Fig. 7: Investigation of single-crystal solidification.
From: Quantification and prediction of solidification textures under additive manufacturing conditions

a Dendrite morphology for Al1Si with (ϵ1, ϵ2) = (0.06, − 0.006). b Dendrite tip undercooling Δ as a function of rotation angles of the principle axes around the X, Y, and Z-directions. Undercooling is defined as Δ = (Tl − Ttip)/(Tl − Ts), where Ttip is the temperature at the tip, Tl is the liquidus temperature at the nominal composition c∞, and Ts is the solidus temperature at c∞. For blue circles beyond 30∘, Δ was obtained using the output of the smaller-angle simulation as input. The open circle marks the unstable structure shown in panel (a). c Δ for a subsequent X-axis rotation after the initial Y-axis rotation (20∘ for light blue lines and 45∘ for bright blue lines). The dashed line denotes Δ without rotation. d Δ versus the rotation angles for (ϵ1, ϵ2) = (0.06, 0).