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An analytic approach to the effect of anisotropic growth on diffusion-controlled transformation kinetics

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Abstract

The effects of the anisotropic growth and soft-impingement (SI) on the kinetics of diffusion-controlled (DC) transformation are investigated. An analytic approach to describe the kinetics of DC transformation subjected to anisotropic effect is presented, assuming pre-existing nuclei, one-dimensional growth, and linear approximation of concentration gradient. The anisotropic effect and SI effect are evaluated from the varying Avrami exponent. SI effect only occurs at the last stage of transformation, although anisotropic effect broadens its range. This approach is applied to predict the isothermal thickening of ferrite layer in Fe–0.17 wt% C alloy at 973 K and isothermal transformation of austenite to allotriomorphic ferrite in 0.37C–1.45Mn–0.11V microalloyed steel at 913 K; good agreements are achieved.

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Notes

  1. Since the numerical solution of differential equation 19 is sensitive to the smaller L, it is inconvenient to solve Eq. 22 numerically, let alone the exact solutions of Eqs. 23a and 25a. Therefore, the present study is only focused on the results and discussions of Eqs. 23b and 25b involving both the anisotropic effect and the SI effect, and of Eqs. 23c and 25c involving only the anisotropic effect. It will be shown that the approximate approach is more effective for many DC transformations.

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Acknowledgements

The authors gratefully acknowledge the financial support provided by the Free Research Fund of State Key Laboratory of Solidification Processing (09-QZ-2008 and 24-TZ-2009), the Natural Science Foundation of China (51071127 and 51134011), the Fundamental Research Fund of Northwestern Polytechnical University (JC200801), China National Funds for Distinguished Young Scientists (51125002), and the National Basic Research Program of China (973 Program, 2011CB610403). S.J. Song is also grateful to the Ministry of Education Fund for Doctoral Students Newcomer Awards of China, and to the Doctorate Foundation of Northwestern Polytechnical University (No. CX201008).

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  1. State Key Laboratory of Solidification Processing, Northwestern Polytechnical University, Xi’an, Shaanxi, 710072, People’s Republic of China

    S. J. Song, F. Liu & Y. H. Jiang

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  1. S. J. Song
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  2. F. Liu
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  3. Y. H. Jiang
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Correspondence to F. Liu.

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Song, S.J., Liu, F. & Jiang, Y.H. An analytic approach to the effect of anisotropic growth on diffusion-controlled transformation kinetics. J Mater Sci 47, 5987–5995 (2012). https://doi.org/10.1007/s10853-012-6504-1

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