M. Brunet, F. Morestin, and S. Godereaux, Non-linear kinematic hardening identification for anisotropic sheet-metals with bending-unbending tests, Proceedings of the ASME Manufacturing in Engineering Division, pp.599-604, 2000.
URL : https://hal.archives-ouvertes.fr/hal-00508150

S. Gallée, Caractérisation expérimentale et simulation numérique des procédés d'emboutissage profond : application aux aciers inoxydables austénitiques, Thèse de doctorat, 2005.

C. Lange, Etude physique et modélisation numérique du procédé de sertissage de pièces de carrosserie, Thèse de Doctorat, 2006.