. Bouaziz, High manganese austenitic twinning induced plasticity steels: A review of the microstructure properties relationships, Current Opinion in Solid State and Materials Science, vol.15, issue.4, pp.141-168, 2011.
DOI : 10.1016/j.cossms.2011.04.002
URL : https://hal.archives-ouvertes.fr/hal-00607330

. Lee, On the origin of dynamic strain aging in twinning-induced plasticity steels, Acta Materialia, vol.59, issue.17, pp.6809-6819, 2011.
DOI : 10.1016/j.actamat.2011.07.040

. Bayraktar, Deformation and fracture behaviour of high manganese austenitic steel, Journal of Materials Processing Technology, vol.147, issue.2, pp.145-154, 2004.
DOI : 10.1016/j.jmatprotec.2003.10.007

]. G. Scavino, F. D-'aiuto, P. Matteis, P. Russo-spena, and D. Firrao, Plastic Localization Phenomena in a Mn-Alloyed Austenitic Steel, Metallurgical and Materials Transactions A, vol.28, issue.389, pp.41-1493, 2010.
DOI : 10.1007/s11661-010-0191-9

. Idrissi, On the relationship between the twin internal structure and the work-hardening rate of TWIP steels, Scripta Materialia, vol.63, issue.10, pp.961-964, 2010.
DOI : 10.1016/j.scriptamat.2010.07.016

. Gutierrez-urrutia, The effect of grain size and grain orientation on deformation twinning in a Fe-22wt.% Mn-0, 2010.

]. D. Barbier, N. Gey, S. Allain, N. Bozzolo, and M. Humbert, Analysis of the tensile behavior of a TWIP steel based on the texture and microstructure evolutions, Materials Science and Engineering: A, vol.500, issue.1-2, pp.196-206, 2009.
DOI : 10.1016/j.msea.2008.09.031

]. L. Xu, F. Barlat, and M. Lee, Hole expansion of twinning-induced plasticity steel, Scripta Materialia, vol.66, issue.12, 2012.
DOI : 10.1016/j.scriptamat.2012.01.062

T. J. Dorn, E. G. Dorn, and . Thomsen, The ductility of metals under general conditions of stress and strain, Trans. Am. Soc. Met, pp.39-741, 1947.

]. H. Swift, Plastic instability under plane stress, Journal of the Mechanics and Physics of Solids, vol.1, issue.1, pp.1-180022, 1952.
DOI : 10.1016/0022-5096(52)90002-1

]. 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.19-300022, 1952.
DOI : 10.1016/0022-5096(52)90003-3

K. Marciniak, K. Marciniak, and . Kuczynski, Limit strains in the processes of stretch-forming sheet metal, International Journal of Mechanical Sciences, vol.9, issue.9, pp.609-6120020, 1967.
DOI : 10.1016/0020-7403(67)90066-5

. Cooman, Review of the mechanical properties of high strength, high-Mn TWIP steels for automotive appications, International Conference on New Developments on Metallurgy and Applications of High Strength Steels, pp.26-28, 2008.

. Wang, Portevin???Le Chatelier (PLC) instabilities and slant fracture in C???Mn steel round tensile specimens, Scripta Materialia, vol.64, issue.5, pp.430-433, 2011.
DOI : 10.1016/j.scriptamat.2010.11.005
URL : https://hal.archives-ouvertes.fr/hal-00579436

. Allain, The influence of plastic instabilities on the mechanical properties of a high-manganese austenitic FeMnC steel, International Journal of Materials Research, vol.99, issue.7, pp.734-738, 2008.
DOI : 10.3139/146.101693

]. J. Lorthios, F. Nguyen, A. Gourgues, T. F. Morgeneyer, and P. Cugy, Damage observation in a high-manganese austenitic TWIP steel by synchrotron radiation computed tomography, Scripta Materialia, vol.63, issue.12, pp.1220-1223, 2010.
DOI : 10.1016/j.scriptamat.2010.08.042
URL : https://hal.archives-ouvertes.fr/hal-00541294

. Abbasi, The fracture and plastic deformation of aluminum alloyed Hadfield steels, Materials Science and Engineering: A, vol.513, issue.514, pp.513-514, 2009.
DOI : 10.1016/j.msea.2009.02.023

]. A. Beese, M. Luo, Y. Li, Y. Bai, and T. Wierzbicki, Partially coupled anisotropic fracture model for aluminum sheets, Engineering Fracture Mechanics, vol.77, issue.7, pp.1128-1152, 2010.
DOI : 10.1016/j.engfracmech.2010.02.024

. Scott, The development of a new Fe-Mn-C austenitic steel for automotive applications, Proc MS&T 2005 Conf. USA: Pittsburgh; 2005, pp.1012-1023, 2005.
DOI : 10.1051/metal:2006142

]. Yen, M. Huang, C. P. Scott, and J. Yang, Martensitische Umwandlungen in austenitischen Mangan?Kohlenstoff?Stählen Interactions between deformationinduced defects and carbides in a vanadium-containing TWIP steel, Neue Hütte Scr. Mater, vol.17, issue.66, pp.605-609, 1972.

. Scott, Precipitation strengthening in high manganese austenitic TWIP steels, International Journal of Materials Research, vol.102, issue.5, pp.538-549, 2011.
DOI : 10.3139/146.110508
URL : https://hal.archives-ouvertes.fr/hal-00693756

. Mathon, Hydrogen trapping by VC precipitates and structural defects in a high strength Fe?Mn?C steel studied by small-angle neutron scattering, Mater. Sci. Eng, pp.536-110, 2012.
URL : https://hal.archives-ouvertes.fr/hal-00728130

. Dastur, Mechanism of Work Hardening in Hadfield Manganese Steel Strain aging of austenitic Hadfield manganese steel, Metall. Trans. A Acta Mater, vol.47, issue.98, pp.12-749, 1981.

. Canadinc, On the negative strain rate sensitivity of Hadfield steel Characterisation of the Portevin-Le Châtelier effect affecting an austenitic TWIP steel based on digital image correlation, Scr. Mater. Mater. Sci. Eng, vol.59, pp.1103-1106, 2008.

]. T. Lebedkina, M. A. Lebyodkin, J. P. Chateau, A. Jacques, and S. Allain, On the mechanism of unstable plastic flow in an austenitic FeMnC TWIP steel, Materials Science and Engineering: A, vol.519, issue.1-2, pp.147-154, 2009.
DOI : 10.1016/j.msea.2009.04.067

]. P. Zavattieri, V. Savic, L. G. Hector, J. R. Jr, W. Fekete et al., Spatio-temporal characteristics of the Portevin???Le Ch??telier effect in austenitic steel with twinning induced plasticity, International Journal of Plasticity, vol.25, issue.12, 2009.
DOI : 10.1016/j.ijplas.2009.02.008

A. Software, Optical 3D Deformation Analysis, Gesellschaft für Optische Messtechnik mbH, 2015.

]. M. Brünig, O. Chyra, D. Albrecht, L. Driemeier, and M. Alves, A ductile damage criterion at various stress triaxialities, International Journal of Plasticity, vol.24, issue.10, pp.1731-1755, 2008.
DOI : 10.1016/j.ijplas.2007.12.001

]. O. Bouaziz, S. Allain, and Y. Estrin, Effect of pre-strain at elevated temperature on strain hardening of twinning-induced plasticity steels, Scripta Materialia, vol.62, issue.9, pp.713-715, 2010.
DOI : 10.1016/j.scriptamat.2010.01.040

. Bouaziz, Effect of grain and twin boundaries on the hardening mechanisms of twinning-induced plasticity steels, Scripta Materialia, vol.58, issue.6, pp.484-487, 2008.
DOI : 10.1016/j.scriptamat.2007.10.050

]. A. Dumay, Improving physical and mechanical properties of FeMnXC TWIP steels - Influence of solid solution, precipitation hardening and composite effect, 2008.

. Besson, ]. J. Foerch, R. Besson, and . Foerch, Large scale object-oriented finite element code design, Computer Methods in Applied Mechanics and Engineering, vol.142, issue.1-2, pp.165-187, 1997.
DOI : 10.1016/S0045-7825(96)01124-3

. Allain, Modeling of mechanical twinning in a high manganese content austenitic steel, Materials Science and Engineering: A, vol.387, issue.389, pp.387-389, 2004.
DOI : 10.1016/j.msea.2004.05.038

]. J. Gil-sevillano and . Sevillano, An alternative model for the strain hardening of FCC alloys that twin, validated for twinning-induced plasticity steel, Scripta Materialia, vol.60, issue.5, pp.336-339, 2009.
DOI : 10.1016/j.scriptamat.2008.10.035

. Soulami, On deformation twinning in a 17, 2011.

. Favier, . V. Barbier, D. Favier, and . Barbier, Micromechanical modelling of twinning-induced plasticity steels, Scripta Materialia, vol.66, issue.12, pp.972-977, 2012.
DOI : 10.1016/j.scriptamat.2011.12.017
URL : https://hal.archives-ouvertes.fr/hal-01203330

?. Saeed, T. Akbari, F. Hickel, D. Roters, and . Raabe, Revealing the strain-hardening behavior of twinninginduced plasticity steels: Theory, simulations, experiments, Acta Mater, vol.61, pp.494-510, 2013.

]. F. Liu, W. J. Dan, and W. G. Zhang, Strain hardening model of twinning induced plasticity steel at different temperatures, Materials & Design (1980-2015), vol.65, pp.737-742, 2015.
DOI : 10.1016/j.matdes.2014.10.008

]. 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.693-7120749, 1991.
DOI : 10.1016/0749-6419(91)90052-Z

. Bron, ]. F. Besson, J. Bron, and . Besson, A yield function for anisotropic materials Application to aluminum alloys, International Journal of Plasticity, vol.20, issue.4-5, pp.937-963, 2004.
DOI : 10.1016/j.ijplas.2003.06.001
URL : https://hal.archives-ouvertes.fr/hal-00165873

. Laurent, Influence of constitutive model in springback prediction using the split-ring test, International Journal of Mechanical Sciences, vol.51, issue.3, pp.533-545, 2009.
DOI : 10.1016/j.ijmecsci.2008.12.010
URL : https://hal.archives-ouvertes.fr/hal-00400919

. Shinohara, A combined phenomenological model for the representation of anisotropic hardening behavior in high strength steel line pipes, Eur, J. Mech, 2010.

]. I. Vladimirov, M. P. Pietryga, and S. Reese, Anisotropic finite elastoplasticity with nonlinear kinematic and isotropic hardening and application to sheet metal forming, International Journal of Plasticity, vol.26, issue.5, pp.659-687, 2010.
DOI : 10.1016/j.ijplas.2009.09.008

]. W. Hosford, On yield loci of anisotropic cubic metals, Proc. 7th North Am, 1979.

M. Conf, Society of Manufacturing Engineers, pp.191-196, 1979.

]. W. Sorry and . Hosford, Comments on anisotropic yield criteria, Int. J. Mech. Sci, vol.2785, pp.423-4270020, 1985.

H. W. Logan, W. F. Logan, and . Hosford, Upper-bound anisotropic yield locus calculations assuming ???111???-pencil glide, International Journal of Mechanical Sciences, vol.22, issue.7, pp.419-4300020, 1980.
DOI : 10.1016/0020-7403(80)90011-9

]. C. Busch, A. Hatscher, M. Otto, S. Huinink, M. Vucetic et al., Properties and application of high-manganese TWIP-steels in sheet metal forming, Procedia Eng, pp.939-944, 2014.

]. J. Lorthios, Damage of TWIP steels for automotive applications, 2011.

G. Dell, H. Dell, and . Gese, Private technical report, 2007.

. Hooputra, A comprehensive failure model for crashworthiness simulation of aluminium extrusions, International Journal of Crashworthiness, vol.4, issue.5, pp.449-4630289, 2004.
DOI : 10.1016/j.ijimpeng.2004.04.004

. Dell, In: Users' manual: MF GenYld + CrachFEM: theory, version 3, p.20, 2008.

. Wierzbicki, Calibration and evaluation of seven fracture models, International Journal of Mechanical Sciences, vol.47, issue.4-5, pp.719-743, 2005.
DOI : 10.1016/j.ijmecsci.2005.03.003

]. A. Zadpoor, J. Sinke, and R. Benedictus, Formability prediction of high strength aluminum sheets, International Journal of Plasticity, vol.25, issue.12, pp.2269-2297, 2009.
DOI : 10.1016/j.ijplas.2009.02.005

]. F. Mcclintock, A Criterion for Ductile Fracture by the Growth of Holes, Journal of Applied Mechanics, vol.35, issue.2, pp.363-371, 1968.
DOI : 10.1115/1.3601204

R. , T. Rice, and D. M. Tracey, On the ductile enlargement of voids in triaxial stress fields, J. Mech. Phys. Sol, vol.1769, pp.201-2170022, 1969.

. Oyane, Criteria for ductile fracture and their applications, Journal of Mechanical Working Technology, vol.4, issue.1, pp.65-810378, 1980.
DOI : 10.1016/0378-3804(80)90006-6

W. Xue, T. Xue, and . Wierzbicki, Ductile fracture initiation and propagation modeling using damage plasticity theory, Engineering Fracture Mechanics, vol.75, issue.11, pp.3276-3293, 2008.
DOI : 10.1016/j.engfracmech.2007.08.012

. Bai, ]. Y. Wierzbicki, T. Bai, and . Wierzbicki, Application of extended Mohr???Coulomb criterion to ductile fracture, International Journal of Fracture, vol.37, issue.7, pp.1-20, 2010.
DOI : 10.1007/s10704-009-9422-8

R. W. Rudnicki, J. R. Rudnicki, and . Rice, Conditions for the localization of deformation in pressure-sensitive dilatant materials, Journal of the Mechanics and Physics of Solids, vol.23, issue.6, pp.371-3940022, 1975.
DOI : 10.1016/0022-5096(75)90001-0

R. Needleman, J. R. Needleman, and . Rice, Limits to Ductility Set by Plastic Flow Localization, pp.237-265, 1978.
DOI : 10.1007/978-1-4613-2880-3_10