Skip to main content
SpringerLink
Log in

Crystallographic analysis of the influence of stress state on earing behavior in deep drawing of face-centered cubic metals

  • Published:
Metallurgical and Materials Transactions A Aims and scope Submit manuscript

Abstract

The Tucker method of earing analysis is modified by introducing the normalized radial strain to represent the radial anisotropic deformation in deep drawing. By means of this method associated with different assumptions on the radial strain contribution of slip, the influence of stress state in the flange of blank on earing behavior is analyzed in detail for some important ideal orientations in face-centered cubic (fcc) metal sheets. The results show that with the change of stress ratio, the ear profiles predicted by the total-slip (TS) model change very slightly for all the orientations, while those by the partial-slip (PS) model change significantly for the (100)[001], (100)[011], (110)[001], and (110)[112] orientations. In both predictions, the change of earing extent with stress ratio is usually large for small stress ratio, i.e., near the outer edge of the blank, and different for various orientations. A simple method is proposed and applied to predict the cup profiles of some aluminum sheets for deep drawing.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. C.S. Da Costa Vianna, G.J. Davies, and J.S. Kallend: Proc. 5th Int. Conf. on Textures of Materials, G. Gottstein and K. Lücke, eds. Springer-Verlag, Berlin, 1978, vol. 2, pp. 447–53.

    Google Scholar 

  2. A. Pochettino, M. Pernot, and R. Penelle: Deformation of Polycrystals, Proc. 2nd Risø Symp. on Metallurgy and Materials Science, N. Hansen, A. Horsewell, T. Leffers, and H. Lilholt, eds., Risø, Roskilde, Denmark, 1981, pp. 205–09.

    Google Scholar 

  3. P.M.B. Rodorigues and P.S. Bate: in Textures in Non-Ferrous Metals and Alloys, H.D. Merchant and J.G. Morris, eds., AIME, Warrendale, PA, 1987, pp. 173–87.

    Google Scholar 

  4. P. Van Houtte, G. Cauwenberg, and E. Aernoudt: Mater. Sci. Eng., 1987, vol. 95, pp. 115–24.

    Article  Google Scholar 

  5. A.D. Rollet, G.R. Canova, and U.F. Kocks: in Formabilities and Mechanical Structures, A.K. Sachdev and J.D. Embury, eds. AIME, Warrendale, PA, 1987, pp. 147–57.

    Google Scholar 

  6. S. Pachanadeeswaran, O. Richmond, and W.G. Fricke, Jr.: Proc. 8th. Int. Conf. on Textures of Materials, J.S. Kallend and G. Gottstein, eds. AIME, Warrendale, PA, 1988, pp. 1104–10.

    Google Scholar 

  7. G.E.G. Tucker: Acta Metall., 1961, vol. 9, pp. 275–86.

    Article  Google Scholar 

  8. H. Inagaki: Z. Metallkd., 1991, vol. 82, pp. 361–72.

    CAS  Google Scholar 

  9. H. Inagaki: Z. Metallkd., 1993, vol. 84, pp. 494–500.

    CAS  Google Scholar 

  10. N. Kanetake, Y. Tozawa, and T. Otani: Int. J. Mech. Sci., 1983, vol. 25, pp. 337–45.

    Article  Google Scholar 

  11. N. Kanetake, Y. Tozawa, and S. Yamamoto: Int. J. Mech. Sci., 1985, vol. 27, pp. 249–56.

    Article  Google Scholar 

  12. N. Kanetake and Y. Tozawa: Textures Microstruct., 1987, vol. 7, pp. 131–47.

    Google Scholar 

  13. N. Kanetake: Textures Microstruct., 1991, vols. 14–18, pp. 1001–06.

    Article  Google Scholar 

  14. R. Hill: Proc. R. Soc. A, 1948, vol. 193, pp. 281–97.

    CAS  Google Scholar 

  15. L. Bourne and R. Hill: Phil. Mag., 1950, vol. 41, pp. 671–81.

    Google Scholar 

  16. M. Gotoh and F. Ishise: Int. J. Mech. Sci., 1978, vol. 20, pp. 423–35.

    Article  Google Scholar 

  17. D. Bauer and F.-U. Leitloff: Metallurgy, 1989, vol. 43, pp. 960–63.

    CAS  Google Scholar 

  18. F. Barlet, S. Panchanadeeswaran, and O. Richmond: Metall. Trans. A, 1991, vol. 22A, pp. 1525–34.

    Google Scholar 

  19. F. Barlet, K. Chung, and O. Richmond: Metall. Mater. Trans. A, 1994, vol. 25A, pp. 1209–16.

    Google Scholar 

  20. C.N. Reid: Deformation Geometry for Materials Scientists, Pergamon Press, Oxford, United Kingdom, 1973, pp. 106–09.

    Google Scholar 

  21. X. Chen and R. Sowerby: Int. J. Mech. Sci., 1992, vol. 34, pp. 159–66.

    Article  Google Scholar 

  22. D.M. Woo: J. Mech. Eng. Sci., 1964, vol. 6, pp. 116–31.

    Google Scholar 

  23. Y.S. Chung and H.W. Swift: Proc. Inst. Mech. Eng. London, 1951, vol. 165, pp. 199–228.

    Google Scholar 

  24. D. Daniel, J. Savoie, and J.J. Jonas: Acta Metall. Mater., 1993, vol. 41, pp. 1907–20.

    CAS  Google Scholar 

  25. S.Y. Li and X.M. Zhang: Proc. Int. Conf. on Modelling and Simulation in Metallurgical Engineering and Materials Science, Z. Yu, Z. Xiao, and X. Xie, eds., Metallurgical Industry Press, Beijing, 1996, pp. 609–13.

    Google Scholar 

  26. S.Y. Li and X.M. Zhang: Acta Metall. Sinica, 1996, vol. 32(8), pp. 884–90.

    CAS  Google Scholar 

  27. S.Y. Li, X.M. Zhang, and G. Gottstein: Proc. 11th Int. Conf. on Textures of Materials (ICOTOM-11), Z. Liang, L. Zuo, and Y. Chu, eds., International Academic Publishers, Beijing, 1996, pp. 805–11.

    Google Scholar 

  28. H.-J. Bunge: Texture Analysis in Materials Science, Butterworth and Co., London, 1982, pp. 226–27.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. the Department of Materials Science and Engineering, Central-South University of Technology, 410083, Changsha, China

    S. Y. Li (Doctoral Candidate) & X. M. Zhang (Professor)

  2. the Southwest Aluminum Fabrication Plant, 631326, Chongqing, China

    H. Z. Zhou (Senior Engineer)

  3. the Institut für Metallkunde und Metallphysik, 52074, Aachen, Germany

    G. Gottstein (Professor)

Authors
  1. S. Y. Li
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. X. M. Zhang
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. H. Z. Zhou
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. G. Gottstein
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Li, S.Y., Zhang, X.M., Zhou, H.Z. et al. Crystallographic analysis of the influence of stress state on earing behavior in deep drawing of face-centered cubic metals. Metall Mater Trans A 28, 785–793 (1997). https://doi.org/10.1007/s11661-997-0065-y

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11661-997-0065-y

Keywords

Search

Navigation