P. Achon, Comportement et ténacité d'alliages d'aluminium à haute résistance, 1994.

. Ainsworth, Methods for including constraint effects within the SINTAP procedures, Engineering Fracture Mechanics, vol.67, issue.6, pp.563-571, 2000.
DOI : 10.1016/S0013-7944(00)00074-6

. Arora, Microstructure Evolution during Friction Stir Welding of Aluminum Alloy AA2219, Journal of Materials Science & Technology, vol.26, issue.8, pp.747-753, 2010.
DOI : 10.1016/S1005-0302(10)60118-1

. Bansal, Stretched zone width and blunting line equation for determination of initiation fracture toughness in low carbon highly ductile steels, International Journal of Fracture, vol.18, issue.1, pp.43-50, 2009.
DOI : 10.1007/s10704-009-9381-0

J. Barbe, Mécanique des structures, tome 3 : Plasticité, Mécanique de la fracture, Fluage des métaux, Ecole Nationale, 1976.

. Barlat, 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

M. Bellet, Finite element analysis of compressible viscoplasticity using a three-field formulation, Computer Methods in Applied Mechanics and Engineering, vol.175, issue.1-2, pp.19-40, 1999.
DOI : 10.1016/S0045-7825(98)00317-X

URL : https://hal.archives-ouvertes.fr/hal-00574862

. Benzerga, . Besson, A. Benzerga, and J. Besson, Plastic potentials for anisotropic porous solids, European Journal of Mechanics - A/Solids, vol.20, issue.3, pp.20-397, 2001.
DOI : 10.1016/S0997-7538(01)01147-0

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

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

F. M. Beremin, Calculs élastoplastiques par la méthode des éléments finis d'éprouvettes axisymétriques entaillées circulairement, Journal de Mécanique appliquée, vol.4, pp.307-325, 1980.

J. Besson, Continuum Models of Ductile Fracture: A Review, International Journal of Damage Mechanics, vol.19, issue.1, pp.3-52, 2010.
DOI : 10.1177/1056789509103482

URL : https://hal.archives-ouvertes.fr/hal-00550957

. Besson, Ductile rupture of aluminum sheet materials, European Journal of Finite Elements, vol.10, pp.401-415, 2001.

. Besson, . Foerch, J. Besson, and R. 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

J. G. Blauel, Experimental techniques for the determination of the initiation of failure Advances in Elastic-Plastic Fracture, pp.65-88, 1979.

. Bloom, . Malik, J. M. Bloom, and S. N. Malik, Procedure for the assessment of the integrity of nuclear pressure vessels and piping containing defects, 1982.

. Brickstad, Procedures used in Sweden for safety assessment of components with cracks, International Journal of Pressure Vessels and Piping, vol.77, issue.14-15, pp.877-881, 2000.
DOI : 10.1016/S0308-0161(01)00010-2

W. Brocks and I. Scheider, Numerical aspects of the pathdependance of the J integral in incremental plasticity, Technical Note GKSS, p.8, 2001.

F. Bron, Déchirure ductile des tôles minces en alliage d'aluminium 2024 pour application aéronautique, 2004.

. Bron, F. Besson-]-bron, and J. 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

. Bron, F. Besson-]-bron, and J. Besson, Simulation of the ductile tearing for two grades of 2024 aluminum alloy thin sheets, Engineering Fracture Mechanics, vol.73, issue.11, pp.1531-1552, 2006.
DOI : 10.1016/j.engfracmech.2006.01.024

URL : https://hal.archives-ouvertes.fr/hal-00136710

. Bron, Ductile rupture in thin sheets of two grades of 2024 aluminum alloy, Materials Science and Engineering: A, vol.380, issue.1-2, pp.356-364, 2004.
DOI : 10.1016/j.msea.2004.04.008

URL : https://hal.archives-ouvertes.fr/hal-00144979

M. Chell, G. G. Chell, and I. Milne, Ductile Tearing Instability Analysis: A Comparison of Available Techniques, Elastic-Plastic Fracture, ASTM STP 803, pp.179-205, 1983.
DOI : 10.1520/STP36767S

G. P. Cherepanov, Crack propagation in continuous media, Journal of Applied Mathematics and Mechanics, vol.31, issue.3, pp.476-488, 1967.
DOI : 10.1016/0021-8928(67)90034-2

C. , N. Chu, C. C. Needleman, and A. , Void nucleation effects in biaxially stretched sheets, J. Engng Mater. Technol, vol.102, pp.249-256, 1980.

. Clarke, G. A. Landes-]-clarke, and J. D. Landes, Evaluation of the J integral for the compact specimen, J. of testing and evaluation, vol.7, pp.264-269, 1979.

D. L. Corn, A study of cracking techniques for obtaining partial thickness cracks of pre-selected depths and shapes, Engineering Fracture Mechanics, vol.3, issue.1, pp.45-52, 1971.
DOI : 10.1016/0013-7944(71)90050-6

. Cravero, . Ruggieri, S. Cravero, and C. Ruggieri, Estimation procedure of J-resistance curves for SE(T) fracture specimens using unloading compliance, Engineering Fracture Mechanics, vol.74, issue.17, pp.2735-2757, 2007.
DOI : 10.1016/j.engfracmech.2007.01.012

P. Danas, . Castaneda, K. Danas, P. Castaneda, and P. , A finite-strain model for anisotropic viscoplastic porous media: I ??? Theory, European Journal of Mechanics - A/Solids, vol.28, issue.3, pp.387-401, 2009.
DOI : 10.1016/j.euromechsol.2008.11.002

URL : https://hal.archives-ouvertes.fr/hal-00491346

P. Danas, K. Castaneda-danas, P. Castaneda, and P. , 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.1325-1342, 2012.
DOI : 10.1016/j.ijsolstr.2012.02.006

URL : https://hal.archives-ouvertes.fr/hal-00755852

B. J. Darlaston, The development and application of the CEGB two criteria approach for the assessment of defects in structures, Advances in Elastic-Plastic Fracture, pp.319-357, 1979.

H. Delorenzi, Energy release rate calculations by the finite element method, Engineering Fracture Mechanics, vol.21, issue.1, pp.129-143, 1985.
DOI : 10.1016/0013-7944(85)90060-8

D. Escatha, Y. Devaux, and J. C. , Numerical study of initiation, stable crack growth, and maximumload, with a ductile fracture criterion based on the growth of holes, pp.229-248, 1979.

. Devaux, Experimental and Numerical Validation of a Ductile Fracture Local Criterion Based on a Simulation of Cavity Growth, Nonlinear Fracture Mechanics, ASTM STP 995, pp.7-23, 1989.
DOI : 10.1520/STP27699S

. Dowling, Workshop 1 Worked Examples Using The CEGB Procedure For The Assessment Of The Integrity Of Structures Containing Defects, Elastic-Plastic Fracture Mechanics Fourth ISPRA Conference, pp.327-371, 1983.
DOI : 10.1007/978-94-009-5380-2_13

. Elices, The cohesive zone model: advantages, limitations and challenges, Engineering Fracture Mechanics, vol.69, issue.2, pp.137-163, 2002.
DOI : 10.1016/S0013-7944(01)00083-2

H. A. Ernst, Some Salient Features of the Tearing Instability Theory, Elastic-Plastic Fracture, ASTM STP 803, pp.133-155, 1983.
DOI : 10.1520/STP36765S

H. A. Ernst, Further developments on the modified J-integral, Elastic-Plastic Fracture, ASTM STP 995, pp.306-319, 1989.

. Ernst, Estimations on J-integral and tearing modulus T from a single specimen test record, Fracture Mechanics, ASTM STP 743, pp.476-502, 1981.

. Ernst, Analysis of Load-Displacement Relationship to Determine J-R Curve and Tearing Instability Material Properties, Fracture Mechanics, ASTM STP 677, pp.581-599, 1979.
DOI : 10.1520/STP34937S

. Ernst, Modified J, J M , resistance curves under plane stress conditions, Int. J. Frac, vol.37, pp.83-100, 1988.

. Gologanu, 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.411723-1754, 1993.
DOI : 10.1016/0022-5096(93)90029-F

. Gologanu, 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

. Gupta, Computation of the homogenization regime for aluminum alloy AA2219 on the basis of diffusion theory, Metal Science and Heat Treatment, vol.59, issue.11-12, pp.522-525, 2005.
DOI : 10.1007/s11041-006-0025-y

. Gupta, DESIGN OF HOMOGENIZATION CYCLE FOR VARIOUS GRAIN SIZES OF ALUMINUM ALLOY AA2219 USING DIFFUSION PRINCIPLES, Canadian Metallurgical Quarterly, vol.59, issue.3, pp.347-352, 2006.
DOI : 10.1007/BF02644652

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

N. Hampton, R. W. Hampton, and D. Nelson, Stable crack growth and instability prediction in thin plates and cylinders, Engineering Fracture Mechanics, vol.70, issue.3-4, pp.371-385, 2003.
DOI : 10.1016/S0013-7944(02)00132-7

. Harrison, Assessment of the integrity of structures containing defects, CEGB Report, 1980.

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

R. Hill, Constitutive modelling of orthotropic plasticity in sheet metals, Journal of the Mechanics and Physics of Solids, vol.38, issue.3, pp.405-417, 1990.
DOI : 10.1016/0022-5096(90)90006-P

. Hodulak, Validation of R6 Defect Assessment Methodology Using Experiments on Plates and Pipes with Surface Cracks, Nonlinear Fracture Mechanics, ASTM STP 667, pp.355-370, 1989.
DOI : 10.1520/STP16419S

W. F. Hosford, A Generalized Isotropic Yield Criterion, Journal of Applied Mechanics, vol.39, issue.2, pp.607-609, 1972.
DOI : 10.1115/1.3422732

Y. Huang, Accurate Dilatation Rates for Spherical Voids in Triaxial Stress Fields, Journal of Applied Mechanics, vol.58, issue.4, pp.1084-1086, 1991.
DOI : 10.1115/1.2897686

J. W. Hutchinson, Singular behaviour at the end of a tensile crack in a hardening material, Journal of the Mechanics and Physics of Solids, vol.16, issue.1, pp.13-31, 1968.
DOI : 10.1016/0022-5096(68)90014-8

J. W. Hutchinson, Fundamentals of the Phenomenological Theory of Nonlinear Fracture Mechanics, Journal of Applied Mechanics, vol.50, issue.4b, pp.1042-1051, 1983.
DOI : 10.1115/1.3167187

G. R. Irwin, Crack-Extension Force for a Part-Through Crack in a Plate, Journal of Applied Mechanics, vol.29, issue.4, pp.651-653, 1962.
DOI : 10.1115/1.3640649

J. A. Joyce, A Closer Look at Tearing Instability and Arrest, Nonlinear Fracture Mechanics, ASTM STP 667, pp.355-370, 1989.
DOI : 10.1520/STP27717S

J. , H. , J. A. Hackett, and E. M. , An advanced procedure for J-R curve testing using a drop tower, Non linear Fracture Mechanics, ASTM STP 995, pp.298-317, 1989.

C. Kaiser, S. Kaiser, and A. J. Carlsson, Studies of Different Criteria for Crack Growth Instability in Ductile Materials, Elastic-Plastic Fracture, ASTM STP 803, pp.58-79, 1983.
DOI : 10.1520/STP36788S

B. Karafillis, A. P. Karafillis, and M. C. Boyce, A general anisotropic yield criterion using bounds and a transformation weighting tensor, Journal of the Mechanics and Physics of Solids, vol.41, issue.12, pp.1859-1886, 1993.
DOI : 10.1016/0022-5096(93)90073-O

. Kobayashi, Evaluation of Blunting Line and Elastic-Plastic Fracture Toughness, Elastic-Plastic Fracture, ASTM STP 803, pp.420-438, 1983.
DOI : 10.1520/STP36780S

. Koplik, . Needleman, 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

. Kumar, An engineering approach for elastic-plastic fracture analysis, 1981.
DOI : 10.2172/6068291

P. Ladevèze, Sur la théorie de la plasticité en grandes déformations, Rapport interne, issue.9, 1980.

. Lautridou, . Pineau, J. C. Lautridou, and A. Pineau, Crack initiation and stable crack growth resistance in A508 steels in relation to inclusion distribution, Engineering Fracture Mechanics, vol.15, issue.1-2, pp.55-71, 1981.
DOI : 10.1016/0013-7944(81)90105-3

Y. Lei, J-integral and limit load analysis of semi-elliptical surface cracks in plates under tension, International Journal of Pressure Vessels and Piping, vol.81, issue.1, pp.21-30, 2004.
DOI : 10.1016/j.ijpvp.2003.12.004

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

. Lemaitre, J. Chaboche-]-lemaitre, and J. Chaboche, Aspect phénoménologique de la rupture par endommagement, Journal de Mécanique Appliquée, vol.2, pp.317-365, 1978.

T. U. Marston, The EPRI ductile fracture research program, Advances in Elastic-Plastic Fracture, pp.191-235, 1979.

D. E. Mccabe, A viewpoint on the failure assessment diagram, Nonlinear Fracture Mechanics, ASTM STP 995, pp.261-279, 1989.

F. A. 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. M. Mcmeeking, Finite deformation analysis of crack-tip opening in elastic-plastic materials and implications for fracture, Journal of the Mechanics and Physics of Solids, vol.25, issue.5, pp.357-381, 1977.
DOI : 10.1016/0022-5096(77)90003-5

P. Mcmeeking, R. M. Mcmeeking, and D. M. Parks, On criteria for J-dominance of crack-tip fields in large-scale yielding, pp.175-194, 1979.

. Merkle, J. G. Corten-]-merkle, and H. T. Corten, A J Integral Analysis for the Compact Specimen, Considering Axial Force as Well as Bending Effects, Journal of Pressure Vessel Technology, vol.96, issue.4, pp.286-292, 1974.
DOI : 10.1115/1.3454183

A. G. Miller, Review of limit loads of structures containing defects, International Journal of Pressure Vessels and Piping, vol.32, issue.1-4, pp.197-327, 1988.
DOI : 10.1016/0308-0161(88)90073-7

I. Milne, Failure assessment diagrams and J estimates: A comparison for ferritic and austenitic steels, International Journal of Pressure Vessels and Piping, vol.13, issue.2, pp.2208-81, 1982.
DOI : 10.1016/0308-0161(83)90011-X

. Milne, Assessment of the integrity of structures containing defects, CEGB Report, 1986.
DOI : 10.1016/0308-0161(88)90071-3

L. Mondolfo, Aluminium alloys ? Structure and properties, 1976.

. Morgeneyer, Experimental and numerical analysis of toughness anisotropy in AA2139 Al-alloy sheet, Acta Materialia, vol.57, issue.13, pp.3902-3915, 2009.
DOI : 10.1016/j.actamat.2009.04.046

URL : https://hal.archives-ouvertes.fr/hal-00413654

F. Mudry, Methodology and Applications of Local Criteria for the Prediction of Ductile Tearing, Elastic-Plastic Fracture Mechanics Fourth ISPRA Conference, Joint Research Center, pp.263-303, 1983.
DOI : 10.1007/978-94-009-5380-2_10

. Mudry, Numerical comparaison of global and local fracture criteria in compact tension and center-crack specimens, Nonlinear Fracture Mechanics, ASTM STP 995, pp.24-39, 1989.

Y. Murakami, Stress intensity factors handbook, 1987.

. Nakagaki, Elastic-plastic fracture mechanics evaluation of stainless steel tungsten/inert-gas welds, Nonlinear Fracture Mechanics, ASTM STP 995, pp.214-243, 1989.

M. Nelder, J. 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

R. Newman, J. Newman, and I. S. Raju, An empirical stress-intensity factor equation for the surface crack, Engineering Fracture Mechanics, vol.15, issue.1-2, pp.185-192, 1981.
DOI : 10.1016/0013-7944(81)90116-8

. Newman, A review of the CTOA/CTOD fracture criterion, Engineering Fracture Mechanics, vol.70, issue.3-4, pp.371-385, 2003.
DOI : 10.1016/S0013-7944(02)00125-X

[. Dowd, S. Dowd, N. P. Shih, and C. F. , Family of crack-tip fields characterized by a triaxiality parameter???I. Structure of fields, Journal of the Mechanics and Physics of Solids, vol.39, issue.8, pp.989-1015, 1991.
DOI : 10.1016/0022-5096(91)90049-T

[. Dowd, S. Dowd, N. P. Shih, and C. F. , Family of crack-tip fields characterized by a triaxiality parameter???II. Fracture applications, Journal of the Mechanics and Physics of Solids, vol.40, issue.5, pp.939-963, 1992.
DOI : 10.1016/0022-5096(92)90057-9

T. W. Orange, Fracture Testing with Surface Crack Specimens, Journal of Testing and Evaluation, vol.3, pp.335-342, 1975.
DOI : 10.1520/STP28706S

. Pan, Localization of deformation in rate sensitive porous plastic solids, International Journal of Fracture, vol.30, issue.4, pp.261-278, 1983.
DOI : 10.1007/BF00942345

D. Pardoen, T. Pardoen, and F. Delannay, THE COALESCENCE OF VOIDS IN PRESTRAINED NOTCHED ROUND COPPER BARS, Fatigue <html_ent glyph="@amp;" ascii="&"/> Fracture of Engineering Materials and Structures, vol.20, issue.12, pp.1459-1472, 1998.
DOI : 10.1016/0001-6160(86)90147-1

. Pardoen, T. Hutchinson-]-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. C. Paris, The fracture mechanics approach to fatigue, Fatigue -An Interdisciplinary Approach Proc. 10 th Sagamore Army Mat. Res. Conf, p.107, 1964.

. Paris, The Theory of Instability of the Tearing Mode of Elastic-Plastic Crack Growth, Elastic-Plastic Fracture, ASTM STP 668, pp.5-36, 1979.
DOI : 10.1520/STP35825S

. Pierce, . Shannon, W. S. Pierce, J. L. Shannon, and J. , Surface-crack shape change in bending fatigue using an inexpensive resonant fatiguing apparatus, Journal of Testing and Evaluation, vol.6, pp.183-188, 1978.

R. , T. Rice, J. Tracey, and D. , On the ductile enlargement of voids in triaxial stress fields, J. Mech. Phys. Solids, vol.17, pp.201-217, 1969.

J. R. Rice, A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks, Journal of Applied Mechanics, vol.35, issue.2, pp.379-386, 1968.
DOI : 10.1115/1.3601206

R. , R. Rice, J. R. Rosengren, and G. F. , Plane strain deformation near a crack tip in a power-law hardening material, J. Mech. Phys. Solids, vol.16, pp.1-12, 1968.

G. Rousselier, Numerical treatment of crack growth problems, Advances in Elastic-Plastic Fracture, pp.165-189, 1979.

G. Rousselier, The EPRI method for ductile fracture analysis, Elastic-Plastic Fracture Mechanics Fourth ISPRA Conference, Joint Research Center, pp.373-396, 1983.

. Sattari-far and I. Sattari-far, Finite element analysis of limit loads for surface cracks in plates, International Journal of Pressure Vessels and Piping, vol.57, issue.2, pp.237-243, 1994.
DOI : 10.1016/0308-0161(94)90058-2

I. Sattari-far and P. Dillström, Local limit load solutions for surface cracks in plates and cylinders using finite element analysis, International Journal of Pressure Vessels and Piping, vol.81, issue.1, pp.57-66, 2004.
DOI : 10.1016/j.ijpvp.2003.11.015

. Sharobeam, . Landes, M. H. Sharobeam, and J. D. Landes, The load separation criterion and methodology in ductile fracture mechanics, International Journal of Fracture, vol.743, issue.No. 5, pp.81-104, 1991.
DOI : 10.1007/BF00032571

. Sharobeam, . Landes, M. H. Sharobeam, and J. D. Landes, The load separation and ? pl development in precracked specimen test records, Int. J. Frac, vol.59, pp.213-226, 1993.

. Shen, Measurement of J-R curves using single specimen technique on clamped SE(T) specimens, CANMET Materials Technology Laboratory. Nineteenth international offshore and polar engineering conference, 2009.

. Srivatsan, The quasi-static deformation and final fracture behavior of aluminum alloy 2219, Materials Science and Engineering: A, vol.497, issue.1-2, pp.270-277, 2008.
DOI : 10.1016/j.msea.2008.07.033

. Talamantes-silva, Characterization of an Al???Cu cast alloy, Materials Characterization, vol.59, issue.10, pp.1434-1439, 2008.
DOI : 10.1016/j.matchar.2008.01.005

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

P. F. Thomason, Three-dimensional models for the plastic limit-loads at incipient failure of the intervoid matrix in ductile porous solids, Acta Metallurgica, vol.33, issue.6, pp.1079-1085, 1985.
DOI : 10.1016/0001-6160(85)90201-9

. Tvergaard, . Needleman, 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

D. Willoughby, A. A. Willoughby, and T. G. Davey, Plastic Collapse in Part-Wall Flaws in Plates, Fracture Mechanics, ASTM STP 1020, pp.390-409, 1989.
DOI : 10.1520/STP18834S

. Windisch, Defect tolerance assessment of ARIANE 5 structures on the basis of damage mechanics material modelling, Engineering Fracture Mechanics, vol.76, issue.1, pp.59-73, 2009.
DOI : 10.1016/j.engfracmech.2008.04.019

R. Pick, Void growth and constitutive softening in a periodically voided solid, J. Mech. Phys. Solids, vol.38, pp.601-625, 1990.

L. Xue, Damage accumulation and fracture initiation in uncracked ductile solids subject to triaxial loading, International Journal of Solids and Structures, vol.44, issue.16, pp.5163-5181, 2007.
DOI : 10.1016/j.ijsolstr.2006.12.026

W. Xue, L. Xue, and T. 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

L. Xue and T. Wierzbicki, Numerical simulation of fracture mode transition in ductile plates, International Journal of Solids and Structures, vol.46, issue.6, pp.1423-1435, 2009.
DOI : 10.1016/j.ijsolstr.2008.11.009

N. Zhang, Z. L. Zhang, and E. Niemi, Studies on the ductility predictions by different local failure criteria, Engineering Fracture Mechanics, vol.48, issue.4, pp.529-540, 1994.
DOI : 10.1016/0013-7944(94)90208-9

. Zhang, A complete Gurson model approach for ductile fracture, Engineering Fracture Mechanics, vol.67, issue.2, pp.461-487, 1996.
DOI : 10.1016/S0013-7944(00)00055-2

J. L. Zhou and A. L. Tits, An SQP Algorithm for Finely Discretized Continuous Minimax Problems and Other Minimax Problems with Many Objective Functions, SIAM Journal on Optimization, vol.6, issue.2, pp.461-487, 1996.
DOI : 10.1137/0806025