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Relationship between grain size and shape in normal grain growth: a phase-field study

Reza Darvishi Kamachali, Ruhr-Universität Bochum, Bochum, Germany

Ingo Steinbach, Ruhr-Universität Bochum, Bochum, Germany

Time & Place
  • Date: 10.09.2013
  • Time:
  • Place: EUROMAT 2013, Sevilla, Spain

Abstract

3D phase-field simulations of normal grain growth are investigated from topological and statistical perspectives [1]. Starting from a uniform distribution, a self-similar grain size distribution has been observed which differs from mean field prediction [2]. The distribution of topological classes, as characterized by the number of facets per grain, is found to be time-invariant and, it is in good agreement with analytical derivation [3] and previous simulation studies [4]. The volumetric growth rate per topological class also correlates well with the analytical expression obtained by Mullins [5]. The relationship between size and shape of the grains uncovers the existence of a geometrical drag imposed by mobile triple junctions. Our studies suggest a modified kinetic equation for steady-state normal grain growth.

[1] Darvishi Kamachali R, Steinbach I. Act Mater 2012;60:2719.
[2] Hillert M. Act Metall 1956;13:227.
[3] Rios PR, Glicksman ME. Act Mater 2008;56:1165.
>[4] Lazar EA, Mason JK, MacPherson RD, Srolovitz DJ. Act Mater 2011;59:6837.
[5] Mullins WW. Act Mater 1956;3:900.

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