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Crystal plasticity forming limit diagram analysis of rolled aluminum sheets

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Abstract

Numerical simulations of forming limit diagrams (FLDs) are performed based on a rate-sensitive polycrystal plasticity model together with the Marciniak-Kuczynski (M-K) approach. Sheet necking is initiated from an initial imperfection in terms of a narrow band. The deformations inside and outside the band are assumed to be homogeneous, and conditions of compatibility and equilibrium are enforced across the band interfaces. Thus, the polycrystal model needs only to be applied to two polycrystalline aggregates, one inside and one outside the band. Each grain is modeled as an fcc crystal with 12 distinct slip systems. The response of an aggregate comprised of many grains is based on an elastic-viscoplastic Taylor-type polycrystal model. With this formulation, the effects of initial imperfection intensity and orientation, initial distribution of grain orientations, crystal elasticity, strain-rate sensitivity, single slip hardening, and latent hardening on the FLD can be assessed. The predicted FLDs are compared with experimental data for the following rolled aluminum alloy sheets: AA5754-0-A, AA5754-0-B, AA6111-T4-A, AA6111-T4-C, and AA6111-T4-D.

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Author notes

  1. P. D. Wu (Research Scientist, Research Scientist)

    Present address: the Faculty of Applied Science, University of Sherbrooke, J1K 2R1, Sherbrooke, PQ, Canada

  2. A. Makinde (Research Scientist)

    Present address: the Kingston Research and Development Centre, Alcan International Ltd., USA

Authors and Affiliations

  1. the Kingston Research and Development Centre, Alcan International Ltd., K7L 5L9, Kingston, ON, Canada

    P. D. Wu (Research Scientist, Research Scientist)

  2. the Faculty of Applied Science, University of Sherbrooke, J1K 2R1, Sherbrooke, PQ, Canada

    K. W. Neale (Professor)

  3. the Laboratory for Engineering Mechanics, Delft University of Technology, 2628 CD, Delft, The Netherlands

    E. Van Der Giessen (Professor)

  4. the Kingston Research and Development Centre, Alcan International Ltd., Canada

    M. Jain (Research Scientist) & S. R. MacEwen (Principal Research Scientist)

  5. GE Corporation R & D, 12301, Schenectady, NY

    A. Makinde (Research Scientist)

Authors
  1. P. D. Wu
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  2. K. W. Neale
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  3. E. Van Der Giessen
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  4. M. Jain
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  5. S. R. MacEwen
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  6. A. Makinde
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Wu, P.D., Neale, K.W., Van Der Giessen, E. et al. Crystal plasticity forming limit diagram analysis of rolled aluminum sheets. Metall Mater Trans A 29, 527–535 (1998). https://doi.org/10.1007/s11661-998-0134-x

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  • DOI: https://doi.org/10.1007/s11661-998-0134-x

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