Prediction of six or eight ears in a drawn cup based on a new anisotropic yield function

International Journal of Plasticity

Volumn 22, Issue 1, 2006, Pages 174-193

  Yoon, J W ^a,b   Barlat, F ^a,b   Dick, R E ^a   Karabin, M E ^a  

^a ALCOA TECHNICAL CENTER   (United States)

^b UNIVERSITY OF AVEIRO   (Portugal)

Author keywords

Aluminum alloy; Anisotropy; Earing; Finite element method; Sheet forming; Yield function

Indexed keywords

ALUMINUM ALLOYS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; FUNCTIONS; INTEGRATION; MATERIALS SCIENCE; PLASTICITY;

EARING; SHEET FORMING; SHEET SAMPLES; YIELD FUNCTION;

ANISOTROPY;

EID: 24044493223     PISSN: 07496419     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijplas.2005.03.013     Document Type: Article

References (39)

1. Andersson, A., Ohlsson, C.A, Mattiason, K., Persson, B., 1999. Implementation and evalustion of the Karafillis-Boyce material model for anisotropic metal sheets. In: Gelin, J.C., Picart, P. (Eds.), Proceedings of NUMISHEET'99, vol. 1, Besancon, France, pp. 115-121.
2. D. Banabic, H. Aretz, D.S. Comsa, and L. Paraianu An improved analytical description of orthotropy in metallic sheets Int. J. Plasticity 21 2005 493 512
3. F. Barlat, D.J. Lege, and J.C. Brem A six-component yield function for anisoropic metals Int. J. Plasticity 7 1991 693
4. F. Barlat, S. Panchanadeeswaran, and O. Richmond Earing in cup drawing face-centered cubic single crystals and polycrystals Metall. Trans. A 22 1991 1525
5. F. Barlat, and K. Chung Anisotropic potentials for plastically deforming metals Modelling Simul. Mater. Sci. Eng. 1 1993 403
6. F. Barlat, K. Chung, and O. Richmond Strain rate potential for metals and its application to minimum plastic work path calculations Int. J. Plasticity 9 1993 1
7. F. Barlat, K. Chung, and O. Richmond Anisotropic plastic potentials for polycrystals and application to the design of optimum blank shapes in sheet forming Metall. Mater. Trans. A 25 1994 1209
8. 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 aluminum alloy sheet J. Mech. Phys. Solids 45 1997 1727
9. 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 of solution strengthened aluminum alloys Int. J. Plasticity 13 1997 385
10. F. Barlat, J.C. Brem, J.W. Yoon, K. Chung, R.E. Dick, S.H. Choi, F. Pourboghrat, E. Chu, and D.J. Lege Plane stress yield function for aluminum alloy sheets Int. J. Plasticity 19 2003 1297
11. F. Barlat, H. Aretz, J.W. Yoon, M.E. Karabin, J.C. Brem, and R.E. Dick Linear transformation based anisotropic yield function Int. J. Plasticity 21 2005 1009
12. F. Bron, and J. Besson A yield function for anisotropic materials. Application to aluminum alloys Int. J. Plasticity 21 2004 937 963
13. O. Cazacu, and F. Barlat A criterion for description of anisotropy and yield differential effects in pressure-insensitive metals Int. J. Plasticity 21 2004 2027 2045
14. K. Chung, and O. Richmond A deformation theory of plasticity based on minimum work paths Int. J. Plasticity 9 1993 907 920
15. K. Chung, and K. Shah Finite element simulation of sheet metal forming for planar anisotropic metals Int. J. Plasticity 8 1992 453
16. K. Chung, S.Y. Lee, F. Barlat, Y.T. Keum, and J.M. Park Finite element simulation of sheet forming based on a planar anisotropic strain-rate potential Int. J. Plasticity 12 1996 93
17. K. Chung, F. Barlat, J.C. Brem, D.J. Lege, and O. Richmond Blank shape design for a planar anisotropic sheet based on ideal sheet forming design theory and FEM analysis Int. J. Mech. Sci. 39 1997 105
18. K. Chung, M.-G. Lee, D. Kim, C. Kim, M.L. Wenner, and F. Barlat Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. Part I: theory and formulation Int. J. Plasticity 21 2005 861 882
19. M. Gotoh, and F. Ishise A finite element analysis of rigid-plastic deformation of the flange in a deep-drawing process based on a fourth-degree yield function Int. J. Mech. Sci. 20 1978 423
20. D.E. Green, K.W. Neale, S.R. MacEwen, A. Makinde, and R. Perrin Experimental investigation of the biaxial behaviour of an aluminum sheet Int. J. Plasticity 21 2004 1677 1706
21. A.M. Habraken, and L. Duchêne Anisotropic elasto-plastic finite element analysis using a stress-strain interpolation method based on a polycrystalline model Int. J. Plasticity 21 2004 1525 1560
22. C.S. Han, K. Chung, R.H. Wagoner, and S.I. Oh A multiplicative finite elasto-plastic formulation with anisotropic yield functions Int. J. Plasticity 19 2003 197
23. R. Hill A theory of the yielding and plastic flow of anisotropic metals Proc. Roy. Soc. Lond. A 193 1948 281
24. W.F. Hosford, and R.M. Caddell Metal forming: mechanics and metallurgy 1983 Prentice-Hall Englewood Cliffs, NJ
25. A.P. Karafillis, and M.C. Boyce A general anisotropic yield criterion using bounds and a transformation weighting tensor J. Mech. Phys. Solids 41 1993 1859
26. M.-G. Lee, D. Kim, C. Kim, Wenner, R.H. Wagoner, and K. Chung Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. Part II: characterization of material properties Int. J. Plasticity 21 2005 883 914
27. M.-G. Lee, D. Kim, C. Kim, Wenner, and K. Chung Spring-back evaluation of automotive sheets based on isotropic-kinematic hardening laws and non-quadratic anisotropic yield functions. Part III: applications Int. J. Plasticity 21 2005 915 953
28. S.Y. Lee, Y.T. Keum, K. Chung, J.M. Park, and F. Barlat 3-D FEM simulation of stamping processes for planar anisotropic sheet metals Int. J. Mech. Sci. 39 1997 1181
29. D. Raabe, and F. Roters Using texture components in crystal plasticity finite element simulations Int. J. Plasticity 21 2004 339 361
30. P. Tuǧcu, and K.W. Neale On the implementation of anisotropic yield functions into finite strain problems of sheet metal forming Int. J. Plasticity 15 1999 1021
31. P. Tuǧcu, P.D. Wu, and K.W. Neale On the predictive capabilities of anisotropic yield criteria for metals undergoing shearing deformations Int. J. Plasticity 18 2002 1219
32. M.J. Worswick, and M.J. Finn The numerical simulation of stretch flange forming Int. J. Plasticity 16 2000 701
33. Wu, P.D., MacEwen, S.R., Lloyd, D.J., Jain, M., Tugcu, P., Neale, K.W., 2005. On pre-straining and the evolution of material anisotropy in sheet metals. Int. J. Plasticity 21, 723-739.
34. D.Y. Yang, and Y.J. Kim A rigid-plastic finite element calculation for the analysis of general deformation of planar anisotropic sheet metals and its application Int. J. Mech. Sci. 28 1986 825
35. J.W. Yoon, I.S. Song, D.Y. Yang, K. Chung, and F. Barlat Finite element method for sheet forming based on an anisotropic strain-rate potential and the convected coordinate system Int. J. Mech. Sci. 37 1995 733
36. J.W. Yoon, D.Y. Yang, and K. Chung Elasto-plastic finite element method based on incremental deformation theory and continuum based shell elements for planar anisotropic sheet materials Comput. Meth. Appl. Mech. Eng. 174 1999 23
37. J.W. Yoon, D.Y. Yang, K. Chung, and F. Barlat A general elasto-plastic finite element formulation based on incremental deformation theory for planar anisotropy and its application to sheet metal forming Int. J. Plasticity 15 1999 35
38. J.W. Yoon, F. Barlat, K. Chung, F. Pourboghrat, and D.Y. Yang Earing predictions based on asymmetric nonquadatic yield function Int. J. Plasticity 16 2000 1075
39. J.W. Yoon, F. Barlat, R.E. Dick, K. Chung, and T.J. Kang Plane stress yield function for aluminum alloy sheet - Part II: FE Formulation and its implementation Int. J. Plasticity 20 2004 495