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Optimization of VPSC Model Parameters for Two-Phase Titanium Alloys: Flow Stress Vs Orientation Distribution Function Metrics

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Abstract

The ability to predict the evolution of crystallographic texture during hot work of titanium alloys in the \(\alpha + \beta \) temperature regime is greatly significant to numerous engineering disciplines; however, research efforts are complicated by the rapid changes in phase volume fractions and flow stresses with temperature in addition to topological considerations. The viscoplastic self-consistent (VPSC) polycrystal plasticity model is employed to simulate deformation in the two phase field. Newly developed parameter selection schemes utilizing automated optimization based on two different error metrics are considered. In the first optimization scheme, which is commonly used in the literature, the VPSC parameters are selected based on the quality of fit between experiment and simulated flow curves at six hot-working temperatures. Under the second newly developed scheme, parameters are selected to minimize the difference between the simulated and experimentally measured \(\alpha \) textures after accounting for the \(\beta \rightarrow \alpha \) transformation upon cooling. It is demonstrated that both methods result in good qualitative matches for the experimental \(\alpha \) phase texture, but texture-based optimization results in a substantially better quantitative orientation distribution function match.

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Acknowledgments

This work was conducted as part of the in-house research of the Metals Branch of the Air Force Research Laboratory’s Materials and Manufacturing Directorate. VMM was supported under contract FA8650-15-D-5230. The authors would like to thank P. Fagin and A. Blankenship for experimental assistance and GE Global Research for supplying the material used in this work.

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Authors and Affiliations

  1. Air Force Research Laboratory, Materials and Manufacturing Directorate, Wright-Patterson AFB, OH, USA

    V. M. Miller, S. L. Semiatin & A. L. Pilchak

  2. UES, Inc., 4401 Dayton-Xenia Road, Beavercreek, OH, USA

    V. M. Miller

  3. Department of Materials Science and Engineering, North Carolina State University, Raleigh, NC, 27695, USA

    V. M. Miller

  4. Special Metals Corporation, 4317 Middle Settlement Rd., New Hartford, NY, 13413, USA

    C. Szczepanski

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  1. V. M. Miller
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Correspondence to V. M. Miller.

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Manuscript submitted December 20, 2017.

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Miller, V.M., Semiatin, S.L., Szczepanski, C. et al. Optimization of VPSC Model Parameters for Two-Phase Titanium Alloys: Flow Stress Vs Orientation Distribution Function Metrics. Metall Mater Trans A 49, 3624–3636 (2018). https://doi.org/10.1007/s11661-018-4716-y

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  • DOI: https://doi.org/10.1007/s11661-018-4716-y

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