Mathematical analysis of solute redistribution during solidification with diffusion in solid phase.
نویسندگان
چکیده
منابع مشابه
Phase-field modeling of binary alloy solidification with coupled heat and solute diffusion.
A phase-field model is developed for simulating quantitatively microstructural pattern formation in solidification of dilute binary alloys with coupled heat and solute diffusion. The model reduces to the sharp-interface equations in a computationally tractable thin-interface limit where (i). the width of the diffuse interface is about one order of magnitude smaller than the radius of curvature ...
متن کاملSolute trapping and solute drag in a phase-field model of rapid solidification
During rapid solidification, solute may be incorporated into the solid phase at a concentration significantly different from that predicted by equilibrium thermodynamics. This process, known as solute trapping, leads to a progressive reduction in the concentration change across the interface as the solidification rate increases. Theoretical treatments of rapid solidification using traditional s...
متن کاملPhase-field modelling of solute trapping during rapid solidification of a Si–As alloy
The effect of nonequilibrium solute trapping by a growing solid under rapid solidification conditions is studied using a phase-field model. Considering a continuous steady-state concentration profile across the diffuse solid-liquid interface, a new definition of the nonequilibrium partition coefficient in the phase-field context is introduced. This definition leads, in particular for high growt...
متن کاملThe Influence of Solid State Diffusion on Microstructural Development During Solidification
The primary factors that effect solid state diffusion during solidification are described and binary solute redistribution equations that permit estimation of the significance of solid state diffusion are discussed. Model calculations suggest that solid state diffusion of substitutional alloying elements in FCC alloys is insignificant under most processing conditions, while that of interstitial...
متن کاملQuantitative phase-field modeling for dilute alloy solidification involving diffusion in the solid.
An antitrapping current scheme for quantitative phase-field model [A. Karma, Phys. Rev. Lett. 87, 115701 (2001)] is extended to solidification process in a dilute binary alloy system involving diffusion in the solid. It is demonstrated in an asymptotic analysis that in the case of an arbitrary value of the solid diffusivity, five types of constraints exist between interpolating functions used i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the Iron and Steel Institute of Japan
سال: 1986
ISSN: 0021-1583,1881-1183
DOI: 10.2355/isijinternational1966.26.1045