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Development of orientation coherence in plane-strain deformation

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Abstract

Spatial orientation coherence in 20 pct channel-die compressed aluminum ingot is investigated using the two-point orientation coherence function (OCF) constructed from individual crystallite orientation measurements. It is found that orientation coherence clusters formed in the initially coherence-free ingot during deformation. The orientation coherence cluster consists of a central grain with lattice orientation (φ1, ϕ, φ2) surrounded by grains with lattice orientation (π + φ1, ϕ, φ2); this coincides with one of the processing-symmetry orientations of the central grain. The observed clustering is compared with simulations of structure evolution based upon the classical full-constraint Taylor model. As is expected, no coherence structure develops in these simulations. A mechanism of formation for the orientation coherence cluster is proposed based upon a requirement of stress equilibrium between neighboring grains, while maintaining, on average, strain compatibility with the overall plane-strain compression deformation mode. A simplified Fourier representation of the conditional two-point OCF is described, and a numerical scheme to obtain the expansion coefficients is proposed and tested.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Brigham Young University, USA

    Tong-Tsung Wang (Doctoral Student)

  2. Department of Mechanical Engineering, Yale University, 06520-2157, New Haven, CT

    Brent L. Adams (Associate Professor) & Peter R. Morris

Authors
  1. Tong-Tsung Wang
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  2. Brent L. Adams
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  3. Peter R. Morris
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Formerly Visiting Scholar, Department of Mechanical Engineering, Brigham Young University, Provo, UT 84602, is retired.

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Wang, TT., Adams, B.L. & Morris, P.R. Development of orientation coherence in plane-strain deformation. Metall Trans A 21, 2223–2236 (1990). https://doi.org/10.1007/BF02647884

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  • DOI: https://doi.org/10.1007/BF02647884

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