Concurrent γ-Phase Nucleation as a Possible Mechanism of δ-γ Massive-like Phase Transformation in Carbon Steel: Numerical Analysis Based on Effective Interface Energy

  • Yoshiya Masato
    Department of Adaptive Machine Systems, Osaka University Nanostructures Research Laboratory, Japan Fine Ceramics Center
  • Watanabe Manabu
    Department of Adaptive Machine Systems, Osaka University
  • Nakajima Kenta
    Department of Adaptive Machine Systems, Osaka University
  • Ueshima Nobufumi
    Department of Adaptive Machine Systems, Osaka University
  • Hashimoto Koki
    Department of Adaptive Machine Systems, Osaka University
  • Nagira Tomoya
    Department of Adaptive Machine Systems, Osaka University
  • Yasuda Hideyuki
    Department of Adaptive Machine Systems, Osaka University Department of Materials Science and Engineering, Kyoto University

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  • Concurrent γ-Phase Nucleation as a Possible Mechanism of δ-γ Massive-like Phase Transformation in Carbon Steel: Numerical Analysis Based on Effective Interface Energy

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Effective interface energies of various homo- and hetero-interfaces of iron were calculated with an aid of phase-field modeling, taking into account geometric constraints by competition among grains or interfaces. Calculated effective interface energies for δ/γ, δ/δ, and γ/γ interfaces are 0.56, 0.44 and 0.37 J/m2, respectively. Using two simple geometric models for nucleation on or off an interface in the matrix, the optimal shape of a nucleus at a given radius and undercooling, a critical radius and an energy barrier for nucleation for each possible circumstance were numerically calculated. It is found that, although the energy barrier for γ-phase nucleation in homogeneous δ-phase matrix is more than three orders of magnitude greater than that for homogeneous solidification of δ-phase, the γ nucleation on a δ/δ grain boundary in the solidifying matrix suppresses the energy barrier, increasing a nucleation rate. Furthermore, it is found that the γ-phase nucleation on an existing γ nucleus halves undercooling needed with smaller critical radius. This suggests that, once γ nucleation is initiated, then following γ nucleation is promoted by doubled driving force, enabling multiple γ nucleation as in chain reaction. These findings are sufficient to explain experimentally observed phenomena during the δ-γ massive-like phase transformation even if other factors such as solute re-distribution or transformation is neglected.

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