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Modeling of the plastic anisotropy of textured sheet

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Abstract

An alternative is proposed to the classical crystallographic and continuum techniques for representation of polycrystal anisotropy. It involves the use of continuum yield criteria to reproduce the yielding behavior of a collection of disoriented grains displaying typical experimental spreads. It is shown that the anisotropic properties pertaining to single ideal orientations are readily assessed. Yield surfaces as well as strain rateR(θ) and yield stressσ(θ)/σ(0) ratios are calculated for polycrystalline materials displaying several texture components. The Taylor, Sachs, and Kochendörfer grain interaction models are used for this purpose, the last of which leads to the fastest computations because it permits the texture/plastic properties relationship to be described analytically. Such methods are particularly well suited to FEM and CAD-CAM calculations. The predictions obtained from the present analysis are compared to experimental observations reported in the literature.

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Authors and Affiliations

  1. Cegedur Péchiney, Research Center, B.P. 27, 38340, Voreppe, France

    PH. Lequeu

  2. Department of Metallurgical Engineering, McGill University, H3A 2A7, Montreal, PQ, Canada

    J. J. Jonas (CSIRA-NSERC Professor of Steel Pro-cessing.)

Authors
  1. PH. Lequeu
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  2. J. J. Jonas
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Formerly Gradute student, McGill university, Montreal, PQ,

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Lequeu, P., Jonas, J.J. Modeling of the plastic anisotropy of textured sheet. Metall Trans A 19, 105–120 (1988). https://doi.org/10.1007/BF02669819

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