Modeling rapid solidification of multi-component concentrated alloys

Kinetics of triple-junctions in eutectic solidification: a sharp interface model

“…The SC-SC eutectic is selected here to show more easily the kinetics of TJs because the concentration of SC does not change during solidification, and the interface kinetics of SC [50] is much simpler than that of SSP [40][41][42]51] and NSC [52]. Because the growth velocities and growth directions of interfaces and TJs are not constant but change periodically in the 1 -k oscillating eutectic pattern (Fig.…”

“…Following our former work for the rapid solidification of a single solid-solution phase [40][41][42], eutectic solidification is described theoretically by the TEP [43][44][45][46][47][48][49]. By this way, the Gibbs energy dissipated by the bulk phases, interfaces and TJs can be separated from the total Gibbs energy and the additional constraints in the system can be incorporated conveniently by the Lagrange multipliers to derive simultaneously the kinetics of bulk phases, interfaces and TJs.…”

Modeling of eutectic dendrite growth in undercooled binary alloys

“…These models are helpful to understand the solidification phenomena but may lead to significant deviation from the actual solidification process. The significant effects of non-linear liquidus and solidus, interaction between solute and solvent on interface kinetics [15,38], stability of planar interface [39][40][41], and dendrite growth [42][43][44] have been studied recently. For dendritic solidification of one solid phase, dilute alloys may be possible but linear liquidus and solidus are applicable only to small values of DT [42], whereas for eutectic solidification of two or more solid phases, the assumption of dilute alloys with linear liquidus and solidus is actually not that practical.…”

Analysis for free dendritic growth model incorporating the nonisothermal nature of solid–liquid interface

“…According to the well-known marginal stability theory (MST) [17][18][19][20][21], one would expect the tip radius of curvature to continuously decrease with increasing bath undercooling for a pure melt. Furthermore, MST has been widely adopted in the series of dendritic growth models with isothermal interface [2][3][4][5][6][7][8][9][10][11][12][13]. Therefore, the main purpose of the present work is to develop a nonisothermal free dendritic growth model by introducing MST to replace the maximum velocity principle.…”

“…The Ivantsov model set the groundwork for the studies that follows. Numerous dendritic growth models were established later [2][3][4][5][6][7][8][9][10][11][12][13].…”