Using of the Averaged Voronoi Polyhedron for the Equiaxed Solidification Modeling

Abstract:

For the characterization of the equiaxed polycrystalline structure the Dirichlet tessellation is often used. The results of this space decomposition Voronoi polyhedrons are convex but not necessarily bounded. Size, volume and other characteristics of these bodies are the random variables. Parameters of the Averaged Voronoi Polyhedron are used in the presented paper for the modeling of the diffusion controlled peritectic transformation. Proposed model takes into account decreasing of the transformation interface surface in the remote regions of the diffusion field due to the probabilistic grains impingements. The results of the modeling are compared with the microstructure of the Pb-32 wt.% Bi alloy and thermal analysis results.

• Periodical: Materials Science Forum (Volumes 790-791)
• Pages: 91-96
• DOI: https://doi.org/10.4028/www.scientific.net/MSF.790-791.91
• Online since: May 2014
• Authors: Andriy A. Burbelko, Jacek Początek, Daniel Gurgul*, Marek Wróbel
• Keywords: Averaged Voronoi Polyhedron, Elementary Micro-Diffusion Field, Solidification Modeling

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