2009
DOI: 10.1088/0953-8984/21/46/464107
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Phase-field simulations of nuclei and early stage solidification microstructures

Abstract: To investigate the local properties of heterogeneous nuclei on substrates, a phase-field model is extended to incorporate volume constraints and a third order line tension in the gradient free energy density formulation. The new model is applied to sessile drop simulations of Cu nuclei on Ni substrates to precisely analyse 3D equilibrium shapes and diffusion processes across the phase boundaries. In particular, the formalism with higher order potentials is used to investigate the length-scale dependent effect … Show more

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Cited by 7 publications
(5 citation statements)
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“…Many have shown the linking between MD and PF [ 16 , 17 ]. So it is a common way to obtain MD parameters for PF simulations.…”
Section: Discussionmentioning
confidence: 99%
See 1 more Smart Citation
“…Many have shown the linking between MD and PF [ 16 , 17 ]. So it is a common way to obtain MD parameters for PF simulations.…”
Section: Discussionmentioning
confidence: 99%
“…There are previous phase-field studies in which the material parameters have been obtained from molecular simulations to model dendritic growth in pure Ni [ 16 , 17 ], CO 2 hydrates [ 18 ], and binary alloys. In this work we compare MD and PF simulation results for the isothermal growth velocity of a nanoscopic spherical crystalline cluster of Ni embedded in the melt.…”
Section: Introductionmentioning
confidence: 99%
“…A key point of this model is that a ternary A-B-X phase diagram has to be extended from the binary A-B phase diagram in order to model the phase-boundaries and the phase equilibria of L-V, S-V and I-V. This type of model has been originally used by Villanueva et al [30] for reactive wetting and by other researchers for other applications [35].…”
Section: Introductionmentioning
confidence: 99%
“…However, in order to capture the phase boundaries of vacuum/substrate and vacuum/solder, as well as the trijunctions of vacuum-substrate-inter metallic and vacuum-solder-intermetallic, a ternary phase diagram in principle has to be considered. For a substrate surrounded by vacuum, the ternary phase diagram concept in the phase-field study is employed by Nestler et al [23] This concept is also utilized by Villanueva et al [24] for an investigation of intermetallic compounds in the Cu-Sn system. But the ternary phase diagram in the work of Villanueva et al seems not to be compatible with the binary Cu-Sn phase diagram.…”
Section: Introductionmentioning
confidence: 99%