1. Theoretical and computer models of three-dimensional grain boundary migration with mobile particles
- Author
-
Di Prinzio, Carlos Leonardo and Achaval, Pastor Ignacio
- Subjects
Crystals -- Growth ,Grain boundaries -- Models ,Algorithms -- Usage ,Algorithm ,Physics - Abstract
In this work, the migration of a three-dimensional (3D) spherical crystal in the presence of mobile particles using a Monte Carlo algorithm was studied. Different concentrations of particles (f) and different particle mobilities ([M.sub.p]) were used. It was found that the grain size reaches a critical radius ([R.sub.c]), which depends exclusively on f. This dependence can be written as [R.sub.c] [varies] [f.sup.1/3]. The dynamic equation of grain size evolution and its analytical solution were also found. The proposed analytical solution successfully fits the simulation results. The particle fraction in the grain boundary was also found analytically and it fits the computational data. Key words: grain boundary migration, mobile particle drag, Zener drag, Monte Carlo. Nous utilisons ici un algorithme Monte Carlo pour etudier la migration de cristaux spheriques 3D en presence de particules mobiles. Nous utilisons differentes concentrations de particules (f) et differentes mobilites de particules ([M.sub.p]). Nous trouvons que la grosseur de grain atteint un rayon critique ([R.sub.c]) qui depend exclusivement de f. Cette dependance peut s'ecrire comme [R.sub.c] [varies] [f.sup.1/3]. Nous trouvons egalement l'equation dynamique de l'evolution de la grosseur de grain avec sa solution analytique. La solution analytique proposee correspond avec succes aux resultats de simulation. Nous trouvons aussi analytiquement la fraction de particule dans le joint de grain et elle correspond aux resultats de calcul. [Traduit par la Redaction] Mots-cles : migration du joint de grain, trainee de la particule mobile, trainee/epinglage de Zener, Monte Carlo., Introduction Computer modeling of grain growth in polycrystalline materials [1-4] has become more and more important in recent years. The evolution of the grains in these materials is an important [...]
- Published
- 2022
- Full Text
- View/download PDF