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Analytical Representation of Polycrystal Yield Surfaces

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Anisotropy and Localization of Plastic Deformation

Abstract

A new yield function of the form \( f\left( {{S_i}} \right) = {\sum\limits_S^N {\left| {P_i^S\,{S_i}} \right|}^{{h + 1}}}/W_s^h \) is proposed to describe the yield surface of textured polycrystals. The parameters of this function can be derived from the rate of plastic work obtained from polycrystal models. f is strictly convex and approximates the yield surface with high precision.

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References

  1. Mathur, K.K., and Dawson, P.R., Int. J. Plasticity, 1989, 5, 67–94.

    Article  Google Scholar 

  2. Van Houtte, P, Mols, K., Van Bael, A., and Aernoudt, E., Textures and Microstructures, 1989, 11, 23–39.

    Article  Google Scholar 

  3. Van Bael, A., Van Houtte, P., Aernoudt, E., Pillinger, A., Hartley, P., and Sturgess, C.E.N., this proceedings.

    Google Scholar 

  4. Von Mises, R., Gott. Nachricht. Math. Phys., 1913, 582.

    Google Scholar 

  5. Hill, R., Proc. Roy. Soc., 1948, A193, 281–297.

    Google Scholar 

  6. Hill, R., Math. Proc. Cambr. Phil. Soc., 1979, 85, 179–191.

    Article  Google Scholar 

  7. Montheillet, F., Gilormini, P., and Jonas, J.J., Acta Metall., 1985, 33, 705–717.

    Article  CAS  Google Scholar 

  8. Lequeu, PH., Gilormini, P., Montheillet, F., Bacroix, B., and Jonas, J.J., Acta Metall., 1987, 35, 1159–1174.

    Article  CAS  Google Scholar 

  9. Arminjon, M., and Bacroix, B., Acta Mechanica, in press.

    Google Scholar 

  10. Van Houtte, P., Textures and Microstructures, 1987, 7, 29–72.

    Article  Google Scholar 

  11. Tóth, L.S., Gilormini, P., and Jonas, J.J., Acta Metall., 1988, 12, 3077–3091.

    Google Scholar 

  12. Arminjon, M., Proc. of 9th Int. Conf. Text. Mat. (ICOTOM9), Avignon, France, Sept. 1990., in press.

    Google Scholar 

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© 1991 Elsevier Science Publishers Ltd

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Toth, L.S., van Houtte, P., van Bael, A. (1991). Analytical Representation of Polycrystal Yield Surfaces. In: Boehler, JP., Khan, A.S. (eds) Anisotropy and Localization of Plastic Deformation. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-3644-0_43

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  • DOI: https://doi.org/10.1007/978-94-011-3644-0_43

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-1-85166-688-1

  • Online ISBN: 978-94-011-3644-0

  • eBook Packages: Springer Book Archive

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