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

T. Anderson, Filler alloy selection for aluminum welding, Aluminum 2001 -Proceedings of the TMS 2001 Aluminum Automotive and joining sessions, pp.295-301, 2001.

F. Andrieux, S. Oeser, J. G. Blauel, S. Dong-zhi, and R. Böschen, The use of micro-mechanical material laws to describe the deformation and failure behaviour of aluminium weld joints, part I. Aluminium 77, 2001.

A. Asserin-lebert, F. Bron, J. Besson, and A. Gourgues, Rupture of 6056 aluminum sheet materials: Effect of sheet thickness on strain localization and toughness, ECF14 -14 t h European Conference on fracture, pp.97-104, 2002.

. Astm, B 871?96 Standard test method for tear testing of aluminum alloy products. Annual Book of astm Standards, pp.2-02, 1996.

J. P. Bandstra and D. A. Koss, Modeling the ductile fracture process of void coalescence by void-sheet formation, Materials Science and Engineering: A, vol.319, issue.321, pp.319-321490, 2001.
DOI : 10.1016/S0921-5093(00)02007-4

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

J. Barralis and G. Maeder, Précis de métallurgie : élaboration, structures?propriétés, normalisation, 1997.

M. Baur and J. G. Blauel, Application of fracture mechanics to the assessment of aluminium weldments, pp.423-435, 1995.

J. Besson, W. Brocks, O. Chabanet, and D. Steglich, Ductile rupture of aluminum sheet materials, European Journal of Finite Elements, vol.10, pp.401-415, 2001.

J. Besson, D. Steglich, and W. Brocks, Modeling of crack growth in round bars and plane strain specimens, International Journal of Solids and Structures, vol.38, issue.46-47, pp.46-478259, 2001.
DOI : 10.1016/S0020-7683(01)00167-6

J. Besson, D. Steglich, and W. Brocks, Modeling of plane strain ductile rupture, International Journal of Plasticity, vol.19, issue.10, pp.1517-1541, 2003.
DOI : 10.1016/S0749-6419(02)00022-0

J. I. Bluhm, A model for the effect of thickness on fracture toughness, ASTM STP 668 Proceedings, pp.1324-1331, 1961.

R. Braun, C. Dalle-donne, and G. Staniek, Laser beam welding and friction stir welding of 6013-T6 aluminium alloy sheet, Materialwissenschaft und Werkstofftechnik, vol.31, issue.12, pp.1017-1026, 2000.
DOI : 10.1002/1521-4052(200012)31:12<1017::AID-MAWE1017>3.0.CO;2-P

F. 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

F. Bron, J. Besson, and A. Pineau, 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

F. Bron, J. Besson, A. Pineau, and J. C. Ehrstrom, Ductile rupture of 2024 aluminum thin sheets -experimental study of damage growth and crack initiation, Proc

C. Cayron and P. A. Buffat, Transmission electron microscopy study of the ????? phase (Al???Mg???Si alloys) and QC phase (Al???Cu???Mg???Si alloys): ordering mechanism and crystallographic structure, Acta Materialia, vol.48, issue.10, pp.2639-2653, 2000.
DOI : 10.1016/S1359-6454(00)00057-4

G. Çam, V. Ventzke, J. F. Santos, M. Koçak, G. Jennequin et al., Characterisation of electron beam welded aluminium alloys, Science and Technology of Welding and Joining, vol.107, issue.5, pp.317-323, 1999.
DOI : 10.1179/imr.1998.43.1.1

D. J. Chakrabarti and D. E. Laughlin, Phase relations and precipitation in Al???Mg???Si alloys with Cu additions, Progress in Materials Science, vol.49, issue.3-4, pp.389-410, 2004.
DOI : 10.1016/S0079-6425(03)00031-8

. Laminage, forgeage, matriçage, tréfilage, étirage et filage par choc de l'aluminium et des alliages d'aluminium, 1997.

S. P. Chen, M. S. Vossenberg, F. J. Vermolen, and J. , Dissolution of ?? particles in an Al???Mg???Si alloy during DSC runs, Materials Science and Engineering: A, vol.272, issue.2, pp.250-256, 1999.
DOI : 10.1016/S0921-5093(99)00518-3

C. Darcourt, Thermomechanical analysis applied to the laser beam welding simulation of aeronautical structures, 2005.

F. Delmas, Influence des traitements thermiques sur les propriétées mécaniques d'un alliage AlMgSiCu, 2002.

R. Develay, Traitements thermiques des alliages d'aluminium. Techniques de l'Ingénieur, 1986.

R. Dif, B. Bès, J. C. Ehrström, C. Sigli, H. Mayet et al., Understanding and Modelling the Mechanical and Corrosion Properties of 6056 for Aerospace Applications, Materials Science Forum, vol.331, issue.337, pp.1613-1618, 2000.
DOI : 10.4028/www.scientific.net/MSF.331-337.1613

B. Dubost and P. Sainfort, Durcissement par précipitation des alliages d'aluminium, 1991.

G. A. Edwards, K. Stiller, G. L. Dunlop, and M. J. Couper, The precipitation sequence in Al???Mg???Si alloys, Acta Materialia, vol.46, issue.11, pp.463893-3904, 1998.
DOI : 10.1016/S1359-6454(98)00059-7

D. Fabrègue, Microstructure et fissuration à chaud lors du soudage laser d'alliages d'aluminium 6000, 2004.

J. Faleskog, X. Gao, and C. F. Shih, Cell model for nonlinear fracture analysis ? I. Micromechanics calibration, International Journal of Fracture, vol.89, issue.4, pp.355-373, 1998.
DOI : 10.1023/A:1007421420901

J. Faleskog and C. F. Shih, Micromechanics of coalescence???I. Synergistic effects of elasticity, plastic yielding and multi-size-scale voids, Journal of the Mechanics and Physics of Solids, vol.45, issue.1, pp.21-50, 1997.
DOI : 10.1016/S0022-5096(96)00078-6

F. Feng and L. Zhenfeng, The effect of post-weld heat treatment on the mechanical properties of AA6082 T6 welds, Aluminum 2001 -Proceedings of the TMS 2001 Aluminum Automotive and joining sessions The Minerals, Metals & Materials Society, pp.129-138, 2001.

W. M. Garrison 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

M. Gologanu, J. B. Leblond, and J. Devaux, Theoretical models for void coalescence in porous ductile solids. II. Coalescence ???in columns???, International Journal of Solids and Structures, vol.38, issue.32-33, pp.5595-5604, 2001.
DOI : 10.1016/S0020-7683(00)00355-3

W. Guo, H. Dong, M. Lu, and X. Zhao, The coupled effects of thickness and delamination on cracking resistance of X70 pipeline steel, International Journal of Pressure Vessels and Piping, vol.79, issue.6, pp.403-412, 2002.
DOI : 10.1016/S0308-0161(02)00039-X

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

M. J. Haas, Grain Boundary Phenomena and Failure of aluminium alloys, 1974.

J. E. Hatch, Aluminium: Properties and Physical Metallurgy, 1984.

A. Heinz, A. Haszler, C. Keidel, S. Moldenhauer, R. Benedictus et al., Recent development in aluminium alloys for aerospace applications, Materials Science and Engineering: A, vol.280, issue.1, pp.102-107, 2000.
DOI : 10.1016/S0921-5093(99)00674-7

A. Hirose, H. Tokada, and K. F. Kobayashi, CO2 laser beam welding of 6061-T6 aluminum alloy thin plate, Metallurgical and Materials Transactions A, vol.236, issue.12, pp.2657-2662, 1997.
DOI : 10.1007/s11661-997-0022-9

M. Hval, R. H. Johnsen, and C. Thaulow, Strength and deformation properties of welded aluminium structures with reference to local design and material properties, pp.167-182, 1995.

R. P. Kambour and S. Miller, Thickness dependence of Gc for shear lip propagation from a single crack propagation specimen: aluminium 6061-T6 alloy, cold-rolled copper and BPA polycarbonate, Journal of Materials Science, vol.34, issue.11, pp.2281-2290, 1977.
DOI : 10.1007/BF00552250

M. Katoh, Factors affecting mechanical properties of laser welded aluminium alloys, Welding International, vol.22, issue.10, pp.771-777, 1996.
DOI : 10.1080/09507119609549088

O. Kessler, C. Prinz, F. Hoffmann, and P. Mayr, Age hardening of laser beam welded aluminium alloy 6082 using scandium containing filler metal, Materials Science and Technology, vol.35, issue.8, pp.913-916, 2002.
DOI : 10.1016/0956-716X(90)90528-O

M. O. Lai and W. G. Ferguson, Effect of specimen thickness on fracture toughness, Engineering Fracture Mechanics, vol.23, issue.4, pp.649-659, 1986.
DOI : 10.1016/0013-7944(86)90112-8

S. Mahmoud and K. Lease, The effect of specimen thickness on the experimental characterization of critical crack-tip-opening angle in 2024-T351 aluminum alloy, Engineering Fracture Mechanics, vol.70, issue.3-4, pp.443-456, 2003.
DOI : 10.1016/S0013-7944(02)00130-3

K. Matsuda, T. Kawabata, T. Uetani, S. Sato, and . Ikeno, Hexagonal tabular ??-phase in Al???Mg???Si???Cu alloy, Scripta Materialia, vol.47, issue.7, pp.467-471, 2002.
DOI : 10.1016/S1359-6462(02)00173-2

W. A. Jr, H. Mccarthy, F. V. Lamba, . Jr, and . Lawrence, Effects of porosity on the fracture thoughness of 5083, 5456, and 6061 aluminum alloys weldments, Welding research bulletin, issue.261, 1980.

W. Miao and D. E. Laughlin, Precipitation hardening in aluminum alloy 6022, Scripta Materialia, vol.40, issue.7, pp.873-878, 1999.
DOI : 10.1016/S1359-6462(99)00046-9

W. S. Miller, L. Zhuang, J. Bottema, A. J. Wittebrood, P. D. Smet et al., Recent development in aluminium alloys for the automotive industry, Materials Science and Engineering: A, vol.280, issue.1, pp.37-49, 2000.
DOI : 10.1016/S0921-5093(99)00653-X

S. Missori and A. Sili, Mechanical behavior of 6082-T6 aluminum alloy welds, Metallurgical Science and Technology, vol.18, pp.12-18, 2000.

D. W. Moon and E. A. Metzbower, Laser beam welding of aluminium alloy 5456, Welding Journal, vol.62, issue.2, pp.535-585, 1983.

O. R. Myhr, O. Grong, and S. J. Andersen, Modelling of the age hardening behaviour of Al???Mg???Si alloys, Acta Materialia, vol.49, issue.1, pp.65-75, 2001.
DOI : 10.1016/S1359-6454(00)00301-3

A. Needleman and J. R. Rice, Limits to Ductility Set by Plastic Flow Localization, Mechanics of Sheet Metal Forming, pp.237-267, 1978.
DOI : 10.1007/978-1-4613-2880-3_10

P. Nègre, D. Steglich, W. Brocks, and M. Koçak, Numerical simulation of crack extension in aluminium welds, Computational Materials Science, vol.28, issue.3-4, pp.723-731, 2003.
DOI : 10.1016/j.commatsci.2003.08.026

T. Pardoen and J. W. Hutchinson, Micromechanics-based model for trends in toughness of ductile metals, Acta Materialia, vol.51, issue.1, pp.133-148, 2003.
DOI : 10.1016/S1359-6454(02)00386-5

T. Pardoen, Y. Marchal, and F. Delannay, Thickness dependence of cracking resistance in thin aluminium plates, Journal of the Mechanics and Physics of Solids, vol.47, issue.10, pp.2093-2123, 1999.
DOI : 10.1016/S0022-5096(99)00011-3

V. M. Periasamy, S. Sundararajan, S. D. Pathak, and V. M. Radhakrishnan, Effect of welding and post weld heat treatments on the tensile and fracture toughness behavior of Al-Mg-Si alloy. Transactions of The Indian Institute of Metals, pp.373-382, 1995.

J. Rapp, C. Glumann, F. Dausinger, and H. Hügel, The effect of magnesium evaporation in laser welding of aluminium alloys, CISFFEL-5, 5 ime colloque International sur le soudage et la fusion par faisceaux d'électrons et Laser, pp.275-282, 1993.

J. Rice and D. Tracey, On the ductile enlargement of voids in triaxial stress fields???, Journal of the Mechanics and Physics of Solids, vol.17, issue.3, pp.201-217, 1969.
DOI : 10.1016/0022-5096(69)90033-7

J. R. Rice, The localisation of plastic deformation, 14 th International Conference of Theoretical and Applied Mechanics, pp.207-220, 1976.

F. Rivalin, J. Besson, M. D. Fant, and A. Pineau, Ductile tearing of pipeline-steel wide plates, Engineering Fracture Mechanics, vol.68, issue.3, pp.347-364, 2000.
DOI : 10.1016/S0013-7944(00)00108-9

J. Ruste, Spectrométrie des rayons X. Les éditions de physique, 1978.

E. Sarrazin, Modélisation du soudage d'alliages d'aluminium, 1995.

M. H. Scott and M. F. Gittos, Tensile and toughness properties of welded 5083 and 6082 aluminum alloys, Welding Journal, vol.62, issue.9, pp.12-18, 1983.

W. J. Shaw, Characterization of weld microstructures in 2024 aluminum alloy, International Metallographic Society Technical, 1992.

J. C. Simo and R. L. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Computer Methods in Applied Mechanics and Engineering, vol.48, issue.1, pp.101-118, 1985.
DOI : 10.1016/0045-7825(85)90070-2

S. Taira and K. Tanaka, Thickness effect of notched metal sheet on deformation and fracture under tension, Engineering Fracture Mechanics, vol.11, pp.231-249, 1979.

B. Tanguy, Modélisation de l'essai Charpy par l'approche locale de la rupture

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

C. E. Turner and O. Kolednik, Application of energy dissipation rate arguments to stable crack growth. Fatigue and Fracture of Engineering Materials and Structures, pp.1109-1127, 1994.

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

P. Voisin, Métallurgie extractive de l'aluminium. Techniques de l'Ingénieur, pp.2340-2342, 1992.

J. Y. Yao, D. A. Graham, B. Rinderer, and M. J. Couper, A TEM study of precipitation in Al???Mg???Si alloys, Micron, vol.32, issue.8, pp.865-870, 2001.
DOI : 10.1016/S0968-4328(00)00095-0

Z. L. Zhang and H. Hauge, On the Gurson Micro-Mechanical Parameters, Fatigue and Fracture Mechanics : Twenty?Ninth volume, pp.364-383, 1999.
DOI : 10.1520/STP14958S

R. E. Zinkham, Anisotropy and thickness effects in fracture of 7075-T6 aluuminum alloy, Engineering Fracture Mechanics, pp.275-289, 1968.