Table 1 Materials and simulation parameters
From: Quantification and prediction of solidification textures under additive manufacturing conditions
Symbol | Description | Value |
|---|---|---|
c∞ | Nominal composition of Si | 1 wt.% |
me | Liquidus slope | − 6.5 K/wt.%38 |
ke | Partition coefficient | 0.1338 |
Γ | Gibbs-Thomson coefficient | 1.96 × 10−7 K ⋅ m59 |
\({\mu }_{k}^{0}\) | Interface kinetic coefficient | 0.5 m/(s ⋅ K)23 |
Dl | Liquid diffusion coefficient | 5.5 × 10−9 m2/s60 |
G | Temperature gradient | 1 × 106 K/m35 |
Vp | Pulling velocity | 1 m/s |
W0 | Atomic interface width | 1 nm |
ϵk | Anisotropic strength of the kinetic coefficient | 0.15 |
ϵ1 | First-order parameter of the anisotropic strength of interfacial free energy | 0.06 |
ϵ2 | Second-order parameter of the anisotropic strength of interfacial free energy | − 0.006 or 0 |
W | Interface width | 5 W0 |
Δx | Grid spacing | 0.8 W |
Δt | Time step of evolution | 0.08 \({W}^{2}/(\Gamma {\mu }_{k}^{0})\) |
