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Topology Based Growth Law and New Analytical Grain Size Distribution Function of 3D Grain Growth

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Abstract:

Based on topological considerations and results of Monte Carlo Potts model simulations of three-dimensional normal grain growth it is shown that, contrary to Hillert’s assumption, the average self-similar volume change rate is a non-linear function of the relative grain size, which in the range of observed grain sizes can be approximated by a quadratic polynomial. In particular, based on an adequate modification of the effective growth law, a new analytical grain size distribution function is derived, which yields an excellent representation of the simulated grain size distribution.

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Info:

Periodical:

Materials Science Forum (Volumes 558-559)

Pages:

1183-1188

DOI:

https://doi.org/10.4028/www.scientific.net/MSF.558-559.1183

Citation:

Cite this paper

Online since:

October 2007

Authors:

Peter Streitenberger, Dana Zöllner

Keywords:

Analytical Grain Size Distribution Function, Grain Growth, Statistical Theory, Topology

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