M. Dunand and &. D. Mohr, Hybrid experimental???numerical analysis of basic ductile fracture experiments for sheet metals, International Journal of Solids and Structures, vol.47, issue.9, pp.1130-1143, 2010.
DOI : 10.1016/j.ijsolstr.2009.12.011
URL : https://hal.archives-ouvertes.fr/hal-00620568

M. Dunand, A. Maertens, M. Luo, and &. D. Mohr, Experiments and modeling of anisotropic aluminum extrusions under multi-axial loading ??? Part I: Plasticity, International Journal of Plasticity, vol.36, pp.35-49, 2012.
DOI : 10.1016/j.ijplas.2012.03.003
URL : https://hal.archives-ouvertes.fr/hal-00826125

]. M. Dunand, G. Gary, and &. D. Mohr, Load-Inversion Device for the High Strain Rate Tensile Testing of Sheet Materials with Hopkinson Pressure Bars, Experimental Mechanics, vol.47, issue.9, 2013.
DOI : 10.1007/s11340-013-9712-y
URL : https://hal.archives-ouvertes.fr/hal-00871616

M. Dunand, D. Mohr, and &. K. Ravi-chandar, Shear Fracture of Advanced High Strength Steel: Fractography and Micromechanical modeling Rate-dependent behavior of Advanced High Strength steels under multi-axial loading: characterization and modeling at large strains

M. Dunand and &. D. Mohr, Effect of Lode parameter on plastic flow localization at low stress triaxialities

]. D. Mohr, F. Ebnoether, and M. Dunand, Plasticity of Aluminum Extrusions under Combined Normal and Shear Loading Plasticity and Fracture of Advanced High Strength Steel Sheets under Combined Tensile and Shear Loading, Conference proceedings Proc. 15 th International Symposium on Plasticity in St Thomas, USVI Dynamic Behavior of Materials, pp.147-154, 2009.

M. Dunand and &. D. Mohr, Ductile Fracture of TRIP780 Sheets under Multi-axial Loading, Proceedings of the 10 th Int. Conf. on Numerical Methods in Industrial Forming Processes Dedicated to Pr. O.C. Zienkiewicz in Pohang, Republic of Korea, pp.1295-1302, 2010.
DOI : 10.1063/1.3457532

D. Mohr, M. Dunand, and &. D. Mohr, On the limitations of Shear-modified Gurson models: Comparison of numerical predictions with experimental results for ductile fracture under combined tension and shear loading Ductile fracture of AHSS sheets under multi-axial loading: experiments and modeling, Proc. 17 th International Symposium on Plasticity in Puerto VallartaProceedings of the 8 th Int. Conf. on Numerical Simulation of 3D sheet metal forming processes in Seoul, Republic of Korea, pp.484-491, 2011.

M. Dunand and &. D. Mohr, On the modeling of damage and ductile fracture in advanced high strength steel sheets using void cell calculations, Proceedings of the 23 rd International Congress of Theoretical and Applied Mechanics in, 2007.

M. Dunand, &. D. Mohr, M. Dunand, &. D. Mohr, M. Dunand et al., High strain rate tensile testing of sheet materials using three Hopkinson pressure bars Effect of Strain Rate and Stress State on the Ductile Fracture of AHSS Sheets: a Micromechanical Analysis Application of shell-to-solid re-meshing to accurate ductile fracture predictions in Advanced High Strength steel sheets, Proceedings of the 10 th International DYMAT Conference in Freiburg Proceedings of the International Deep Drawing Research Group 12' Conference in Mumbai Proceedings of the 3 rd International Conference on Engineering against Failure in Kos, 2012.

M. Dunand, &. D. Mohr, M. Dunand, &. D. Mohr, M. Dunand et al., Determination of ductile fracture properties of TRIP steel using notched tensile specimens Onset of Fracture in Advanced High Strength Steels Under Multi-axial Loading " , ASME Exposition and Congress, Lake Buena Vista, USA Assessment of the accuracy of selected fracture experiments " , 6th MIT Workshop on Experimental and Computational Fracture Mechanics in Cambridge Standardized fracture model identification procedure based on butterfly experiments Ductile fracture of TRIP780 steel under multi-axial loading Comparison of the performances of the MMC fracture model with shear modified Gurson models Ductile fracture under multi-axial loadings: Comparison of numerical predictions with experimental results Ductile fracture of AHSS sheets under multi-axial loadings: Experiments and modeling, Plasticity of Aluminum extrusions under combined and shear loading 15th International Symposium on Plasticity in St Thomas, USVI 6th MIT Workshop on Experimental and Computational Fracture Mechanics in Cambridge, USA 10th Int. Conf. on Numerical Methods in Industrial Forming Processes in Pohang 7th MIT Workshop on Experimental and Computational Fracture Mechanics in Cambridge 17th International Symposium on Plasticity in Puerto Vallarta 8th International Conference on Numerical Simulation of 3D sheet metal forming processes in Seoul, 2009.

M. Dunand, G. Gary, and &. D. Mohr, A Hybrid Experimental-numerical Method to Characterize the Effect of Strain Rate on Sheet Metal Fracture, 8th International Conference on Numerical Simulation of 3D sheet metal forming processes in Seoul, 2011.

M. Dunand, G. Gary, and &. D. Mohr, A new SHPB technique to study strain rate dependent fracture, 8th MIT Workshop on Experimental and Computational Fracture Mechanics in Cambridge, 2011.

M. Dunand and &. D. Mohr, Microscopic Analysis of the fracture mechanisms of AHSS " , Interim meeting of the MIT/Industry Fracture Consortium, 2012.

M. Dunand and &. D. Mohr, Reliable procedure for high strain rate tensile testing of sheet materials " , Interim meeting of the MIT/Industry Fracture Consortium, 2012.

M. Dunand and &. D. Mohr, Ductile fracture mechanisms: micro-analysis and modeling " , 5th Forming Technology Forum in ETH Zurich, 2012.

M. Dunand and &. D. Mohr, Microscopic analysis of the fracture mechanisms of Advanced High Strength Steel sheets, Jean Mandel Symposium on Damage and Rupture, 2012.

M. Dunand and &. D. Mohr, Experimental and numerical investigations of the damage and ductile fracture mechanisms in TRIP steel sheets, 8th European Solid Mechanics Conference in Graz, Austria, 2012.

M. Dunand and &. D. Mohr, On the modeling of damage and ductile fracture in Advanced High Strength Steel sheets using void cell caclulations, 23rd International Congress of Theoretical and Applied Mechanics in, 2012.

M. Dunand, G. Gary, and D. Mohr, High strain rate tensile testing of sheet materials using split Hopkinson Pressure bars, 10th International DYMAT Conference in Freiburg, 2012.

M. Dunand and &. A. Kamoulakos, Application of shell-to-solid re-meshing to accurate ductile fracture predictions in AHSS sheets, 9th MIT Workshop on Experimental and Computational Fracture Mechanics in Cambridge, 2012.

M. Dunand and &. D. Mohr, Rate-dependent plasticity of AHSS: model formulation and experimental validation, 9th MIT Workshop on Experimental and Computational Fracture Mechanics in Cambridge, 2012.

C. Roth and &. M. Dunand, Effect of strain rate on the fracture of DP590, 9th MIT Workshop on Experimental and Computational Fracture Mechanics in Cambridge, 2012.

M. Dunand, G. Gary, and &. D. Mohr, Hybrid experimental-numerical characterization of the effect of strain rate on the ductile fracture properties of AHSS sheets, Journée des Doctorants ? LMS, 2012.

M. Dunand and &. D. Mohr, Effect of stress state and strain rate on the ductile fracture of AHSS sheets, International Deep Drawing Research Group Conference in Mumbai, vol.12, 2012.

M. Dunand and &. D. Mohr, Prediction of shear localization in AHSS " , Interim meeting of the MIT/Industry Fracture Consortium, 2013.

M. Dunand and &. D. Mohr, Coupled rate and temperature dependent plasticity model for AHSS " , Interim meeting of the MIT/Industry Fracture ConsortiumReference manual v6, Abaqus, vol.1, issue.11, 2011.

F. Abed and F. Makarem, Comparisons of Constitutive Models for Steel Over a Wide Range of Temperatures and Strain Rates, Journal of Engineering Materials and Technology, vol.134, issue.2, 2012.
DOI : 10.1115/1.4006171

C. Albertini and M. Montagnani, Testing technique based on the split hopkinson pressure bar", in Mechanical Properties at high rates of strain, The Institute of Physics, 1974.

T. Angel, Formation of martensite in austenitic stainless steels, effect of deformation, temperature and composition, Journal of the Iron and Steel Institute, p.165, 1954.

Y. Bai and T. Wierzbicki, A new model of metal plasticity and fracture with pressure and Lode dependence, International Journal of Plasticity, vol.24, issue.6, pp.1071-1096, 2008.
DOI : 10.1016/j.ijplas.2007.09.004

Y. L. Bai and T. 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

S. Balasubramanian and L. Anand, Elasto-viscoplastic constitutive equations for polycrystalline fcc materials at low homologous temperatures, Journal of the Mechanics and Physics of Solids, vol.50, issue.1, pp.101-126, 2002.
DOI : 10.1016/S0022-5096(01)00022-9

D. Banabic, H. J. Bunge, K. Pöhlandt, A. Tekkaya-berlin, M. et al., Formability of Metallic MaterialsSimulation of springback and wrinkling in stamping of a dual phase steel rail-shaped part, Journal of Materials Processing Technology, vol.173, issue.2, pp.178-184, 2000.

Y. Bao and T. Wierzbicki, A Comparative Study on Various Ductile Crack Formation Criteria, Journal of Engineering Materials and Technology, vol.126, issue.3, pp.314-324, 2004.
DOI : 10.1115/1.1755244

A. Bareggi, E. Maire, O. Bouaziz, and M. D. Michiel, Damage in dual phase steels and its constituents studied by X-ray tomography, International Journal of Fracture, vol.18, issue.3, pp.217-227, 2012.
DOI : 10.1007/s10704-012-9692-4

S. H. Pourgoghrat, E. Choi, and . Chu, Plane stress yield function for aluminum alloy sheets -part 1: theory", International Journal of Plasticity, vol.19, issue.9, pp.1297-1319, 2003.

I. Barsoum and J. Faleskog, Rupture mechanisms in combined tension and shear???Micromechanics, International Journal of Solids and Structures, vol.44, issue.17, pp.5481-5498, 2007.
DOI : 10.1016/j.ijsolstr.2007.01.010

I. Barsoum and J. Faleskog, Rupture mechanisms in combined tension and shear???Experiments, International Journal of Solids and Structures, vol.44, issue.6, pp.1768-1786, 2007.
DOI : 10.1016/j.ijsolstr.2006.09.031

I. Barsoum and J. Faleskog, Micromechanical analysis on the influence of the Lode parameter on void growth and coalescence, International Journal of Solids and Structures, vol.48, issue.6, pp.925-938, 2011.
DOI : 10.1016/j.ijsolstr.2010.11.028

A. A. Benzerga, Micromechanics of coalescence in ductile fracture, Journal of the Mechanics and Physics of Solids, vol.50, issue.6, pp.1331-1362, 2002.
DOI : 10.1016/S0022-5096(01)00125-9

A. A. Benzerga, J. Besson, and A. Pineau, Anisotropic ductile fracture, Acta Materialia, vol.52, issue.15, pp.4639-4650, 2004.
DOI : 10.1016/j.actamat.2004.06.019
URL : https://hal.archives-ouvertes.fr/hal-00164239

A. A. Benzerga and J. B. Leblond, Ductile Fracture by Void Growth to Coalescence, Advances in Applied Mechanics, pp.169-305, 2010.
DOI : 10.1016/S0065-2156(10)44003-X

S. R. Bodner and Y. Partom, Constitutive Equations for Elastic-Viscoplastic Strain-Hardening Materials, Journal of Applied Mechanics, vol.42, issue.2, pp.385-389, 1975.
DOI : 10.1115/1.3423586

W. Brocks, D. Z. Sun, and A. Honig, Verification of the transferability of micromechanical parameters by cell model calculations with visco-plastic materials, International Journal of Plasticity, vol.11, issue.8, pp.971-989, 1995.
DOI : 10.1016/S0749-6419(95)00039-9

G. B. Broggiato, F. Campana, and L. Cortese, The Chaboche nonlinear kinematic hardening model: calibration methodology and validation, Meccanica, vol.5, issue.2, pp.115-124, 2008.
DOI : 10.1007/s11012-008-9115-9

L. M. Brown and J. D. Embury, The initiation and growth of voids at second phase particles, Proceedings of the Third International Conference on Strength of Metals and Alloys. ICSMA 3, pp.164-169, 1973.

P. Brozzo, B. Deluca, and R. Rendina, A New Method for Prediction of Formability in Metal SheetsNumerical simulation of the large elastic-plastic deformation behavior of hydrostatic stress-sensitive solids, 7th biennial Conference of the IDDRG, pp.1237-1264, 1972.

M. Brunig, 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

M. Brunig and H. Obrecht, Finite elastic??????plastic deformation behaviour of crystalline solids based on a non-associated macroscopic flow rule, International Journal of Plasticity, vol.14, issue.12, pp.1189-1208, 1998.
DOI : 10.1016/S0749-6419(98)00047-3

M. Bussac, P. Collet, G. Gary, and R. Othman, An optimisation method for separating and rebuilding one-dimensional dispersive waves from multi-point measurements. Application to elastic or viscoelastic bars, Journal of the Mechanics and Physics of Solids, vol.50, issue.2, pp.321-349, 2002.
DOI : 10.1016/S0022-5096(01)00057-6
URL : https://hal.archives-ouvertes.fr/hal-00111348

J. Casey and T. D. Sullivan, Pressure dependency, strength-differential effect, and plastic volume expansion in metals, International Journal of Plasticity, vol.1, issue.1, pp.39-61, 1985.
DOI : 10.1016/0749-6419(85)90013-0

J. L. Chaboche, Continuum Damage Mechanics: Part I???General Concepts, Journal of Applied Mechanics, vol.55, issue.1, pp.59-64, 1988.
DOI : 10.1115/1.3173661

J. L. Chaboche, Continuum Damage Mechanics: Part II???Damage Growth, Crack Initiation, and Crack Growth, Journal of Applied Mechanics, vol.55, issue.1, pp.65-72, 1988.
DOI : 10.1115/1.3173662

J. L. Chaboche, A review of some plasticity and viscoplasticity constitutive theories, International Journal of Plasticity, vol.24, issue.10, pp.1642-1693, 2008.
DOI : 10.1016/j.ijplas.2008.03.009

P. Chen and M. Koc, Simulation of springback variation in forming of advanced high strength steels, Journal of Materials Processing Technology, vol.190, issue.1-3, pp.1-3, 2007.
DOI : 10.1016/j.jmatprotec.2007.02.046

C. C. Chu and A. Needleman, Void Nucleation Effects in Biaxially Stretched Sheets, Journal of Engineering Materials and Technology, vol.102, issue.3, pp.240-256, 1980.
DOI : 10.1115/1.3224807

S. E. Clift, P. Hartley, C. E. Sturgess, and G. W. Rowe, Fracture prediction in plastic deformation processes, International Journal of Mechanical Sciences, vol.32, issue.1, pp.1-17, 1990.
DOI : 10.1016/0020-7403(90)90148-C

M. G. Cockcrof and D. J. Latham, Ductility and the workability of metals, Journal of the Institute of Metals, vol.96, pp.33-39, 1968.

H. Conrad, Thermally activated deformation of metals, JOM, vol.9, issue.7, p.582, 1964.
DOI : 10.1002/pssb.19630030508

G. R. Cowper and P. S. Symonds, Strain hardening and strain rate effects in the impact loading of cantilever beams, of Appl. Mech, 1952.

S. Curtze, V. T. Kuokkala, M. Hokka, and P. Peura, Deformation behavior of TRIP and DP steels in tension at different temperatures over a wide range of strain rates, Materials Science and Engineering: A, vol.507, issue.1-2, pp.124-131, 2009.
DOI : 10.1016/j.msea.2008.11.050

V. Cvitanic, F. Vlak, and Z. Lozina, A finite element formulation based on non-associated plasticity for sheet metal forming, International Journal of Plasticity, vol.24, issue.4, pp.646-687, 2008.
DOI : 10.1016/j.ijplas.2007.07.003

K. Danas and P. P. Castaneda, Influence of the Lode parameter and the stress triaxiality on the failure of elasto-plastic porous materials, International Journal of Solids and Structures, vol.49, issue.11-12, pp.11-12, 2012.
DOI : 10.1016/j.ijsolstr.2012.02.006
URL : https://hal.archives-ouvertes.fr/hal-00755852

R. M. Davies, A Critical Study of the Hopkinson Pressure Bar, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.240, issue.821, pp.375-457, 1948.
DOI : 10.1098/rsta.1948.0001

L. Delannay, I. Doghri, and O. Pierard, Prediction of tensioncompression cycles in multiphase steel using a modified incremental mean-field model, International Journal of Solids and Structures, vol.44, pp.22-23, 2007.

L. Delannay, P. Jacques, and T. Pardoen, Modelling of the plastic flow of trip-aided multiphase steel based on an incremental mean-field approach, International Journal of Solids and Structures, vol.45, issue.6, pp.1825-1843, 2008.
DOI : 10.1016/j.ijsolstr.2007.10.026

J. Duffy, J. D. Campbell, and R. H. Hawley, On the Use of a Torsional Split Hopkinson Bar to Study Rate Effects in 1100-0 Aluminum, Journal of Applied Mechanics, vol.38, issue.1, pp.83-91, 1971.
DOI : 10.1115/1.3408771

M. Dunand and D. Mohr, Hybrid experimental???numerical analysis of basic ductile fracture experiments for sheet metals, International Journal of Solids and Structures, vol.47, issue.9, pp.1130-1143, 2010.
DOI : 10.1016/j.ijsolstr.2009.12.011
URL : https://hal.archives-ouvertes.fr/hal-00620568

M. Dunand and D. Mohr, On the predictive capabilities of the shear modified Gurson and the modified Mohr???Coulomb fracture models over a wide range of stress triaxialities and Lode angles, Journal of the Mechanics and Physics of Solids, vol.59, issue.7, pp.1374-1394, 2011.
DOI : 10.1016/j.jmps.2011.04.006
URL : https://hal.archives-ouvertes.fr/hal-00620573

M. Dunand and D. Mohr, Optimized butterfly specimen for the fracture testing of sheet materials under combined normal and shear loading, Engineering Fracture Mechanics, vol.78, issue.17, pp.2919-2934, 2011.
DOI : 10.1016/j.engfracmech.2011.08.008
URL : https://hal.archives-ouvertes.fr/hal-00826122

L. Durrenberger, J. R. Klepaczko, and A. Rusinek, Constitutive Modeling of Metals Based on the Evolution of the Strain-Hardening Rate, Journal of Engineering Materials and Technology, vol.129, issue.4, pp.550-558, 2007.
DOI : 10.1115/1.2772327

L. Durrenberger, A. Molinari, and A. Rusinek, Internal variable modeling of the high strain-rate behavior of metals with applications to multiphase steels, Materials Science and Engineering a-Structural Materials Properties Microstructure and Processing, pp.297-304, 2008.
DOI : 10.1016/j.msea.2007.06.011

M. K. Duszek and P. Perzyna, The localization of plastic deformation in thermoplastic solids, International Journal of Solids and Structures, vol.27, issue.11, pp.1419-1443, 1991.
DOI : 10.1016/0020-7683(91)90040-M

S. Ellwood, L. J. Griffiths, and D. J. Parry, A tensile technique for materials testing at high strain rates, Journal of Physics E: Scientific Instruments, vol.15, issue.11, p.1169, 1982.
DOI : 10.1088/0022-3735/15/11/011

F. D. Fischer, O. Kolednik, G. X. Shan, and F. G. Rammerstorfer, A note on calibration of ductile failure damage indicators, International Journal of Fracture, vol.43, issue.4, pp.345-357, 1995.
DOI : 10.1007/BF00027274

P. S. Follansbee and U. F. Kocks, A constitutive description of the deformation of copper based on the use of the mechanical threshold stress as an internal state variable, Acta Metallurgica, vol.36, issue.1, pp.81-93, 1988.
DOI : 10.1016/0001-6160(88)90030-2

X. Gao and J. Kim, Modeling of ductile fracture: Significance of void coalescence, International Journal of Solids and Structures, vol.43, issue.20, pp.6277-6293, 2006.
DOI : 10.1016/j.ijsolstr.2005.08.008

X. S. Gao, G. H. Zhang, and C. Roe, A Study on the Effect of the Stress State on Ductile Fracture, International Journal of Damage Mechanics, vol.19, issue.1, pp.75-94, 2010.

M. Garajeu, J. C. Michel, and P. Suquet, A micromechanical approach of damage in viscoplastic materials by evolution in size, shape and distribution of voids, Computer Methods in Applied Mechanics and Engineering, vol.183, pp.3-4, 2000.

W. M. Garrison-jr and N. R. Moody, Ductile fracture, Journal of Physics and Chemistry of Solids, vol.48, issue.11, pp.1035-1074, 1987.
DOI : 10.1016/0022-3697(87)90118-1

. Bibliography, G. Gary, R. Gerlach, S. K. Sathianathan, C. Siviour et al., DAVID Instruction ManualA novel method for pulse shaping of Split Hopkinson tensile bar signals, International Journal of Impact Engineering, vol.65, issue.3812, pp.976-980, 2005.

A. Gilat, T. Schmidt, and A. Walker, Full Field Strain Measurement in Compression and Tensile Split Hopkinson Bar Experiments, Experimental Mechanics, vol.31, issue.3, pp.291-302, 2009.
DOI : 10.1007/s11340-008-9157-x

M. Gologanu, J. B. Leblond, and J. Devaux, Approximate models for ductile metals containing non-spherical voids???Case of axisymmetric prolate ellipsoidal cavities, Journal of the Mechanics and Physics of Solids, vol.41, issue.11, pp.1723-1754, 1993.
DOI : 10.1016/0022-5096(93)90029-F

M. Gologanu, J. B. Leblond, and J. Devaux, Approximate Models for Ductile Metals Containing Nonspherical Voids???Case of Axisymmetric Oblate Ellipsoidal Cavities, Journal of Engineering Materials and Technology, vol.116, issue.3, pp.290-297, 1994.
DOI : 10.1115/1.2904290

G. W. Greenwood and R. H. Johnson, The Deformation of Metals Under Small Stresses During Phase Transformations, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.283, issue.1394, p.403, 1394.
DOI : 10.1098/rspa.1965.0029

A. L. 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

O. Guzman, D. J. Frew, and W. Chen, A Kolsky tension bar technique using a hollow incident tube, Measurement Science and Technology, vol.22, issue.4, 2011.
DOI : 10.1088/0957-0233/22/4/045703

S. S. Haltom, S. Kyriakides, and K. Ravi-chandar, Ductile failure under combined shear and tension, International Journal of Solids and Structures, vol.50, issue.10, 2013.
DOI : 10.1016/j.ijsolstr.2012.12.009

J. Harding, E. O. Wood, and J. D. Campbell, Tensile testing of materials at impact rates of strain, ARCHIVE: Journal of Mechanical Engineering Science 1959-1982 (vols 1-23), vol.2, issue.2, pp.88-96, 1959.
DOI : 10.1243/JMES_JOUR_1960_002_016_02

G. Haugou, E. Markiewicz, and J. Fabis, On the use of the non direct tensile loading on a classical split Hopkinson bar apparatus dedicated to sheet metal specimen characterisation, International Journal of Impact Engineering, vol.32, issue.5, pp.778-798, 2006.
DOI : 10.1016/j.ijimpeng.2005.07.015

G. Haugou, E. Markiewicz, J. Fabis, and G. Gary, Contribution to the definition of a partial overlapping plastic strain rates domain for moderate loadings ??? application to tensile testing on metallic materials, International Journal of Crashworthiness, vol.11, issue.2, pp.187-194, 2004.
DOI : 10.1016/S0924-0136(97)00436-6
URL : https://hal.archives-ouvertes.fr/hal-00111426

Z. He, Y. He, Y. Ling, Q. Wu, Y. Gao et al., Effect of strain rate on deformation behavior of TRIP steels, Journal of Materials Processing Technology, vol.212, issue.10, pp.2141-2147, 2012.
DOI : 10.1016/j.jmatprotec.2012.05.020

A. V. Hershey, Plasticity of isotropic aggregate of anisotropic facecentered cubic crystals, Journal of Applied Mechanics-Transactions of the Asme, vol.21, issue.3, pp.241-249, 1954.

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, 1033.
DOI : 10.1098/rspa.1948.0045

J. H. Hollomon, Tensile deformation, Transaction of AIME, vol.162, pp.268-290, 1945.

B. Hopkinson, A Method of Measuring the Pressure Produced in the Detonation of High Explosives or by the Impact of Bullets, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.213, issue.497-508, pp.437-452, 1914.
DOI : 10.1098/rsta.1914.0010

H. Huh, W. Kang, and S. Han, A tension split Hopkinson bar for investigating the dynamic behavior of sheet metals, Experimental Mechanics, vol.105, issue.5, pp.8-17, 2002.
DOI : 10.1007/BF02411046

. Bibliography, H. Huh, S. B. Kim, J. H. Song, and J. H. Lim, Dynamic tensile characteristics of TRIP-type and DP-type steel sheets for an auto-body, International Journal of Mechanical Sciences, vol.50, issue.5, pp.918-931, 2008.

J. Huh, H. Huh, and C. S. Lee, Effect of strain rate on plastic anisotropy of advanced high strength steel sheets, International Journal of Plasticity, vol.44, issue.0
DOI : 10.1016/j.ijplas.2012.11.012

A. A. Ilyushin, Plasticity. Foundations of the general mathematical theory, Moskva: Izd. AN SSSR (In Russian), 1963.

N. Jacques, S. Mercier, and A. Molinari, Effects of microscale inertia on dynamic ductile crack growth, Journal of the Mechanics and Physics of Solids, vol.60, issue.4, pp.665-690, 2012.
DOI : 10.1016/j.jmps.2011.12.010
URL : https://hal.archives-ouvertes.fr/hal-00671263

P. Jacques, Q. Furnemont, A. Mertens, and F. Delannay, On the sources of work hardening in multiphase steels assisted by transformationinduced plasticity, Philosophical Magazine a-Physics of Condensed Matter Structure Defects and Mechanical Properties, pp.1789-1812, 2001.

P. Jacques, Q. Furnémont, T. Pardoen, and F. Delannay, On the role of martensitic transformation on damage and cracking resistance in TRIP-assisted multiphase steels, Acta Materialia, vol.49, issue.1, pp.139-152, 2001.
DOI : 10.1016/S1359-6454(00)00215-9

G. R. Johnson and W. H. Cook, A constitutive model and data for metals subjected to large strains, high strain rates and high temperatures, Proceedings of the 7th International Symposium on Ballistics, pp.541-547, 1983.

G. R. Johnson and W. H. Cook, Fracture characteristics of three metals subjected to various strains, strain rates, temperatures and pressures, Engineering Fracture Mechanics, vol.21, issue.1, pp.31-48, 1985.
DOI : 10.1016/0013-7944(85)90052-9

J. Kajberg and K. G. Sundin, Material characterisation using high-temperature Split Hopkinson pressure bar, Journal of Materials Processing Technology, vol.213, issue.4, pp.522-531, 2013.
DOI : 10.1016/j.jmatprotec.2012.11.008

A. S. Khan, M. Baig, S. Choi, H. Yang, and X. Sun, Quasi-static and dynamic responses of advanced high strength steels: Experiments and modeling, International Journal of Plasticity, vol.30, issue.31, pp.30-31, 2012.
DOI : 10.1016/j.ijplas.2011.08.004

A. S. Khan and H. Liu, Strain rate and temperature dependent fracture criteria for isotropic and anisotropic metals, International Journal of Plasticity, vol.37, issue.0, pp.1-15, 2012.
DOI : 10.1016/j.ijplas.2012.01.012

A. S. Khan, Y. S. Suh, and R. Kazmi, Quasi-static and dynamic loading responses and constitutive modeling of titanium alloys, International Journal of Plasticity, vol.20, issue.12, pp.2233-2248, 2004.
DOI : 10.1016/j.ijplas.2003.06.005

J. Kim, D. Kim, H. N. Han, F. Barlat, and M. Lee, Strain rate dependent tensile behavior of advanced high strength steels: Experiment and constitutive modeling, Materials Science and Engineering: A, vol.559, pp.222-231, 2013.
DOI : 10.1016/j.msea.2012.08.087

U. F. Kocks, A. S. Argon, and M. F. Ashby, Thermodynamics and kinetics of slip, Progress in Material Science, pp.68-170, 1975.

H. Kolsky, An Investigation of the Mechanical Properties of Materials at very High Rates of Loading, Proceedings of the Physical Society, p.676, 1949.
DOI : 10.1088/0370-1301/62/11/302

J. Koplik and A. Needleman, Void growth and coalescence in porous plastic solids, International Journal of Solids and Structures, vol.24, issue.8, pp.835-853, 1988.
DOI : 10.1016/0020-7683(88)90051-0

M. Kothari and L. Anand, Elasto-viscoplastic constitutive equations for polycrystalline metals: Application to tantalum, Journal of the Mechanics and Physics of Solids, vol.46, issue.1, pp.51-67, 1998.
DOI : 10.1016/S0022-5096(97)00037-9

O. G. Lademo, O. S. Hopperstad, and M. Langseth, An evaluation of yield criteria and flow rules for aluminium alloys, International Journal of Plasticity, vol.15, issue.2, pp.191-208, 1999.
DOI : 10.1016/S0749-6419(98)00064-3

J. B. Leblond and M. Gologanu, External estimate of the yield surface of an arbitrary ellipsoid containing a confocal void, Comptes Rendus M??canique, vol.336, issue.11-12, pp.11-12, 2008.
DOI : 10.1016/j.crme.2008.10.006

J. B. Leblond, G. Perrin, and J. Devaux, An improved Gurson-type model for hardenable ductile metals, European Journal of Mechanics, vol.14, issue.4, pp.499-527, 1995.

F. Lecroise and A. Pineau, Martensitic transformations induced by plastic deformation in the Fe-Ni-Cr-C system, Metallurgical Transactions, vol.2, issue.2, p.387, 1972.
DOI : 10.1007/BF02642042

M. G. Lee, D. Kim, C. Kim, M. L. Wenner, R. H. Wagoner et al., A practical two-surface plasticity model and its application to spring-back prediction, International Journal of Plasticity, vol.23, issue.7, pp.1189-1212, 2007.
DOI : 10.1016/j.ijplas.2006.10.011

M. G. Lee, D. Kim, C. M. Kim, M. L. Wenner, R. H. Wagoner et al., Spring-back evaluation of automotive sheets based on isotropickinematic hardening laws and non-quadratic anisotropic yield functions -Part II: characterization of material properties, International Journal of Plasticity, vol.21, issue.5, pp.883-914, 2005.

W. Lee, K. H. Chung, D. Kim, J. Kim, C. Kim et al., Experimental and numerical study on formability of friction stir welded TWB sheets based on hemispherical dome stretch tests, International Journal of Plasticity, vol.25, issue.9, pp.1626-1654, 2009.
DOI : 10.1016/j.ijplas.2008.08.005

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

G. Leroy, J. D. Embury, G. Edward, and M. F. Ashby, A model of ductile fracture based on the nucleation and growth of voids, Acta Metallurgica, vol.29, issue.8, pp.1509-1522, 1981.
DOI : 10.1016/0001-6160(81)90185-1

M. Li, R. Wang, and M. B. Han, A Kolsky bar: Tension, tension-tension, Experimental Mechanics, vol.105, issue.8, pp.7-14, 1993.
DOI : 10.1007/BF02322543

Y. Li and K. T. Ramesh, An optical technique for measurement of material properties in the tension Kolsky bar, International Journal of Impact Engineering, vol.34, issue.4, pp.784-798, 2007.
DOI : 10.1016/j.ijimpeng.2005.12.002

R. Liang and A. S. Khan, A critical review of experimental results and constitutive models for BCC and FCC metals over a wide range of strain rates and temperatures, International Journal of Plasticity, vol.15, issue.9, pp.963-980, 1999.
DOI : 10.1016/S0749-6419(99)00021-2

U. Lindholm and L. Yeakley, High strain-rate testing: Tension and compression, Experimental Mechanics, vol.14, issue.3, pp.1-9, 1968.
DOI : 10.1007/BF02326244

W. Lode, Versuche über den einflub der mittleren hauptspannug auf die fliebgrenze, Zeitschrift für angewandte mathematik und mechanik, pp.142-144, 1925.

J. Lorthios, F. Nguyen, A. F. 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

B. Lundberg and A. Henchoz, Analysis of elastic waves from two-point strain measurement, Experimental Mechanics, vol.9, issue.6, pp.213-218, 1977.
DOI : 10.1007/BF02324491

E. Maire, O. Bouaziz, M. D. Michiel, and C. Verdu, Initiation and growth of damage in a dual-phase steel observed by X-ray microtomography, Acta Materialia, vol.56, issue.18, 2008.
DOI : 10.1016/j.actamat.2008.06.015
URL : https://hal.archives-ouvertes.fr/hal-00433954

E. Maire, T. Morgeneyer, C. Landron, J. Adrien, and L. Helfen, Bulk evaluation of ductile damage development using high resolution tomography and laminography, Comptes Rendus Physique, vol.13, issue.3, pp.328-336, 2012.
DOI : 10.1016/j.crhy.2011.12.009
URL : https://hal.archives-ouvertes.fr/hal-00685034

Z. Marciniak and K. Kuczinski, 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

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

M. E. Mear and J. W. Hutchinson, Influence of yield surface curvature on flow localization in dilatant plasticity, Mechanics of Materials, vol.4, issue.3-4, pp.3-4, 1985.
DOI : 10.1016/0167-6636(85)90035-3

J. C. Michel, O. Lopez-pamies, P. P. Castaneda, and N. Triantafyllidis, Microscopic and macroscopic instabilities in finitely strained porous elastomers, Journal of the Mechanics and Physics of Solids, vol.55, issue.5, pp.900-938, 2007.
DOI : 10.1016/j.jmps.2006.11.006
URL : https://hal.archives-ouvertes.fr/hal-00111501

D. Mohr, M. Dunand, and K. H. Kim, Evaluation of associated and non-associated quadratic plasticity models for advanced high strength steel sheets under multi-axial loading, International Journal of Plasticity, vol.26, issue.7, pp.939-956, 2010.
DOI : 10.1016/j.ijplas.2009.11.006
URL : https://hal.archives-ouvertes.fr/hal-00620567

D. Mohr and G. Gary, M-shaped Specimen for the High-strain Rate Tensile Testing Using a Split Hopkinson Pressure Bar Apparatus, Experimental Mechanics, vol.44, issue.3, pp.681-692, 2007.
DOI : 10.1007/s11340-007-9035-y

D. Mohr and S. Henn, Calibration of Stress-triaxiality Dependent Crack Formation Criteria: A New Hybrid Experimental???Numerical Method, Experimental Mechanics, vol.32, issue.1, pp.805-820, 2007.
DOI : 10.1007/s11340-007-9039-7

D. Mohr and S. Marcadet, Extended Mohr-Coulomb (EMC) model: theory and application to DP590, DP780 and TRIP780 steel, Massachusetts Institute of Technology, 2012.

D. Mohr and M. Oswald, A New Experimental Technique for the Multi-axial Testing of Advanced High Strength Steel Sheets, Experimental Mechanics, vol.230, issue.2, pp.65-77, 2008.
DOI : 10.1007/s11340-007-9053-9

O. Mohr, Welche Umstande bedingen die Elastizitatsgrenze und den Bruch eines Materials, pp.1524-1530, 1900.

T. F. Morgeneyer, M. J. Starink, and I. Sinclair, Evolution of voids during ductile crack propagation in an aluminium alloy sheet toughness test studied by synchrotron radiation computed tomography, Acta Materialia, vol.56, issue.8, pp.1671-1679, 2008.
DOI : 10.1016/j.actamat.2007.12.019

P. Mouro, G. Gary, and H. Zhao, Dynamic tensile testing of sheet metal, Le Journal de Physique IV, vol.10, issue.PR9, pp.149-154, 2000.
DOI : 10.1051/jp4:2000925
URL : https://hal.archives-ouvertes.fr/hal-00111309

K. Nahshon and J. W. Hutchinson, Modification of the Gurson Model for shear failure, European Journal of Mechanics - A/Solids, vol.27, issue.1, pp.1-17, 2008.
DOI : 10.1016/j.euromechsol.2007.08.002

K. Nahshon and Z. Y. Xue, A modified Gurson model and its application to punch-out experiments, Engineering Fracture Mechanics, vol.76, issue.8, pp.997-1009, 2009.
DOI : 10.1016/j.engfracmech.2009.01.003

A. Needleman and V. Tvergaard, Analyses of Plastic Flow Localization in Metals, Applied Mechanics Reviews, vol.45, issue.3S, pp.3-18, 1992.
DOI : 10.1115/1.3121390

A. Nelder and R. Mead, A Simplex Method for Function Minimization, The Computer Journal, vol.7, issue.4, pp.308-313, 1965.
DOI : 10.1093/comjnl/7.4.308

S. Nemat-nasser, J. B. Issacs, and J. E. Starrett, Hopkinson Techniques for Dynamic Recovery Experiments, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol.435, issue.1894, pp.371-391, 1894.
DOI : 10.1098/rspa.1991.0150

T. Nicholas, Tensile testing of materials at high rates of strain, Experimental Mechanics, vol.6, issue.4, pp.177-185, 1981.
DOI : 10.1007/BF02326644

K. Nielsen, J. Dahl, and V. Tvergaard, Collapse and coalescence of spherical voids subject to intense shearing: studied in full 3D, International Journal of Fracture, vol.58, issue.2, pp.97-108, 2012.
DOI : 10.1007/s10704-012-9757-4

K. L. Nielsen and V. Tvergaard, Effect of a shear modified Gurson model on damage development in a FSW tensile specimen, International Journal of Solids and Structures, vol.46, issue.3-4, pp.3-4, 2009.
DOI : 10.1016/j.ijsolstr.2008.09.011

K. L. Nielsen and V. Tvergaard, Ductile shear failure or plug failure of spot welds modelled by modified Gurson model, Engineering Fracture Mechanics, vol.77, issue.7, pp.1031-1047, 2010.
DOI : 10.1016/j.engfracmech.2010.02.031

K. Ogawa, Impact-tension compression test by using a split-Hopkinson bar, Experimental Mechanics, vol.12, issue.5, pp.81-86, 1984.
DOI : 10.1007/BF02324987

S. I. Oh, C. C. Chen, and S. Kobayashi, Ductile Fracture in Axisymmetric Extrusion and Drawing???Part 2: Workability in Extrusion and Drawing, Journal of Engineering for Industry, vol.101, issue.1, pp.36-44, 1979.
DOI : 10.1115/1.3439471

S. Oliver, T. B. Jones, and G. Fourlaris, Dual phase versus TRIP strip steels: comparison of dynamic properties for automotive crash performance, Materials Science and Technology, vol.71, issue.5, pp.423-431, 2007.
DOI : 10.2355/isijinternational.42.1483

G. Olson and M. Cohen, Kinetics of strain-induced martensitic nucleation, Metallurgical Transactions A, vol.55, issue.4, pp.791-795, 1975.
DOI : 10.1007/BF02672301

E. Pam-crash and . Group, Solver Reference Manual, 2011.

T. Pardoen and J. W. Hutchinson, An extended model for void growth and coalescence, Journal of the Mechanics and Physics of Solids, vol.48, issue.12, pp.2467-2512, 2000.
DOI : 10.1016/S0022-5096(00)00019-3

P. Castaneda and P. , New variational principles in plasticity and their application to composite materials, Journal of the Mechanics and Physics of Solids, vol.40, issue.8, pp.1757-1788, 1992.
DOI : 10.1016/0022-5096(92)90050-C

M. Quik, K. Labibes, C. Albertini, T. Valentin, and P. Magain, Dynamic Mechanical Properties of Automotive Thin Sheet Steel in Tension, Compression and Shear, Le Journal de Physique IV, vol.07, issue.C3, pp.7-379, 1997.
DOI : 10.1051/jp4:1997366
URL : https://hal.archives-ouvertes.fr/jpa-00255523

M. A. Rahman, C. Butcher, and Z. T. Chen, Void evolution and coalescence in porous ductile materials in simple shear, International Journal of Fracture, vol.17, issue.2, pp.129-139, 2012.
DOI : 10.1007/s10704-012-9759-2

J. R. Rice, The localization of plastic deformation, Theoretical and Applied Mechanics (Proceedings of the 14th International Congress on Theoretical and Applied Mechanics, pp.207-220, 1976.

J. R. Rice and D. M. Tracey, On the ductile enlargement of voids in triaxial stress fields???, Journal of the Mechanics and Physics of Solids, vol.17, issue.3, p.201, 1969.
DOI : 10.1016/0022-5096(69)90033-7

J. W. Rudnicki and J. R. 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.371-394, 1975.
DOI : 10.1016/0022-5096(75)90001-0

A. Rusinek, R. Cheriguene, A. Bäumer, and P. Larour, Dynamic behaviour of high???strength sheet steel in dynamic tension: experimental and numerical analyses, The Journal of Strain Analysis for Engineering Design, vol.43, issue.1, pp.37-53, 2008.
DOI : 10.1243/03093247JSA320

A. Rusinek and J. R. Klepaczko, Shear testing of a sheet steel at wide range of strain rates and a constitutive relation with strain-rate and temperature dependence of the flow stress, International Journal of Plasticity, vol.17, issue.1, pp.87-115, 2001.
DOI : 10.1016/S0749-6419(00)00020-6

A. Rusinek and J. R. Klepaczko, Experiments on heat generated during plastic deformation and stored energy for TRIP steels, Materials & Design, vol.30, issue.1, pp.35-48, 2009.
DOI : 10.1016/j.matdes.2008.04.048

A. Rusinek, R. Zaera, and J. R. Klepaczko, Constitutive relations in 3-D for a wide range of strain rates and temperatures ??? Application to mild steels, International Journal of Solids and Structures, vol.44, issue.17, pp.5611-5634, 2007.
DOI : 10.1016/j.ijsolstr.2007.01.015

F. Scheyvaerts, P. R. Onck, C. Tekoglu, and T. Pardoen, The growth and coalescence of ellipsoidal voids in plane strain under combined shear and tension, Journal of the Mechanics and Physics of Solids, vol.59, issue.2, pp.373-397, 2011.
DOI : 10.1016/j.jmps.2010.10.003

R. Smerd, S. Winkler, C. Salisbury, M. Worswick, D. Lloyd et al., High strain rate tensile testing of automotive aluminum alloy sheet, International Journal of Impact Engineering, vol.32, issue.1-4, pp.1-4, 2005.
DOI : 10.1016/j.ijimpeng.2005.04.013

B. Song, B. R. Antoun, K. Connelly, J. Korellis, and W. Lu, Improved Kolsky tension bar for high-rate tensile characterization of materials, Measurement Science and Technology, vol.22, issue.4, p.45704, 2011.
DOI : 10.1088/0957-0233/22/4/045704

W. A. Spitzig and O. Richmond, The effect of pressure on the flow stress of metals, Acta Metallurgica, vol.32, issue.3, pp.457-463, 1984.
DOI : 10.1016/0001-6160(84)90119-6

G. Staab and A. Gilat, A direct-tension split Hopkinson bar for high strain-rate testing, Experimental Mechanics, vol.6, issue.3, pp.232-235, 1991.
DOI : 10.1007/BF02326065

T. B. Stoughton, A non-associated flow rule for sheet metal forming, International Journal of Plasticity, vol.18, issue.5-6, pp.5-6, 2002.
DOI : 10.1016/S0749-6419(01)00053-5

T. B. Stoughton and J. W. 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.4-5, 2004.
DOI : 10.1016/S0749-6419(03)00079-2

T. B. Stoughton and J. W. Yoon, On the existence of indeterminate solutions to the equations of motion under non-associated flow, International Journal of Plasticity, vol.24, issue.4, pp.583-613, 2008.
DOI : 10.1016/j.ijplas.2007.07.002

R. G. Stringfellow, D. M. Parks, and G. B. Olson, A constitutive model for transformation plasticity accompanying strain-induced martensitic transformations in metastable austenitic steels, Acta Metallurgica et Materialia, vol.40, issue.7, pp.1703-1716, 1992.
DOI : 10.1016/0956-7151(92)90114-T

X. Sun, A. Soulami, K. S. Choi, O. Guzman, and W. Chen, Effects of sample geometry and loading rate on tensile ductility of TRIP800 steel, Materials Science and Engineering: A, vol.541, issue.0, pp.1-7, 2012.
DOI : 10.1016/j.msea.2011.12.115

J. H. Sung, J. H. Kim, and R. H. Wagoner, A plastic constitutive equation incorporating strain, strain-rate, and temperature, International Journal of Plasticity, vol.26, issue.12, pp.1746-1771, 2010.
DOI : 10.1016/j.ijplas.2010.02.005

H. 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

S. Tanimura, K. Mimura, and T. Umeda, New testing techniques to obtain tensile stress-strain curves for a wide range of strain rates, Journal de Physique IV (Proceedings), vol.110, pp.385-390, 2003.
DOI : 10.1051/jp4:20020724

V. Tarigopula, O. S. Hopperstad, M. Langseth, A. H. Clausen, and F. Hild, A study of localisation in dual-phase high-strength steels under dynamic loading using digital image correlation and FE analysis, International Journal of Solids and Structures, vol.45, issue.2, pp.601-619, 2008.
DOI : 10.1016/j.ijsolstr.2007.08.021
URL : https://hal.archives-ouvertes.fr/hal-00200976

C. Tekoglu, J. B. Leblond, and T. Pardoen, A criterion for the onset of void coalescence under combined tension and shear, Journal of the Mechanics and Physics of Solids, vol.60, issue.7, pp.1363-1381, 2012.
DOI : 10.1016/j.jmps.2012.02.006

P. F. Thomason, A three-dimensional model for ductile fracture by the growth and coalescence of microvoids, Acta Metallurgica, vol.33, issue.6, pp.1087-1095, 1985.
DOI : 10.1016/0001-6160(85)90202-0

S. Turteltaub and A. S. Suiker, Transformation-induced plasticity in ferrous alloys, Journal of the Mechanics and Physics of Solids, vol.53, issue.8, pp.1747-1788, 2005.
DOI : 10.1016/j.jmps.2005.03.004

V. Tvergaard, Influence of voids on shear band instabilities under plane strain conditions, International Journal of Fracture, vol.6, issue.4, pp.389-407, 1981.
DOI : 10.1007/BF00036191

V. Tvergaard, Shear deformation of voids with contact modelled by internal pressure, International Journal of Mechanical Sciences, vol.50, issue.10-11, pp.10-11, 2008.
DOI : 10.1016/j.ijmecsci.2008.08.007

V. Tvergaard, Behaviour of voids in a shear field, International Journal of Fracture, vol.50, issue.11, pp.41-49, 2009.
DOI : 10.1007/s10704-009-9364-1

V. Tvergaard, Effect of stress-state and spacing on voids in a shear-field, International Journal of Solids and Structures, vol.49, issue.22, pp.3047-3054, 2012.
DOI : 10.1016/j.ijsolstr.2012.06.008

V. Tvergaard and A. Needleman, Analysis of the cup-cone fracture in a round tensile bar, Acta Metallurgica, vol.32, issue.1, pp.157-169, 1984.
DOI : 10.1016/0001-6160(84)90213-X

J. Van-slycken, P. Verleysen, J. Degrieck, J. Bouquerel, and B. C. De-cooman, Dynamic response of aluminium containing TRIP steel and its constituent phases, Materials Science and Engineering: A, vol.460, issue.461, pp.460-461, 2007.
DOI : 10.1016/j.msea.2007.01.075

P. Verleysen and J. Degrieck, Optical measurement of the specimen deformation at high strain rate, Experimental Mechanics, vol.24, issue.6, pp.247-252, 2004.
DOI : 10.1007/BF02427890

P. Verleysen, J. Degrieck, T. Verstraete, and J. Van-slycken, Influence of Specimen Geometry on Split Hopkinson Tensile Bar Tests on Sheet Materials, Experimental Mechanics, vol.53, issue.4, pp.587-598, 2008.
DOI : 10.1007/s11340-008-9149-x

P. Verleysen, J. Peirs, J. Van-slycken, K. Faes, and L. Duchene, Effect of strain rate on the forming behaviour of sheet metals, Journal of Materials Processing Technology, vol.211, issue.8, pp.1457-1464, 2011.
DOI : 10.1016/j.jmatprotec.2011.03.018

E. Voce, The relationship between stress and strain for homogeneous deformation, Journal of the Institute of Metals, vol.74, pp.537-562, 1948.

G. Z. Voyiadjis and F. H. Abed, Microstructural based models for bcc and fcc metals with temperature and strain rate dependency, Mechanics of Materials, vol.37, issue.2-3, pp.2-3, 2005.
DOI : 10.1016/j.mechmat.2004.02.003

C. Y. Wang and Y. M. Xia, Validity of one-dimensional experimental principle for flat specimen in bar???bar tensile impact apparatus, International Journal of Solids and Structures, vol.37, issue.24, pp.3305-3322, 2000.
DOI : 10.1016/S0020-7683(99)00035-9

X. Wei, R. Fu, and L. Li, Tensile deformation behavior of cold-rolled TRIP-aided steels over large range of strain rates, Materials Science and Engineering: A, vol.465, issue.1-2, pp.260-266, 2007.
DOI : 10.1016/j.msea.2007.02.126

T. Wierzbicki, D. Mohr, and I. Team, Deliverables of the joint MIT/Industry AHSS fracture consortium, Massachusetts Institute of Technology, 2010.

T. Wierzbicki and L. Xue, On the Effect of the Third Invariant of the Stress Deviator on Ductile Fracture, Massachusetts Institute of Technology, 2005.

M. L. Wilkins, R. D. Streit, and J. E. Reaugh, Cumulative Strain- Damage Model of Ductile Fracture: Simulation and Prediction of Engineering Fracture Tests, 1980.
DOI : 10.2172/6628920

L. Xue, Constitutive modeling of void shearing effect in ductile fracture of porous materials, Engineering Fracture Mechanics, vol.75, issue.11, pp.3343-3366, 2008.
DOI : 10.1016/j.engfracmech.2007.07.022

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.5-6, 2002.
DOI : 10.1016/S0749-6419(01)00049-3

F. J. Zerilli and R. W. Armstrong, Dislocation???mechanics???based constitutive relations for material dynamics calculations, Journal of Applied Physics, vol.61, issue.5, pp.1816-1825, 1987.
DOI : 10.1063/1.338024

K. S. Zhang, J. B. Bai, and D. Francois, Numerical analysis of the influence of the Lode parameter on void growth, International Journal of Solids and Structures, vol.38, issue.32-33, pp.32-33, 2001.
DOI : 10.1016/S0020-7683(00)00391-7

H. Zhao and G. Gary, A three dimensional analytical solution of the longitudinal wave propagation in an infinite linear viscoelastic cylindrical bar. Application to experimental techniques, Journal of the Mechanics and Physics of Solids, vol.43, issue.8, pp.1335-1348, 1995.
DOI : 10.1016/0022-5096(95)00030-M

H. Zhao and G. Gary, The testing and behaviour modelling of sheet metals at strain rates from 10???4 to 104 s???1, Materials Science and Engineering: A, vol.207, issue.1, pp.46-50, 1996.
DOI : 10.1016/0921-5093(95)10017-2
URL : https://hal.archives-ouvertes.fr/hal-00111529

H. Zhao and G. Gary, A new method for the separation of waves. Application to the SHPB technique for an unlimited duration of measurement, Journal of the Mechanics and Physics of Solids, vol.45, issue.7, pp.1185-1202, 1997.
DOI : 10.1016/S0022-5096(96)00117-2
URL : https://hal.archives-ouvertes.fr/hal-00111583

H. Zhao, G. Gary, and J. R. Klepaczko, On the use of a viscoelastic split hopkinson pressure bar, International Journal of Impact Engineering, vol.19, issue.4, pp.319-330, 1997.
DOI : 10.1016/S0734-743X(96)00038-3
URL : https://hal.archives-ouvertes.fr/hal-00111585