A study of ideal grain-growth process based on large-scale multi-phase-field simulations

The kinetics and topology of ideal grain growth were simulated using the phase-field model. Large scale phase-field simulations were carried out where ten thousands grains evolved into a few hundreds without allowing coalescence of grains. The implementation was first validated in two-dimensions by checking the conformance with square-root evolution of the average grain size and the von Neumann-Mullins law. Afterwards three-dimensional simulations were performed which also showed fair agreement with the law describing the evolution of the mean grain size against time and with the results of S. Hilgenfeld et al. in 'An Accurate von Neumann's Law for Three-Dimensional Foams', Phys. Rev. Letters, 86(12)/2685, March 2001. Finally the steady state grain size distribution was investigated and compared to the Hillert theory.

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Validation of a novel higher-order multi-phase-field model for grain-growth simulations using anisotropic grain-boundary properties

Computational Materials Science ◽

10.1016/j.commatsci.2015.10.010 ◽

2016 ◽

Vol 112 ◽

pp. 44-51 ◽

Cited By ~ 33

Author(s):

Eisuke Miyoshi ◽

Tomohiro Takaki

Keyword(s):

Grain Boundary ◽

Grain Growth ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Higher Order ◽

Boundary Properties ◽

Multi Phase

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Grain growth prediction based on data assimilation by implementing 4DVar on multi-phase-field model

Science and Technology of Advanced Materials ◽

10.1080/14686996.2017.1378921 ◽

2017 ◽

Vol 18 (1) ◽

pp. 857-868 ◽

Cited By ~ 9

Author(s):

Shin-ichi Ito ◽

Hiromichi Nagao ◽

Tadashi Kasuya ◽

Junya Inoue

Keyword(s):

Data Assimilation ◽

Grain Growth ◽

Phase Field ◽

Field Model ◽

Phase Field Model ◽

Growth Prediction ◽

Multi Phase

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Computer Simulation of Grain Growth in Three Dimensions by the Phase Field Model with Anisotropic Grain-Boundary Mobilities

Materials Science Forum ◽

10.4028/www.scientific.net/msf.539-543.2437 ◽

2007 ◽

Vol 539-543 ◽

pp. 2437-2442

Author(s):

Yoshihiro Suwa ◽

Yoshiyuki Saito ◽

Hidehiro Onodera

Keyword(s):

Grain Boundary ◽

Grain Growth ◽

Phase Field ◽

Large Scale ◽

Field Model ◽

Phase Field Model ◽

High Mobility ◽

Minor Component ◽

Three Dimensions ◽

A Minor

The kinetics and topology of grain growth in three dimensions were simulated using a phase-field model with anisotropic grain-boundary mobilities. In order to perform large scale calculations we applied both modifications of algorithms and parallel coding techniques to the Fan and Chen's phase-field algorithm. Kinetics of abnormal grain growth is presented. It is observed that the grains of a minor component which are at the beginning surrounded preferentially by boundaries of high mobility grow faster than the grains of a major component until the texture reverses completely. Additionally, topological results of grain structures, such as grain size distributions and grain face distributions, are discussed

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