Place: EUROMAT 2013, Sevilla, Spain
Reza Darvishi Kamachali
3D phase-field simulations of normal grain growth are investigated from topological and statistical perspectives . Starting from a uniform distribution, a self-similar grain size distribution has been observed which differs from mean field prediction . 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  and previous simulation studies . The volumetric growth rate per topological class also correlates well with the analytical expression obtained by Mullins . 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.
 Darvishi Kamachali R, Steinbach I. Act Mater 2012;60:2719.  Hillert M. Act Metall 1956;13:227.  Rios PR, Glicksman ME. Act Mater 2008;56:1165. > Lazar EA, Mason JK, MacPherson RD, Srolovitz DJ. Act Mater 2011;59:6837.  Mullins WW. Act Mater 1956;3:900.