Multiphase solidification in multicomponent alloys

Hecht, U.; Gránásy, László; Pusztai, Tamás; Böttger, B.; Apel, Markus; Witusiewicz, V.T.; Ratke, Lorenz; Wilde, Jimmy De; Froyen, Ludo; Camel, D.; Drevet, B.; Faivre, G; Fries, Suzana G.; Légendre, B.; Rex, S.

doi:10.1016/j.mser.2004.07.002

Cited by 167 publications

(98 citation statements)

References 221 publications

(284 reference statements)

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“…[21], where a spontaneous tilt of the lamellae with respect to the direction of the temperature gradient was reported. This difference is due to the different phase diagrams:…”

Section: A Data Extractionmentioning

confidence: 98%

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Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys

2011

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We investigate lamellar three-phase patterns that form during the directional solidification of ternary eutectic alloys in thin samples. A distinctive feature of this system is that many different geometric arrangements of the three phases are possible, contrary to the widely studied two-phase patterns in binary eutectics. Here, we first analyze the case of stable lamellar coupled growth of a symmetric model ternary eutectic alloy, using a Jackson-Hunt type calculation in thin film morphology, for arbitrary configurations, and derive expressions for the front undercooling as a function of velocity and spacing. Next, we carry out phase-field simulations to test our analytic predictions and to study the instabilities of the simplest periodic lamellar arrays. For large spacings, we observe different oscillatory modes that are similar to those found previously for binary eutectics and that can be classified using the symmetry elements of the steady-state pattern. For small spacings, we observe a new instability that leads to a change in the sequence of the phases. Its onset can be well predicted by our analytic calculations. Finally, some preliminary phase-field simulations of three-dimensional growth structures are also presented. * 1abhik.choudhury@hs-karlsruhe.de † 1mathis.plapp@polytechnique.fr ‡ 1britta.nestler@kit.edu 2

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“…[21], where a spontaneous tilt of the lamellae with respect to the direction of the temperature gradient was reported. This difference is due to the different phase diagrams:…”

Section: A Data Extractionmentioning

confidence: 98%

“…we are using a completely symmetric phase diagram and equal surface tensions for all solidliquid interfaces, whereas [21] uses the thermophysical data of a real alloy.…”

Section: A Data Extractionmentioning

confidence: 99%

Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys

2011

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“…Nevertheless, KWC-type models are very interesting, and Gránásy et al successfully simulated polycrystalline solidification and spherulite growth using their own KWC-type model. 21,32,100,101,136,137) …”

Section: Polycrystalline Solidificationmentioning

confidence: 99%

Phase-field Modeling and Simulations of Dendrite Growth

Takaki

2014

ISIJ Int.

179

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The phase-field method has recently emerged as the most powerful computational tool for simulating complicated dendrite growth. However, these simulations are still limited to two-dimensional or small three-dimensional spaces; therefore, to realistic and practical dendritic structures, it is crucial to develop a large-scale phase-field simulation technique. This review discusses the phase-field modeling and simulations of dendrite growth from the fundamental model to cutting-edge very-large-scale simulations. First, phase-field models for the dendrite growth of pure materials and binary alloys and their histories are summarized. Then, models and studies of interface anisotropy, polycrystalline solidification, and solidification with convection, which are very important in dendritic solidification, are reviewed. Finally, by introducing very-large-scale phase-field simulations performed recently using a graphics processing unit supercomputer, the power, potential and importance of the very-large-scale phase-field simulation are emphasized.

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“…A phase-field model of the grain nucleation during solidification, in which the fluctuations are incorporated into the phase-field equation by additional source terms is given in Ref. [18].…”

Section: Introductionmentioning

confidence: 99%

Modeling of Eutectic Formation in Al-Si Alloy Using A Phase-Field Method

Ebrahimi

2017

Archives of Metallurgy and Materials

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We have utilized a phase-field model to investigate the evolution of eutectic silicon in Al-Si alloy. The interfacial fluctuations are included into a phase-field model of two-phase solidification, as stochastic noise terms and their dominant role in eutectic silicon formation is discussed. We have observed that silicon spherical particles nucleate on the foundation of primary aluminum phase and their nucleation continues on concentric rings, through the Al matrix. The nucleation of silicon particles is attributed to the inclusion of fluctuations into the phase-field equations. The simulation results have shown needle-like, fish-bone like and flakes of silicon phase by adjusting the noise coefficients to larger values. Moreover, the role of primary Al phase on nucleation of silicon particles in Al-Si alloy is elaborated. We have found that the addition of fluctuations plays the role of modifiers in our simulations and is essential for phase-field modeling of eutectic growth in Al-Si system. The simulated finger-like Al phases and spherical Si particles are very similar to those of experimental eutectic growth in modified Al-Si alloy.

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Multiphase solidification in multicomponent alloys

Cited by 167 publications

References 221 publications

Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys

Theoretical and numerical study of lamellar eutectic three-phase growth in ternary alloys

Phase-field Modeling and Simulations of Dendrite Growth

Modeling of Eutectic Formation in Al-Si Alloy Using A Phase-Field Method

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