8. Bacroix and P. Gilormini, Finite-element simulations of earing in polycrystalline materials using a texture-adjusted strain-rate potential, Modelling and Simulation in Materials Science and Engineering, vol.3, issue.1
DOI : 10.1088/0965-0393/3/1/001

F. Barlat, R. , and O. , Prediction of tricomponent plane stress yield surfaces and associated flow and failure behavior of strongly textured f.c.c. polycrystalline sheets, Materials Science and Engineering, vol.95, pp.15-29, 1987.
DOI : 10.1016/0025-5416(87)90494-0

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

F. Barlat, S. Panchanadeeswaran, and R. , Prediction of earing in cup drawing fcc maaerials, Textures and Microsttuctures1E, vol.14, issue.0, pp.5-7, 1991.

J. P. Boehler and J. And-raclin, Anisotropic Hardening of Prestrained Rolled Sheet- Steel"jn Current Advances in Mechanical Design and Production, p.483

L. Bourne, R. , and M. A. Ph, On the Correlation of the Directional Properties of Rolled Sheet in Tension and Cupping Tests, Progress in Metal Physics, vol.1, pp.281-305, 1949.

8. Budiansky and W. N. , On the Swift cup test, Journal of the Mechanics and Physics of Solids, vol.14, issue.6, pp.357-374, 1966.
DOI : 10.1016/0022-5096(66)90010-X

8. G. Budiansky, R. T. Dvorak, and . Shield, uAnisotropic Plasticity of Plane-Isotropic Sheets, Mechanics of Material Behaviour, p.15

I. L. Cao, Modélisation mécanique et simulation numérique de I'emboutissage, Thèse de Doctorat de I'université de Grenoble, 1990.

K. S. Chan, Effects of Plastic Anisotropy and Yield Surface on Sheet Metal Strerchability, Metall. Trans. l6L, p.629

E. Chater and N. K. , Finite plastic deformation of a circular membrane under hydrostatic pressure???II, International Journal of Mechanical Sciences, vol.25, issue.4, pp.235-244
DOI : 10.1016/0020-7403(83)90027-9

\. F. Chen and D. Han, Plasticity for Structural Engineers, pp.233-289, 1988.
DOI : 10.1007/978-1-4612-3864-5

K. Chung and K. Shah, Sheet forming simulation based on Barlat's planar anisotropic yield criterion" Al-coa Laboratories, 1992.

K. Chung and R. O. , A deformation theory of plasticity based on minimum work paths, International Journal of Plasticity, vol.9, issue.8, pp.907-920, 1993.
DOI : 10.1016/0749-6419(93)90057-W

C. S. Da-costa-viana, D. Avila, and N. V. , Earing Prediction From Experimental and Texture Data, Materials Science Forum, vol.157, issue.162, pp.157-1621961, 1994.
DOI : 10.4028/www.scientific.net/MSF.157-162.1961

A. Daneri, S. Giambuzzi, and G. Toselli, Recent analysis with friction and anisotropy effects by ABAQUS for two italian experimental deep-drawing models", ABAQUS user's conference proceedings, pp.2-132, 1990.

M. Darrieulat, R. Fortunier, and F. Montheillet, Invariant formulation of anisotropic plastic behaviour in the case of cubic symmetry, International Journal of Plasticity, vol.8, issue.7, pp.763-771, 1992.
DOI : 10.1016/0749-6419(92)90001-S

A. Dogui, Plasticité anisotrope en grandes déformations, Thèse de Doctorat ès- Sciences, 1939.

D. C. Drucker, Relation of Experiments to Mathematical Theories of Plasticity, J. Appl. Mech, vol.16, p.349, 1949.

G. Ferron, R. Makkouk, and J. Morreale, A parametric description of orthotropic ptasticity in metal sheets, Int. J. of Plasticity, vol.10, pp.43-52, 1994.

D. François, A. Pineau, and A. Et-zaoui, Comportement mécanique des matériaux', volume I, 1991.

M. Gotoh, A theory of plastic anisotropy based on a yield function of fourth order (plane stress state)???I, International Journal of Mechanical Sciences, vol.19, issue.9, pp.505-513
DOI : 10.1016/0020-7403(77)90043-1

M. Grumbach, P. Parnière, L. Roesch, and C. Sauzay, Étude des relations quantitatives ente le coefFrcient d'anisotropie, les cornes d'emboutissage et la aexturc des tôles minces d'acier extra-doux, Mémoires Scientifiques Revue Métallurgie Mars, pp.241-253, 1975.

S. S. Hecker and M. G. Stout, strain Hardening of Heavily Cold V/orked Metals, Proc. of the seminar "Deformation, Processing and Structure, 1983.

. D. Ilibbitt-"-h, Some issues in numericat simulation of nonlinear stnrctural response, Comp. Meth. for Stnrc. Mech. and Dynamics, 1985.

H. D. Hibbitt, . Karlsson, and . Sorensen, ABAQUS, THEORY and USER's manuals (versions 4.815.4) 1080 Main StreeL, 1994.

R. Ilill, The Mathematical Theory of Plasticity, 1950.

R. Hill and M. A. Ph, A theory of plastic bulging of a metal diaphragm by laaeral pressure, Phil. Mag.Ser, vol.7, issue.41, pp.1133-1142

R. Ilill, Constitutive Modelling of Orttrotropic Plasticity in Sheet Metals, J. Mech. Phys. Solids, vol.38, p.405, 1990.

M. F. Ilahi, A. Rparmar, and P. B. Mellor, Hydrostatic bulging of a circular aluminium diaphragm, International Journal of Mechanical Sciences, vol.23, issue.4, pp.221-227, 1981.
DOI : 10.1016/0020-7403(81)90047-3

P. F. Ilahirm, Hydrostatic bulging of a circular soft brass diaphragm, Int. J. Mech. Sci, vol.27, p.280

A. P. Karafillis and M. C. Boyce, A General Anisotropic Yield Criaerion Using Bounds and a Transformation Weighting Tensor, J. Mech. Phys. Solids

Y. Kim and Y. D. , A rigid-plastic finiae element formulation considering the effect of geometric change and its application to hydrostatic bulging, Inaernational Journal of Mechanical Science, vol.278, issue.7, pp.453-463

S. Kobayashi and K. J. Ii, Deformation analysis of axisymmetric sheet metal forming processes by the rigid-plastic finiae element method, Mechanics of sheet Metal Forming, p.341

J. R. Knibloe and R. H. Wagoner, Experimental investigation and finite element modeling of hemispherically stretched steel sheet, Metallurgical Transactions A, vol.29, issue.5, pp.1509-1521, 1989.
DOI : 10.1007/978-1-4613-2880-3_8

D. Lege, F. Barlat, and J. C. Brem, Characterization and Modeling of the Mechanical Behaviour and Formability of a 2008-T4 Sheet Sample, Int. J. Mech Sci, pp.31-549, 1989.

P. Lequeu, Earing Control and Deformation Processing of Aluminium Alloys, Textures and Microstructures, vol.14, pp.1019-1024, 1991.
DOI : 10.1155/TSM.14-18.1019

J. Lian, D. Zhou, and B. , Application of Hill's New Yield Theory to Sheet Metal Forming, Inr J. Mech. Sci, issue.8, pp.31-237

S. A. Majlessi and L. D. , Deep Drawing of Square-Shaped Sheet Metal Parts, Part 1: Finite Element Analysis, Journal of Engineering for Industry, vol.115, issue.1, pp.102-109, 1993.
DOI : 10.1115/1.2901623

R. Makkouk, Modélisation de la plasticité orthotrope en contraintes planes, application à la détermination des limites de formage des tôles, Thèse de doctorat de I'université, 1994.

R. Mesrar, Comportement Plastique des toles sous sollicitation biaxiale et analyse numérique de la mise en forme par gonflement hydraulique, Thèse de doctorat de I'universié, 1991.

J. C. Nagtegaal, D. Jong, and J. E. , Some computational aspects of elastic-plastic large strain analysis, International Journal for Numerical Methods in Engineering, vol.10, issue.1, pp.5-41
DOI : 10.1016/B978-0-12-253250-4.50031-2

M. Orliz and P. E. , Accuracy and subility of inaegration algorithms for elastoplastic constitutive relations, krt J. For Num. Meth. in Engineering, vol.21, pp.1561-1576, 1985.

M. 9116z and S. J. , An analysis of a new class of integration algorithms for elastoplastic constitutive relations, Inr J. For Num. Meth. in Engineering, vol.23, pp.353-366

D. M. Parks, Developments in Constitutive Modeling: Applications of the ABAQUS LIMAT Routine", ABAQUS user's conference proceedings, pp.1-13

A. Parmar and P. B. Mellor, Predictions of limit strains in sheet metal using a more general yield criterion, International Journal of Mechanical Sciences, vol.20, issue.6, pp.385-391
DOI : 10.1016/0020-7403(78)90041-3

P. Parniere, S. G. Ed, C. Chap, and X. , Appréciation des caractéristiques d'emboutissabilité des tôles minces, pp.305-330

S. Ronel, Modélisation du profilage de tôles minces par une méthode d'éléments finis Thèse de doctorat de I'INSA Lyon 190 pages, 1994.

I. M. Shang, F. S. Chau, K. H. Lee, C. J. Tay, and S. L. Toh, Modeling of the Hydroforming of Sheet Materials Clamped With Varying Blank Holding Loads, Journal of Engineering Materials and Technology, vol.109, issue.1, pp.92-97, 1987.
DOI : 10.1115/1.3225941

J. C. Simo and R. Taylor, Consistent tangent operators for rate-independent elastoplasticity, Meth. in App.Mech. and Engineering.Vol43, pp.101-118, 1985.
DOI : 10.1016/0045-7825(85)90070-2

R. E. Smelser and R. Becker, ABAQUS User subroutines for Material Modeling, Fabricating Technology Division. Alcoa Laboratories, p.15069, 1990.

2. ;. Tourki, R. Makkouk, A. Zeghloul, and G. Ferron, Orthotropic plasticity in metal sheets: a theoretical framework, Journal of Materials Processing Technology, vol.45, issue.1-4, pp.453-458, 1994.
DOI : 10.1016/0924-0136(94)90381-6

2. Tourki, A. Zeghloul, and G. Ferron, Sheet metal forming simulations using a new model for orthotropic plasticity, Submitted for publication to the Inaernational Journal COMPII"IATIONAL MATERIAL SCIENCES. Nov. (1ee4)
DOI : 10.1016/0927-0256(95)00076-3

G. E. Tucker, Texture and earing in deep drawing of aluminium, Acta Metallurgica, vol.9, issue.4, pp.275-286, 1961.
DOI : 10.1016/0001-6160(61)90220-6

A. Van-bael, P. Van-houtte, and E. Aernoudt, Anisotropic finite-element analysis of plastic metal forming processes, Textures and Microstructures, pp.14-1007, 1991.

P. Van-houtte, G. Cauwenberg, and E. Aernoudt, Analysis of earing behaviour of aluminium 3004 alloys by means of a simple model based on yield loci, MaL Sci. and Eng. Vol95, pp.5-124, 1987.

R. H. Wagoner, Comparison of plane-strain and tensile work hardening in two sheet steel alloys, Metallurgical Transactions A, vol.51, issue.5, pp.877-882, 1981.
DOI : 10.1007/BF02648510

N. M. Wang, M. Rand-shammanry, and . Rr, On the plastic bulging of a circular diaphragm by hydrostatic pressure, Journal of the Mechanics and Physics of Solids, vol.17, issue.1, pp.43-61
DOI : 10.1016/0022-5096(69)90012-X

N. M. Wang, Large Plastic Deformation of a Circular Sheet Caused by Punch Stretching, Journal of Applied Mechanics, vol.37, issue.2, pp.431-475, 1970.
DOI : 10.1115/1.3408524

N. M. Wang and B. , Analysis of Sheet Metal Stamping by a Finite-Element Method, Journal of Applied Mechanics, vol.45, issue.1, pp.73-82, 1978.
DOI : 10.1115/1.3424276

D. M. Woo, Analysis of the Cup-Drawing Process, Journal of Mechanical Engineering Science, vol.166, issue.4, pp.116-131, 1964.
DOI : 10.1243/PIME_PROC_1955_169_111_02

D. M. \iloo, The analysis of axisymmetric forming of sheet metal and the hydrostatic bulging process, J. Mech. Eng. Science, vol.6, pp.303-317, 1964.

D. M. \iloo, The stretch-forming test, TIIE ENGINEER, pp.876-880

D. M. \iloo, On the compleûe solution of the deep-drawing problem, Int. I. Mech. Sci, vol.10, pp.83-94

Y. Yamada and Y. N. , Plastic stress-strain matrix and its application for the solution of elastic plastic problems by the finiae element method, Int. J

A. Zegbloul and F. G. , ABAQUS analysis of the forming limits of metal sheets" ABAQUS user's conference proceedings, 1992.

4. Zeghloul, R. Makkouk, . Tourki-2, and G. Ferron, Modélisation du comportement plastiqrae des tôles orthotropes, et répartition des déformations en emboutissage, Méthodes Informatiques de la Conception Industrielle - Mécanique des Structures, 1993.

T. Analyse-par-ta-méthode-des-différences-finies and .. , 26 T-4-4Analyse irar la méthode des éléments finis, p.31

R. Théorie-de-barlat, 99 I ), p.39

S. Tr-3, 52 tr-3-1 Inroduction, p.52

.. Calcufincrémental, 57 tr-3-3 Processus âe h simulation tr-3-3-l Description de la géométrie, II-3-2-4 Equations cinématiques, pp.44-260

S. De-l-'emboutissage and G. De, 6 I tr-4-l Introduction, p.61

.. Il-4-zhypothèsesetformulationanalytique, 62 n-+Z-t fouations d'équilibre, p.63

G. Rv-2 and .. I{rdraulique, 1l0 lV-z-l

.. Un-matériau-À-anisotropie-transverse, 140 IV-4-2-l Validation des logiciels -Influence de la forme de la surface de plasticité, p.140