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Correlation of Earing and Texture in Weakly Orthotropic Sheets of Cubic Metals

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Review of Progress in Quantitative Nondestructive Evaluation

Abstract

It has long been recognized that the earing of deep-drawn cups is due to the anisotropy of rolled sheets (cf. Hill [1] and the references therein). Earlier experimental studies show indications that the percent earing ε r of rolled sheets might be correlated to their planar anisotropy Δ r [2, 3] or to the parameter \({{\Delta r} \mathord{\left/ {\vphantom {{\Delta r} {\bar r}}} \right. \kern-\nulldelimiterspace} {\bar r}}\left[ 4 \right]\) , where \({\bar r}\) is the average (plastic) strain ratio. Attempts [5–8] have been made to correlate earing behavior with polycrystalline texture, among which are two recent studies [7, 8] on aluminum sheets that report correlation of ε r with the coefficient W 440 of the orientation distribution function [9].

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References

  1. R. Hill, The Mathematical Theory of Plasticity (Clarendon Press, Oxford, 1950).

    MATH  Google Scholar 

  2. W.M. Baldwin, T.S. Howard and A.W. Ross, Trans. Amer. Inst. Min. Met. Eng. 166, 86 (1946).

    Google Scholar 

  3. S. Fukui and H. Kudo, Rep. Inst. Sci. Tech. Univ. Tokyo 4, 33 (1950).

    Google Scholar 

  4. D.V. Wilson, and R.D. Butler, J. Inst. Metals 90, 473 (1962).

    Google Scholar 

  5. J. Hirsch, R. Musick and K. Lücke, in Textures of Materials, Vol. 2, eds. G. Gottstein and K. Lücke (Springer, Berlin, 1978), p. 437.

    Google Scholar 

  6. C.S. Da Costa Viana, G.J. Davies and J.S. Kallend, in Textures of Materials, Vol. 2, eds. G. Gottstein and K. Lücke (Springer, Berlin, 1978), p. 447.

    Google Scholar 

  7. W.Y. Lu, J.G. Morris and Q. Gu, in Review of Progress in Quantitative Nondestructive Evaluation, Vol. 10B, eds. D.O. Thompson, and D.E. Chimenti (Plenum, New York, 1991), p. 1983.

    Chapter  Google Scholar 

  8. R.B. Thompson, E.P. Papadakis, D.E. Bluhm et al., J. Nondest. Eval. 12, 45 (1993).

    Article  Google Scholar 

  9. R.-J. Roe, J. Appl. Phys. 36, 2024 (1965).

    Article  Google Scholar 

  10. C.A. Stickeis and P.R. Mould, Metall. Trans. 1, 1303 (1970).

    Google Scholar 

  11. R. Müller, Stahl u. Eisen 102, 1107 (1982).

    Google Scholar 

  12. C.-S. Man, Metall. Mater. Trans. A, in press.

    Google Scholar 

  13. C.-S. Man, J. Elasticity, submitted.

    Google Scholar 

  14. R. Hill, Proc. Roy. Soc. A 193, 281 (1948).

    Article  MATH  Google Scholar 

  15. M. Hirao, K. Aoki and H. Fukuoka, J. Accoust. Soc. Am. 81, 1434 (1987).

    Article  Google Scholar 

  16. R.B. Thompson, J.F. Smith, S.S. Lee and G.C. Johnson, Metall. Trans. 20A, 2431 (1989).

    Article  Google Scholar 

  17. B.A. Auld, Acoustic Fields and Waves in Solids, Vol. 1, Second Edition (Krieger, Malabar, 1990).

    Google Scholar 

  18. L. Bourne and R. Hill, Phil. Mag. 41, 671 (1950).

    Google Scholar 

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© 1995 Plenum Press, New York

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Man, CS. (1995). Correlation of Earing and Texture in Weakly Orthotropic Sheets of Cubic Metals. In: Thompson, D.O., Chimenti, D.E. (eds) Review of Progress in Quantitative Nondestructive Evaluation. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1987-4_246

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  • DOI: https://doi.org/10.1007/978-1-4615-1987-4_246

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4613-5819-0

  • Online ISBN: 978-1-4615-1987-4

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