Systematic atomistic simulations of homo-and hetero-phase boundaries have been carried out to quantify interphase boundary energies in iron including ¤-phase and £-phase grain boundaries and ¤/£, ¤/liquid and £/liquid interfaces. Due to structural mismatch between body centered cubic (BCC) and face centered cubic (FCC) structures of the ¤ and £ phases, the minimum interface energy of the ¤/£ interface is as high as 0.41 J/m 2 , much higher than the minimum interface energies of the ¤/¤ and £/£ homo-phase interfaces, which are zero, suggesting that the high interface energy is one of the key factors that lead to the massive-like phase transformation from the ¤ phase to the £ phase observed by in situ radiography. Although the minimum ¤/£ interface energy is not significantly higher than the ¤/liquid interface energy that determines the ¤ nucleation upon solidification, it is yet high enough for the small entropy change upon the phase transformation to inhibit £ nucleation at a given critical radius until more than one orders of magnitude higher undercooling is achieved according to the classical theory of homogeneous nucleation.
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 ¤/£, ¤/¤, and £/£ interfaces are 0.56, 0.44 and 0.37 J/m 2 , 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 £-phase nucleation in homogeneous ¤-phase matrix is more than three orders of magnitude greater than that for homogeneous solidification of ¤-phase, the £ nucleation on a ¤/¤ grain boundary in the solidifying matrix suppresses the energy barrier, increasing a nucleation rate. Furthermore, it is found that the £-phase nucleation on an existing £ nucleus halves undercooling needed with smaller critical radius. This suggests that, once £ nucleation is initiated, then following £ nucleation is promoted by doubled driving force, enabling multiple £ nucleation as in chain reaction. These findings are sufficient to explain experimentally observed phenomena during the ¤-£ massive-like phase transformation even if other factors such as solute re-distribution or transformation is neglected.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.