Large-scale phase-field simulations of ternary eutectic microstructure evolution

Steinmetz, Philipp; Hötzer, Johannes; Kellner, Michael; Dennstedt, Anne; Nestler, Britta

doi:10.1016/j.commatsci.2016.02.001

Cited by 42 publications

(16 citation statements)

References 34 publications

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“…The simulation domain has a base size of 800 × 800 voxel cells. To obtain statistical volume elements these large-scale simulations are required to minimize the influence of the periodic boundary conditions, as shown in [22,26]. Starting from an initial Voronoi tesselation, to model the nucleation, three solid phases cooperatively grow in z-direction with a defined velocity, controlled by the temperature gradient.…”

Section: Simulation Settingmentioning

confidence: 99%

“…Simulative research of the pattern formation in three-phase ternary eutectics with the phase-field method is conducted in 3D for idealized systems in [19][20][21][22][23] and for Al-Ag-Cu in [23][24][25][26]. In idealized systems of directionally solidified ternary eutectics, various patterns are found in [20] and the influence of the concentration of the melt and the solid-liquid interface energies on the pattern formation is identified in [23].…”

Section: Introductionmentioning

confidence: 99%

“…The necessity of large-scale simulations to obtain statistical volume elements (SVE) is presented in [26] with principal component analysis based on two-point correlations. In [22] different alignments of a hexagonal pat-tern in single transverse sections of an ideal system are reported for large-scale simulations.…”

Section: Introductionmentioning

confidence: 99%

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Phase-field study of the pattern formation in Al–Ag–Cu under the influence of the melt concentration

Steinmetz

Kellner

Hötzer

et al. 2016

Computational Materials Science

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In single transverse sections of directional solidified ternary eutectics, various microstructure patterns can be observed. These patterns influence the mechanical properties and it is therefore of interest to gain a better understanding of the microstructure formation process. It is assumed that local variations in the concentration of the melt lead to different patterns. To investigate this effect, large-scale three-dimensional phase-field simulations of directional solidification in the vicinity of the ternary eutectic point of Al-Ag-Cu are applied. The different arising patterns from the simulations are compared and analyzed with statistical methods. The simulations show different stable patterns within a range of ± 1% of the melt concentration around the ternary eutectic point. The same tendencies are observed in experimental micrographs.

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Section: Simulation Settingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Phase-field study of the pattern formation in Al–Ag–Cu under the influence of the melt concentration

Steinmetz

Kellner

Hötzer

et al. 2016

Computational Materials Science

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“…Recently, the solidification of the ternary metallic Ag-Al-Cu system has been studied by means of large scale phase-field simulations [24] [25]. In these works, different brick-like patterns have been observed during the solidification process, giving rise to a spiral-growth in three dimensions.…”

Section: Introductionmentioning

confidence: 99%

Progress in modeling solidification in molten salt coolants

Tano

Rubiolo

Doche

2017

Modelling Simul. Mater. Sci. Eng.

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Molten salts have been proposed as heat carrier media in the nuclear and concentrating solar power plants. Due to their high melting temperature, solidification of the salts is expected to occur during routine and accidental scenarios. Furthermore, passive safety systems based on the solidification of these salts are being studied. The following article presents new developments in the modeling of eutectic molten salts by means of a multiphase, multicomponent, phase-field model. Besides, an application of this methodology for the eutectic solidification process of the ternary system LiF-KF-NaF is presented. The model predictions are compared with a newly developed semi-analytical solution for directional eutectic solidification at stable growth rate. A good qualitative agreement is obtained between the two approaches. The results obtained with the phase-field model are then used for calculating the homogenized properties of the solid phase distribution. These properties can then be included in a mixture macroscale model, more suitable for industrial applications.

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“…The grain growth in a supersaturated environmental solution is a diffusion-reactiondriven process, and is a further example in which the growth process is mathematically described by the time-dependent free boundary problem, coupled with the macroscopic processes. Thus, although originally confined to the simulation of the microstructural evolution (Plapp and Karma 2002;Steinmetz et al 2016), the flexibility of the phase-field method extends its application to several avenues of research, like geology (Ankit 2016), medicine and biology (Emmerich and Travasso 2011;Garcke et al 2016), topology optimization , and others.…”

mentioning

confidence: 99%