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Nature 446, 995-996 (26 April 2007) | doi:10.1038/446995a; Published online 25 April 2007
Mathematical physics: Added dimensions to grain growth
David Kinderlehrer1
Abstract
A long-standing mathematical model for the growth of grains in two dimensions has been generalized to three and higher dimensions. This will aid our practical understanding of certain crucial properties of materials.
Most engineered materials, including metals and ceramics, are polycrystalline — that is, they are composed of myriad, small, crystalline grains, separated by interfaces or boundaries (Fig. 1).
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The von Neumann relation generalized to coarsening of three-dimensional microstructuresNature Article (26 Apr 2007)