A perceptive comparison of the cellular automata and Monte Carlo techniques in application to static recrystallization modeling in polycrystalline materials

L Sieradzki, L Madej - Computational Materials Science, 2013 - Elsevier
A perceptive comparison of two numerical methods that are commonly used in explicit
modeling of microstructure evolution under thermo-mechanical conditions is the subject of …

Three-dimensional normal grain growth: Monte Carlo Potts model simulation and analytical mean field theory

D Zöllner, P Streitenberger - Scripta materialia, 2006 - Elsevier
By means of extensive Monte Carlo Potts model simulations it is shown that three-
dimensional normal grain growth can adequately be described by an average scaled growth …

Three-dimensional large-scale grain growth simulation using a cellular automaton model

J Ogawa, Y Natsume - Computational Materials Science, 2021 - Elsevier
The mechanical properties of metallic materials are highly dependent on the average and
distribution of the grain size. Therefore, it is important to accurately understand grain growth …

Correlation of thermodynamics and grain growth kinetics in nanocrystalline metals

X Song, J Zhang, L Li, K Yang, G Liu - Acta Materialia, 2006 - Elsevier
We investigated the correlation of thermodynamics and grain growth kinetics of
nanocrystalline metals both theoretically and experimentally. A model was developed to …

Mechanistic grain growth model for fresh and irradiated UO2 nuclear fuel

MR Tonks, PCA Simon, J Hirschhorn - Journal of Nuclear Materials, 2021 - Elsevier
The purpose of this work is to develop a mechanistic model of grain growth in UO 2 fuel
during reactor operation. The model development builds on published experimental data on …

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

JK Mason - Acta materialia, 2015 - Elsevier
Monte Carlo and cellular automata simulations of grain boundary motion generally suffer
from insufficient units of measure. This complicates the comparison of simulations with …

Investigating the effects of grain boundary energy anisotropy and second-phase particles on grain growth using a phase-field model

MA Zaeem, H El Kadiri, PT Wang… - Computational Materials …, 2011 - Elsevier
A phase-field model was used to investigate the simultaneous effects of grain boundary
energy anisotropy and the presence of second-phase particles on grain growth in …

Kinetics and anisotropy of the Monte Carlo model of grain growth

JK Mason, J Lind, SF Li, BW Reed, M Kumar - Acta Materialia, 2015 - Elsevier
Abstract The Monte Carlo model is one of the most frequently used approaches to simulate
grain growth, and retains a number of features that derive from the closely related Ising and …

Defects at grain boundaries: A coarse-grained, three-dimensional description by the amplitude expansion of the phase-field crystal model

M Salvalaglio, R Backofen, KR Elder, A Voigt - Physical Review Materials, 2018 - APS
We address a three-dimensional, coarse-grained description of dislocation networks at grain
boundaries between rotated crystals. The so-called amplitude expansion of the phase-field …

Influences of triple junctions on stress-assisted grain boundary motion in nanocrystalline materials

M Aramfard, C Deng - … and Simulation in Materials Science and …, 2014 - iopscience.iop.org
Stress-assisted grain boundary motion is among the most studied modes of microstructural
evolution in crystalline materials. In this study, molecular dynamics simulations were used to …