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

Miyoshi, Eisuke; Takaki, Tomohiro

doi:10.1016/j.commatsci.2015.10.010

Cited by 61 publications

(27 citation statements)

References 58 publications

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“…For example, Monte Carlo (MD) simulations based on the Potts model 5) are often used to study the grain growth kinetics. [6][7][8][9][10] Moreover, cellular automata (CA), [11][12][13][14] front tracking method, [15][16][17] level-set model, 18) vertex model, 19) surface-evolver model, 20) phasefield model [21][22][23][24][25][26][27] have been widely employed to discuss the grain growth kinetics from the mesoscale point of view. Especially, the multi-phase-field simulation 28,29) is a powerful tool to investigate microstructure evolution since it is not necessary to explicitly track the position of grain boundaries in the polycrystalline microstructure.…”

mentioning

confidence: 99%

Grain Growth in Large-Scale Molecular Dynamics Simulation: Linkage between Atomic Configuration and von Neumann-Mullins Relation

Okita

Shibuta

2016

ISIJ Int.

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confidence: 99%

Grain Growth in Large-Scale Molecular Dynamics Simulation: Linkage between Atomic Configuration and von Neumann-Mullins Relation

Okita

Shibuta

2016

ISIJ Int.

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“…Therefore, if an error of ~10% is acceptable, the MPF model is considered suitable for modeling grain growth under energy anisotropy within the ratio of the minimum-to-maximum boundary energy of 0.2. Note that the accuracy of the MPF model obtained here is visibly better than that in our previous study; 68) this is because, as described in Section 2.2, the iterative algorithm of Takaki et al 70) was employed in the present MPF simulations, which significantly improves the computational accuracy. In Fig.…”

Section: Effect Of Anisotropic Grain Boundary Energymentioning

confidence: 60%

“…Finally, in the same section, we discuss a way to improve the accuracy based on the higher-order modification. [63][64][65][66][67][68]…”

Section: Introductionmentioning

confidence: 99%

Accuracy Evaluation of Phase-field Models for Grain Growth Simulation with Anisotropic Grain Boundary Properties

et al. 2020

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The phase-field method has been widely employed recently for simulating grain growth. Phase-field grain growth models are classified into two types according to their conservation constraints for phase-field variables: the multi-phase-field model and the continuum-field model. In addition, within the multi-phase-field model framework, three models with different formulations exist. These models are reported to accurately simulate grain growth under conditions of isotropic or weakly anisotropic grain boundary energy and mobility. However, for cases of strongly anisotropic grain boundary properties, the accuracy of these models has not yet been examined in detail. In this study, using the continuum-field model and three different multi-phase-field models, systematic grain growth simulations with anisotropic grain boundary energies and mobilities are performed. Through the detailed investigation of the accuracy of the simulated results, the suitability of each model for anisotropic grain growth simulations is revealed. Furthermore, based on the higher-order terms, accuracy improvement of the phase-field models is attempted.

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“…In addition, phase field models provide outputs in a physical time rather than that of a numerical time as in MC models. In particular, multi-phase field modelling (MPFM) is frequently used as a computational method to simulate the microstructure evolution of metallurgical phenomena, including phase transformation [57,58], recrystallization [59,60] and grain growth [61][62][63]. As a diffuse-interface model, MPFM uses a finite thickness to describe the interfaces, within which the physical properties change continuously.…”

Section: Methodsmentioning

confidence: 99%

Phase Field Modelling of Abnormal Grain Growth

2019

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Heterogeneous grain structures may develop due to abnormal grain growth during processing of polycrystalline materials ranging from metals and alloys to ceramics. The phenomenon must be controlled in practical applications where typically homogeneous grain structures are desired. Recent advances in experimental and computational techniques have, thus, stimulated the need to revisit the underlying growth mechanisms. Here, phase field modelling is used to systematically evaluate conditions for initiation of abnormal grain growth. Grain boundaries are classified into two classes, i.e., high- and low-mobility boundaries. Three different approaches are considered for having high- and low-mobility boundaries: (i) critical threshold angle of grain boundary disorientation above which boundaries are highly mobile, (ii) two grain types A and B with the A–B boundaries being highly mobile, and (iii) three grain types, A, B and C with the A–B boundaries being fast. For these different scenarios, 2D simulations have been performed to quantify the effect of variations in the mobility ratio, threshold angle and fractions of grain types, respectively, on the potential onset of abnormal grain growth and the degree of heterogeneity in the resulting grain structures. The required mobility ratios to observe abnormal grain growth are quantified as a function of the fraction of high-mobility boundaries. The scenario with three grain types (A, B, C) has been identified as one that promotes strongly irregular abnormal grains including island grains, as observed experimentally.

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

Cited by 61 publications

References 58 publications

Grain Growth in Large-Scale Molecular Dynamics Simulation: Linkage between Atomic Configuration and von Neumann-Mullins Relation

Grain Growth in Large-Scale Molecular Dynamics Simulation: Linkage between Atomic Configuration and von Neumann-Mullins Relation

Accuracy Evaluation of Phase-field Models for Grain Growth Simulation with Anisotropic Grain Boundary Properties

Phase Field Modelling of Abnormal Grain Growth

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