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Simulation of 3-Dimensional Cell Population Growth Processes in Polyhedral Cellular Systems

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Abstract:

In order to simulate the polyhedral grain nucleation in alloys, 3-D cell population growth processes are studied in space-filling periodic cellular systems. We discussed two different methods by which space-filling polyhedral cellular systems can be constructed by topological transformations performed on “stable” 3-D cellular systems. It has been demonstrated that an infinite sequence of stable periodic space-filling polyhedral systems can be generated by means of a simple recursion procedure based on a vertex based tetrahedron insertion. On the basis of computed results it is conjectured that in a 3-D periodic, topologically stable cellular system the minimum value of the average face number 〈f〉 of polyhedral cells is larger than eight (i.e. 〈f〉 > 8). The outlined algorithms (which are based on cell decomposition and/or cell nucleation) provide a new perspective to simulate grain population growth processes in materials with polyhedral microstructure.

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Periodical:

Materials Science Forum (Volumes 537-538)

Pages:

579-590

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.537-538.579

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Online since:

February 2007

Authors:

Tamás Réti, Ibolya Zsoldos

Keywords:

Cell Complex, Froth, Plesiohedron, Space Filling Polyhedra, Stereohedra

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© 2007 Trans Tech Publications Ltd. All Rights Reserved

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