Correlation between three-dimensional and cross-sectional characteristics of ideal grain growth: large-scale phase-field simulation study

Miyoshi, Eisuke; Takaki, Tomohiro; Ohno, Munekazu; Shibuta, Yasushi; Sakane, Shinji; Shimokawabe, Takashi; Aoki, Takayuki

doi:10.1007/s10853-018-2680-y

Cited by 15 publications

(20 citation statements)

References 78 publications

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“…Stereological analysis was performed manually to exclude the measurement of unwanted artefacts in imperfect metallographic preparation. To solve numerical calculations of local plastic deformation, it was necessary, similarly to Miyoshi, E. et al, to use a mathematical model created by the Monte Carlo method (Miyoshi, 2018). For verification of the results obtained experimentally, simulations were implemented in the Deform simulation program like Hatala et al (2020).…”

Section: Discussionmentioning

confidence: 99%

“…The extent to which the 3D microstructural characteristics can be obtained from cross-sectional observations remains unclear. Miyoshi, E. et al also pay attention to this problem, claiming that there additionally exists some disagreement as to whether a cross-sectional view of 3D grain growth can be fully approximated by 2D growth (Miyoshi, 2018). To clarify the development of the texture, it is important to understand the deformation process and it cannot be achieved without knowing the changes that occur throughout the volume of material.…”

Section: Introductionmentioning

confidence: 99%

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Estimation of Local Plastic Deformation in a Bulk of Polycrystalline Materials

Vyskočová

Martinkovič

Necpal

et al. 2021

JER is an international, peer-reviewed journal that publishes f

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The article deals with the local plastic deformation analysis after cold forming. The technology of drawing seamless steel tubes was used to obtain cold-formed samples. The tubes were manufactured by a Tinius Olsen 300ST tensile tester with a 6 ° and 12 ° die drawn without and with an inner mandrel. Based on orientation size recalculated by stereology and applying Monte Carlo method a mathematical conversion model was developed. Implemented model together with surface measurements and structure characteristics were used to get the orientation to the size of the deformation. Thus, the actual (logarithmic) deformations and local stresses were determined. Comparison of experimentally measured values of the actual local plastic deformation with the deformation calculated found on the model simulation in the Deform program defined the significance of the differences assessed by means of a statistical T-test. All differences in the values of the local plastic deformation with respect to the position were evaluated as statistically insignificant and therefore the difference between the experimental calculation and the simulation is random.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Estimation of Local Plastic Deformation in a Bulk of Polycrystalline Materials

Vyskočová

Martinkovič

Necpal

et al. 2021

JER is an international, peer-reviewed journal that publishes f

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“…The grain size of fine-grained areas only, abnormal grains were not included in these values, was calculated by the linear intercept method (EN 623-3) and then multiplied by a factor of 1.56. 13 The size of AG was calculated according to the following equation and then multiplied by a factor of 1.2 14 :…”

Section: Methodsmentioning

confidence: 99%

“…The grain size of fine‐grained areas only, abnormal grains were not included in these values, was calculated by the linear intercept method (EN 623‐3) and then multiplied by a factor of 1.56 13 . The size of AG was calculated according to the following equation and then multiplied by a factor of 1.2 14 :

\begin{equation}d\; = {\left( {\frac{{4S}}{\pi }} \right)^{1/2}}\;\;\end{equation}

where

d

is the grain size and

S

is the grain area obtained from the SEM image. The crystallographic orientation of the grains was evaluated by electron backscatter diffraction (EBSD).…”

Section: Methodsmentioning

confidence: 99%

Abnormal grain growth in DC flash sintered 3‐mol% yttria‐stabilized zirconia ceramics

et al. 2022

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The origin of nonuniform microstructure and abnormal grain growth (AGG) was investigated in flash sintered 3 mol% yttria‐stabilized zirconia (3YSZ) ceramics. The microstructural homogeneity decreased with increasing direct current (DC) density and with dwell time in a flash state, eventually resulting in AGG in the specimen core, the first observation of AGG in 3YSZ. Abnormal grains up to 100 μm in size emerged when the DC density was ≥160 mA/mm2, and the specimen's density exceeded 99% of theoretical, starting from the cathode and propagating toward the anode. The results are discussed by comparison with established mechanisms and previous experimental evidence concerning AGG in oxides, focusing on the possible effects of the electrochemical reduction at the cathode end of the specimen.

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“…With the benefit of rapid developments in high-performance computing, recent phase-field simulations have enabled significant contributions toward elucidating various metallurgical processes, including grain growth. [27][28][29][30][31][32][33][34] Most phase-field studies on grain growth have focused on ideal grain growth under the conditions of isotropic grain boundary energy and mobility. However, in actual materials, these grain boundary properties are usually strongly anisotropic, with largely different values for each grain boundary.…”

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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Correlation between three-dimensional and cross-sectional characteristics of ideal grain growth: large-scale phase-field simulation study

Cited by 15 publications

References 78 publications

Estimation of Local Plastic Deformation in a Bulk of Polycrystalline Materials

Estimation of Local Plastic Deformation in a Bulk of Polycrystalline Materials

Abnormal grain growth in DC flash sintered 3‐mol% yttria‐stabilized zirconia ceramics

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

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