Inhomogeneous Poisson Point Process Nucleation: Comparison of Analytical Solution with Cellular Automata Simulation

被引：10

作者：

Rios, Paulo Rangel ^{[1
]}

Jardim, Douglas ^{[1
]}

da Silva Assis, Weslley Luiz ^{[1
]}

Salazar, Tatiana Caneda ^{[1
]}

Villa, Elena ^{[2
]}

机构：

[1] Univ Fed Fluminense, Escola Engn Ind Met Volta Redonda, BR-27255125 Volta Redonda, RJ, Brazil

[2] Univ Milan, Dept Math, I-20133 Milan, Italy

来源：

MATERIALS RESEARCH-IBERO-AMERICAN JOURNAL OF MATERIALS | 2009年 / 12卷 / 02期

关键词：

microstructure; analytical methods; phase transformations; recrystallization; cellular automata; MICROSTRUCTURAL PATH-ANALYSIS; PHASE-CHANGE; RECRYSTALLIZATION; KINETICS; GROWTH;

D O I：

10.1590/S1516-14392009000200017

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

Microstructural evolution in three dimensions of nucleation and growth transformations is simulated by means of cellular automata (CA). In the simulation, nuclei are located in space according to a heterogeneous Poisson point processes. The simulation is compared with exact analytical solution recently obtained by Rios and Villa supposing that the intensity is a harmonic function of the spatial coordinate. The simulated data gives very good agreement with the analytical solution provided that the correct shape factor for the growing CA grains is used. This good agreement is auspicious because the analytical expressions were derived and thus are exact only if the shape of the growing regions is spherical.

引用

页码：219 / 224

页数：6

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