Orthotropic yield criteria for description of the anisotropy in tension and compression of sheet metals

International Journal of Plasticity

Volumn 24, Issue 5, 2008, Pages 847-866

  Plunkett, B ^a   Cazacu, O ^b   Barlat, F ^c  

^a AIR FORCE RESEARCH LABORATORY   (United States)

^b University of Florida   (United States)

^c ALCOA TECHNICAL CENTER   (United States)

Author keywords

Anisotropic yield function; Hexagonal metals; Linear transformations; Tension compression asymmetry

Indexed keywords

ANISOTROPY; COMPACTION; CRYSTAL STRUCTURE; TENSILE STRESS;

ANISOTROPIC YIELD FUNCTION; HEXAGONAL METALS;

SHEET METAL;

EID: 38949139835     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2007.07.013     Document Type: Article

References (25)

1. Barlat F., Lege D.J., and Brem J.C. A six-component yield function for anisotropic materials. Int. J. Plasticity 7 (1991) 693-712
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., and Hattori S. Yielding description of solution strengthened aluminum alloys. Int. J. Plasticity 13 (1997) 185-401
3. Barlat F., Brem J.C., Yoon J.W., Chung K., Dick R.E., Lege D.J., Pourboghrat F., Choi S.-H., and Chu E. Plane stress yield function for aluminum alloy sheet - Part I: Theory. Int. J. Plasticity 19 (2003) 1297-1319
4. Barlat F., Aretz H., Yoon J.W., Karabin M.E., Brem J.C., and Dick R.E. Linear transformation-based anisotropic yield functions. Int. J. Plasticity 21 (2005) 1009-1039
5. Barlat F., Yoon J.W., and Cazacu O. On linear transformation based anisotropic yield functions. Int.J. Plasticity 23 (2006) 876-896
6. Benzerga A.A., Besson J., and Pineau A. Anisotropic fracture Part I: Experiments. Acta Mater. 52 (2004) 4623-4638
7. Bron F., and Besson J. A yield function for anisotropic materials. Application to aluminum alloys. Int. J. Plasticity 20 (2004) 937-963
8. Cazacu O., and Barlat F. Generalization of Drucker's yield criterion to orthotropy. Math. Mech. Solids 6 (2001) 613-630
9. Cazacu O., and Barlat F. Application of representation theory to describe yielding of anisotropic aluminium alloys. Int. J. Eng. Sci. 41 (2003) 1367-1385
10. Cazacu O., and Barlat F. A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals. Int. J. Plasticity 20 (2004) 2027-2045
11. Cazacu O., Plunkett B., and Barlat F. Orthotropic yield criterion for hexagonal close packed metals. Int. J. Plasticity 22 (2006) 1171-1194
12. Hill R. A theory of yielding and plastic flow of anisotropic metals. Proc. Roy. Soc. London A193 (1948) 281-297
13. Hosford W.F. Texture strengthening. Metals Eng. Quart. 6 (1966) 13-19
14. Hosford W.F., and Allen T.J. Twining and directional slip as a cause for strength differential effect. Met. Trans. 4 (1973) 1424-1425
15. Hu W. An orthotropic yield criterion in a 3-D general stress state. Int. J. Plasticity 21 (2005) 1771-1796
16. Kelley E.W., and Hosford W.F. Deformation characteristics of textured magnesium. Trans. TMS-AIME 242 (1968) 654-661
17. Lebensohn R.A., and Tomé C.N. A self-consistent anisotropic approach for the simulation of plastic deformation and texture development of polycrystals: application to zirconium alloys. Acta Metall. Mater. 41 (1993) 2611
18. Lee D., and Backofen W.A. An experimental determination of the yield locus for titanium and titanium-alloy sheet. TMS-AIME 236 (1966) 1077-1084
19. Liu C., Huang Y., and Stout M.G. On the asymmetric yield surface of plastically orthotropic materials: a phenomenological study. Acta Mater. 45 (1997) 2397-2406
20. Lou X.Y., Li M., Boger R.K., Agnew S.R., and Wagoner R.H. Hardening evolution of AZ31B Mg sheet. Int. J. Plasticity 23 (2007) 44-86
21. Plunkett B., Lebensohn R.A., Cazacu O., and Barlat F. Evolving yield function of hexagonal materials taking into account texture development and anisotropic hardening. Acta Mater. 54 (2006) 4159-4169
22. Spitzig R.J., and Richmond O. The effect of pressure on the flow stress of metals. Acta Metall. 32 (1984) 457-463
23. Wang C.C. A new representation theorem for isotropic functions, Part I and II. Arch. Rat. Mech. An. 36 (1970) 166-223
24. Yoon J.W., Barlat F., Chung K., Pourboghrat F., and Yang D.Y. Earing predictions based on asymmetric nonquadratic yield function. Int. J. Plasticity 16 (2000) 1075-1104
25. Życzkowski M. Combined Loadings in the Theory of Plasticity (1981), Polish Scientific Publisher, Warsaw