A mathematical description of orthotropy in sheet metals

Journal of the Mechanics and Physics of Solids

Volumn 54, Issue 2, 2006, Pages 425-444

  Leacock, Alan G ^a  

^a UNIVERSITY OF ULSTER   (United Kingdom)

Author keywords

Anisotropic material; Constitutive behaviour; Metallic materials; Plastic anisotropy; Yield surfaces

Indexed keywords

ALUMINUM; MATHEMATICAL MODELS; PLASTICITY; STRESS ANALYSIS;

ORTHOTROPIC PLASTICITY; PLANE STRESS;

SHEET METAL;

EID: 28844488279     PISSN: 00225096     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jmps.2005.08.008     Document Type: Article

References (27)

1. M. Atkinson Accurate determination of biaxial stress-strain relationships from hydraulic bulging tests of sheet metals Int. J. Mech. Sci. 39 7 1997 761 769
2. F. Barlat, D.J. Lege, and J.C. Brem A six-component yield function for anisotropic materials Int. J. Plasticity 7 1991 693 712
3. F. Barlat, Y. Maeda, K. Chung, M. Yanagawa, J.C. Brem, Y. Hayashida, D.J. Lege, K. Matsui, S.J. Murtha, S. Hattori, R.C. Becker, and S. Makosey Yield function development for aluminium alloy sheets J. Mech. Phys. Solids 45 11 1997 1727 1763
4. F. Barlat, R.C. Becker, Y. Hayashida, Y. Maeda, M. Yanagawa, K. Chung, J.C. Brem, D.J. Lege, K. Matsui, S.J. Murtha, and S. Hattori Yielding description for solution strengthened aluminum alloys Int. J. Plasticity 13 4 1997 385 401
5. F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, R.E. Dick, D.J. Lege, F. Pourboghrat, S.H. Choi, and E. Chu Plane stress yield function for aluminum alloy sheets - part 1: theory Int. J. Plasticity 19 2003 1297 1319
6. J.L. Bassani Yield characterisation of metals with transversely isotropic plastic properties Int. J. Mech. Sci. 19 1977 651 660
7. R. Bell, J.L. Duncan, and I.H. Wilson An autographic hydrostatic sheet-metal testing machine Proc. Inst. Mech. Eng. 180 3A 1965 261 268
8. J.P.P. Boehler, S. Demmerle, and S. Koss A new direct biaxial testing machine for anisotropic materials Exp. Mech. 34 1994 1 9
9. B. Dodd, and R.M. Caddell On the anomalous behaviour of anisotropic sheet metals Int. J. Mech. Sci. 26 2 1984 113 118
10. M. Gotoh A theory of plastic anisotropy based on yield function of fourth order (plane stress state) - I Int. J. Mech. Sci. 19 1977 505 512
11. M. Gotoh A theory of plastic anisotropy based on yield function of fourth order (plane stress state) - II Int. J. Mech. Sci. 19 1977 513 520
12. S.S. Hecker Simple technique for determining forming limit curves Sheet Metal Industries 11 1975 671 676
13. R. Hill The Mathematical Theory of Plasticity 1950 Oxford University Press Oxford
14. R. Hill Theoretical plasticity of textured aggregates Math. Proc. Cambridge Philos. Soc. 85 1979 179 191
15. R. Hill Constitutive modelling of orthotropic plasticity in sheet metals J. Mech. Phys. Solids 38 3 1990 405 417
16. R. Hill A user-friendly theory of orthotropic plasticity in sheet metals Int. J. Mech. Sci. 35 1 1993 19 25
17. R. Hill Classical plasticity: a retrospective view and a new proposal J. Mech. Phys. Solids 42 11 1994 1803 1816
18. R. Hill A general theory of plastic deformation and instability in thin walled tubes under combined loading J. Mech. Phys. Solids 44 12 1996 2041 2057
19. W. Hu Characterised behaviours and corresponding yield criterion of anisotropic sheet metals Mater. Sci. Eng. A 331 1 2003 33 40
20. W. Hu An orthotropic yield criterion in a 3-D general stress state Int. J. Plasticity 21 9 2005 1771 1796
21. O.G. Lademo, O.S. Hopperstad, and M. Langseth An evaluation of yield criteria and flow rules for aluminium alloys Int. J. Plasticity 15 2 1999 191 208
22. S.B. Lin, and J.L. Ding Experimental study of the plastic yielding of rolled sheet metals with the cruciform plate specimen Int. J. Plasticity 11 5 1995 583 604
23. S.B. Lin, and J.L. Ding Modified form of Hill's orientation-dependent yield criterion for orthotropic sheet metals J. Mech. Phys. Solids 44 11 1996 1739 1764
24. A.J. Ranta-Eskola Use of the hydraulic bulge test in biaxial tensile testing Int. J. Mech. Sci. 21 1979 457 465
25. T.B. Stoughton A non-associated flow rule for sheet metal forming Int. J. Plasticity 18 5-6 2002 687 714
26. Z. Wexian A new non-quadratic orthotropic yield criterion Int. J. Mech. Sci. 32 6 1990 513 520
27. H. Wu, Hong-Ki Hong, and Ya-po Shiao Anisotropic plasticity with application to sheet metals Int. J. Mech. Sci. 41 1999 702 724