TITLE:
Modeling Grain Structures of Some Carbon Steels using Voronoi Tesselation
AUTHORS:
O.O. Oluwole, A.L. Akinkunmi
KEYWORDS:
microstructure -modeling, voronoi tessellation, carbon steels
JOURNAL NAME:
Journal of Minerals and Materials Characterization and Engineering,
Vol.10 No.3,
March
5,
2011
ABSTRACT: Modeled grain structures of normalized carbon steels using voronoi tessellation is reported in
this work. Three stages of programming were used in modeling the microstructures. The first
stage was iteration of the voronoi cells in order to obtain equivalent grain size with experimental
specimens. In the second stage, the pearlite phase was introduced using the lever rule
represented by a plot of random points. The third layer was modeled to reveal the grain
boundaries of the carbon steels.
The values of the grain sizes of modeled microstructures showed good agreement with
experimental values. The study has shown that the microstructures can be modeled fairly
accurately thus enabling a fairly quick export of geometric models on to some other finite
element packages for analysis of stress-strain effect on microstructure and generally a stressmicrostructure response could be determined.