2012
DOI: 10.1016/j.actamat.2011.12.009
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Phase-field simulation of solidification morphology in laser powder deposition of Ti–Nb alloys

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Cited by 165 publications
(69 citation statements)
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“…These results suggest that an indirect coupling between thermal modeling of a cast ingot and local modeling of microstructure selection is a valid approach for spacing selection (see examples of such couplings with phase-field in Refs. 48,49). However, this type of coupling does not account for the history-dependent selection of spacing.…”
Section: Resultsmentioning
confidence: 99%
“…These results suggest that an indirect coupling between thermal modeling of a cast ingot and local modeling of microstructure selection is a valid approach for spacing selection (see examples of such couplings with phase-field in Refs. 48,49). However, this type of coupling does not account for the history-dependent selection of spacing.…”
Section: Resultsmentioning
confidence: 99%
“…Fallah et al [5] used the thermal analysis model in the process of direct laser deposited Ti-Nb alloy as follows:…”
Section: Pf Simulation Methods Of Solidification Microstructure Of Allmentioning
confidence: 99%
“…where j at is expressed as (6) As can be seen in equation (6), the anti-trapping current is proportional to the interface width w, the growth velocity V n = ∂φ/∂t, and is related to the equilibrium partition coefficient k e . To include the solid diffusivity in the model, the expressions of q ∼ (φ) a(φ) proposed by Ohno and Matsuura [21] are adopted, i.e.…”
Section: A Multi-scale Approach To Simulate Solidification Structure mentioning
confidence: 99%
“…Thus, the solidified microstructure, characterized by arrays of columnar cells/dendrites where microsegregation occurs, vary spatially in a range of length scales [2]. The microstructure and microsegregation have a significant impact on the mechanical properties of the welded products and subsequent heat treatment processes [6][7][8]. For instance, as observed in the dendritic array by Dong et al [9][10][11], the solute is richer in the liquid between the neighbouring primary arms and thus the undesirable columnar to equiaxed transition is more likely to happen in these places.…”
Section: Introductionmentioning
confidence: 99%