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An Analytical Approach to Model Heterogonous Recrystallization Kinetics Taking into Account the Natural Spatial Inhomogeneity of Deformation

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Abstract

The classical Johnson–Mehl–Avrami–Kolmogorov equation was modified to take into account the normal local strain distribution in deformed samples. This new approach is not only able to describe the influence of the local heterogeneity of recrystallization but also to produce an average apparent Avrami exponent to characterize the entire recrystallization process. In particular, it predicts that the apparent Avrami exponent should be within a narrow range of 1 to 2 and converges to 1 when the local strain varies greatly. Moreover, the apparent Avrami exponent is predicted to be insensitive to temperature and deformation conditions. These predictions are in excellent agreement with the experimental observations on static recrystallization after hot deformation in different steels and other metallic alloys.

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Acknowledgments

Haiwen Luo acknowledges the united financial support from National Natural Science Foundation of China and Bao Steel Group Co. Ltd. (No. U1460203) and International Science & Technology Cooperation Program of China (No. 2015DFG51950).

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Authors and Affiliations

  1. State Key Laboratory of Advanced Metallurgy, University of Science and Technology Beijing, Xue Yuan Lu 30, Beijing, 100083, P.R. China

    Haiwen Luo (Professor)

  2. School of Metallurgical and Ecological Engineering, University of Science and Technology Beijing, Xue Yuan Lu 30, Beijing, 100083, P.R. China

    Haiwen Luo (Professor)

  3. Faculty of Aerospace Engineering, Delft University of Technology, 2629 HS, Delft, The Netherlands

    Sybrand van der Zwaag (Professor)

Authors
  1. Haiwen Luo
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  2. Sybrand van der Zwaag
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Correspondence to Haiwen Luo.

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Manuscript submitted December 6, 2014.

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Luo, H., van der Zwaag, S. An Analytical Approach to Model Heterogonous Recrystallization Kinetics Taking into Account the Natural Spatial Inhomogeneity of Deformation. Metall Mater Trans A 47, 231–238 (2016). https://doi.org/10.1007/s11661-015-3200-1

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