Grain boundary energy and curvature in Monte Carlo and cellular automata simulations of grain boundary motion

The selective abnormal grain growth (AGG) of Goss grains in Fe-3%Si steel was investigated using a parallel Monte-Carlo (MC) simulation based on the new concept of sub-boundary enhanced solid-state wetting. Goss grains with low angle sub-boundaries will induce solid-state wetting against matrix grains with a moderate variation in grain boundary energy. Three-dimensional MC simulations of microstructure evolution with textures and grain boundary distributions matched to experimental data is using in this study.

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Modeling of grain growth kinetics with Read–Shockley grain boundary energy by a modified Monte Carlo algorithm

Materials Letters ◽

10.1016/s0167-577x(02)00415-9 ◽

2002 ◽

Vol 56 (1-2) ◽

pp. 47-52 ◽

Cited By ~ 18

Author(s):

Qiang Yu ◽

Sven K. Esche

Keyword(s):

Monte Carlo ◽

Grain Boundary ◽

Grain Growth ◽

Growth Kinetics ◽

Boundary Energy ◽

Monte Carlo Algorithm ◽

Grain Boundary Energy ◽

Grain Growth Kinetics

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Three-Dimensional Simulation of Coarsening and Grain Growth in Sintering

Materials Science Forum ◽

10.4028/www.scientific.net/msf.539-543.2359 ◽

2007 ◽

Vol 539-543 ◽

pp. 2359-2364 ◽

Cited By ~ 1

Author(s):

Fumihiro Wakai

Keyword(s):

Grain Boundary ◽

Grain Growth ◽

Boundary Energy ◽

Three Dimensional ◽

Grain Boundary Energy ◽

Surface Evolver ◽

Grain Boundary Mobility ◽

Surface Mobility ◽

Dimensional Simulation ◽

Grain Boundary Motion

The interparticle mass transport causes the larger particles to grow at the expense of the smaller particles in the process of sintering. Coarsening during sintering results from surface motion, while grain growth results from grain boundary motion. The three-dimensional simulation was performed to study coarsening and grain growth during sintering by using the Surface Evolver program. The coarsening and grain growth were affected by the ratio of grain boundary energy to surface energy, the ratio of grain boundary mobility to surface mobility, the size of a particle, and its coordination number.

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Monte Carlo simulation of grain growth with the full spectra of grain orientation and grain boundary energy

Acta Materialia ◽

10.1016/s1359-6454(98)00391-7 ◽

1999 ◽

Vol 47 (3) ◽

pp. 1007-1017 ◽

Cited By ~ 48

Author(s):

N. Ono ◽

K. Kimura ◽

T. Watanabe

Keyword(s):

Monte Carlo Simulation ◽

Monte Carlo ◽

Grain Boundary ◽

Grain Growth ◽

Grain Orientation ◽

Boundary Energy ◽

Grain Boundary Energy

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Simulations of Anisotropic Texture Evolution on Paramagnetic and Diamagnetic Materials Subject to a Magnetic Field Using Q-State Monte Carlo

Journal of Engineering Materials and Technology ◽

10.1115/1.4033908 ◽

2016 ◽

Vol 138 (4) ◽

Cited By ~ 1

Author(s):

J. B. Allen

Keyword(s):

Magnetic Field ◽

Monte Carlo ◽

External Magnetic Field ◽

Grain Boundary ◽

Boundary Energy ◽

Magnetic Field Direction ◽

Grain Boundary Energy ◽

Average Grain Size ◽

Principal Axes ◽

The Magnetic Field

The present work incorporates a modified Q-state Monte Carlo (Potts) model to evaluate two-dimensional annealing of representative paramagnetic and diamagnetic polycrystalline materials in the presence of a magnetic field. Anisotropies in grain boundary energy, caused by differences in grain orientation (texturing), and the presence of an external magnetic field are examined in detail. In the former case, the Read–Shockley equations are used, in which grain boundary energies are computed using a low-angle misorientation approximation. In the latter case, magnetic anisotropy is simulated based on the relative orientation between the principal grain axis and the external magnetic field vector. Among other findings, the results of texture development subject to a magnetic field showed an increasing orientation distribution function (ODF) asymmetry over time, with higher intensities favoring the grains with principal axes most closely aligned with the magnetic field direction. The magnetic field also tended to increase the average grain size, which was accompanied by a corresponding decrease in the total grain boundary energy.

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