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

Content Provider	Open Access Library (OALib)
Author	Jardim Douglas Villa Elena Assis Weslley Luiz da Silva Rios Paulo Rangel Salazar Tatiana Caneda
Abstract	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.
ISSN	15161439
Journal	Materials Research
DOI	10.1590/S1516-14392009000200017
Publisher	ABM, ABC, ABPol, SBCC, SBCr, SBMM, SBPMat
Publisher Date	2009-01-01
Access Restriction	Open
Subject Keyword	Analytical methods Cellular automata. Phase transformations Microstructure Recrystallization
Content Type	Text
Resource Type	Article
Subject	Mechanics of Materials Condensed Matter Physics Materials Science Mechanical Engineering

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