A yield function for anisotropic materials Application to aluminum alloys

International Journal of Plasticity

Volumn 20, Issue 4-5, 2004, Pages 937-963

  Bron, F ^a,b   Besson, J ^a  

^a PSL RESEARCH UNIVERSITY   (France)

^b ALCAN INTERNATIONAL LIMITED   (Canada)

Author keywords

Anisotropic material; Finite element calculation; Yield function

Indexed keywords

ALUMINUM SHEET; ANISOTROPY; CRYSTALLOGRAPHY; FINITE ELEMENT METHOD; PLASTIC FLOW; PLASTICITY; POLYCRYSTALS; SHEARING; STRESSES; TENSORS; YIELD STRESS;

ANISOTROPIC MATERIALS; ORTHOTROPIC SYMMETRIES; YEILD FUNCTIONS;

ALUMINUM ALLOYS;

EID: 0347600769     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2003.06.001     Document Type: Article

References (32)

1. Achon, P., 1994. Comportement et Ténacité d'Alliages d'Aluminium à Haute Résistance. PhD Thesis, École Nationale Supérieure des Mines de Paris.
2. Barlat F., Becker R.C., Hayashida Y., Maeda Y., Yanagawa M., Chung K., Brem J.C., Lege D.J., Matsui K., Murtha S.J., Hattori S. Yielding description for solution strenghened aluminum alloys. Int. J. Plasticity. 13:1997;385-401.
3. Barlat F., Brem J.C., Yoon J.W., Chung K., Dick R.E., Lege D.J., Pourboghrat F., Choi S.-H., Chu E. Plane stress yield function for aluminum alloy sheets - part 1. theory Int. J. Plasticity. 19:2003;1297-1319.
4. Barlat F., Lege D.J., Brem J.C. A six-component yield function for anisotropic materials. Int. J. Plasticity. 7:1991;693-712.
5. Barlat F., Maeda Y., Chung K., Yanagawa M., Brem J.C., Hayashida Y., Lege D.J., Matsui K., Murtha S.J., Hattori S., Becker R.C., Makosey S. Yield function development for aluminum alloy sheets. J. Mech. Phys. Solids. 45:1997;1727-1763.
6. Besson J., Foerch R. Large scale object-oriented finite element code design. Comput. Meth. Appl. Mech. Engng. 142(1-2):1997;165-187.
7. Bishop J.W.F., Hill R. A theoretical derivation of the plastic properties of polycrystalline face-centered metals. Philos. Mag. 42:1951;1298-1307.
8. Bishop J.W.F., Hill R. A theory of the plastic distortion of a polycrystalline aggregate under combined stresses. Philos. Mag. 42:1951;414-427.
9. Char B.W., Geddes K.G., Gonnet G.H., Watt S.M. Maple V Language Reference Manual. 1991;Springer-Verlag, Berlin.
10. Foerch R., Besson J., Cailletaud G., Pilvin P. Polymorphic constitutive equations in finite element codes. Comput. Meth. Appl. Mech. Engng. 141:1997;355-372.
11. Gürdal Z., Haftka R.T. Elements of Structural Optimization. 1992;Kluwer Academic.
12. Hershey A.V. The plasticity of an isotropic aggregate of anisotropic face-centered cubic crystals. J. Appl. Mech. 21:1954;241-249.
13. Hill R. A Theory of the Yielding and Plastic Flow of Anisotropic Metals. 1948;Proc. Roy. Soc, London.
14. Hill R. The Mathematical Theory of Plasticity. 1950;Clarendon Press, Oxford.
15. Hill R. The Mechanics of Quasi-Static Plastic Deformation in Metals. 1956;Survey in Mechanics, Cambridge.
16. Hosford W.F. A generalize isotropic yield criterion. J. Appl. Mech. 39:1972;607-609.
17. Hosford W.F. On the crystallographic basis of yield criteria. Textures Microstruct. 26-27:1996;479-493.
18. Karafillis A.P., Boyce M.C. A general anisotropic yield criterion using bounds and a transformation weighting tensor. J. Mech. Phys. Solids. 41:1993;1859-1886.
19. Lademo O.-G., Hopperstad O.S., Langseth M. An evaluation of yield criteria and flow rules for aluminium alloys. Int. J. Plasticity. 15(2):1999;191-208.
20. Ladevèze, P., 1980. Sur la Théorie de la Plasticité en Grandes Déformations. Rapport Interne 9, LMT, ENS Cachan, France.
21. Lawrence, C., Zhou, J. L., Tits, A. L., 1994. User's Guide for CFSQP Version 2.0: a C Code for Solving (Large Scale) Constrained Nonlinear (Minimax) Optimization Problems, Generating Iterates Satisfying all Inequality Constraints. Tech. Rep. TR 94-16, Institute for Systems Research, University of Maryland, College Park, MD 20742.
22. Logan R.W., Hosford W.F. Upper-bound anisotropic yield locus calculations assuming. <111> -pencil glide Int. J. Mech. Sci. 22:1980;419-430.
23. Mandel J. Mécanique des Milieux Continus II. 1966;Gauthier-Villars, Paris.
24. Mises, R. v., 1913. Mechanik der festen Körper im plastich-deformablen Zustand. Nachrichten von der königlichen Gelleschaft der Wissenschaften zu Göttingen, mathematisch-physikalische Klasse, pp. 582-592.
25. Monagan M.B., Geddes K.O., Heal K.M., Labahn G., Vorkoetter S.M., McCarron J.P.D. Maple 7 Programming Guide. 2001;Waterloo Maple Inc. Waterloo, Canada.
26. Simo J., Taylor R. Consistent tangent operators for rate-independent elastoplasticity. Comput. Meth. Appl. Mech. Engng. 48:1985;101-118.
27. Taylor G.I. Plastic strains in metals. J. Inst. Met. Engng. Mater. Tech. 62:1938;307-324.
28. Tresca H. Memoir on the flow of solid bodies under strong pressure. Comptes-rendus de l'académie des sciences, Paris, France. 59:1864;754.
29. Wu H.-C. Anisotropic plasticity for sheet metals using the concept of combined isotropic-kinematic hardening. Int. J. Plasticity. 18(12):2002;1661-1682.
30. Wu P.D., Jain M., Savoie J., MacEwen S.R., Tugcu P., Neale K.W. Evaluation of anisotropic yield functions for aluminum sheets. Int. J. Plasticity. 19(1):2003;121-138.
31. Yao H., Cao J. Prediction of forming limit curves using an anisotropic yield function with prestrain induced backstress. Int. J. Plasticity. 18(8):2002;1013-1038.
32. Yoon J.W., Barlat F., Chung K., Pourboghrat F., Yang D.Y. Earing predictions based on asymmetric nonquadratic yield function. Int. J. Plasticity. 16:2000;1075-1104.