Inhomogeneous Poisson point process nucleation: comparison of analytical solution with cellular automata simulation

Materials Research

Paulo Rangel Rios²  Douglas Jardim²  Weslley Luiz Da Silva Assis²  Tatiana Caneda Salazar²  Elena Villa¹ 

[1] ,Universidade Federal Fluminense Escola de Engenharia Industrial Metalúrgica de Volta Redonda Volta Redonda RJ ,Brasil

关键词: microstructure;    analytical methods;    phase transformations;    recrystallization;    cellular automata;   

DOI  :  10.1590/S1516-14392009000200017

来源: SciELO

【 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.

【 授权许可】

CC BY   
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