4.4 Article

Effect of finite boundary junction mobility on the growth rate of grains in 3D polycrystals

Journal

PHILOSOPHICAL MAGAZINE
Volume 92, Issue 9, Pages 1046-1057

Publisher

TAYLOR & FRANCIS LTD
DOI: 10.1080/14786435.2011.637986

Keywords

grain growth; finite mobility; triple junction; MacPherson-Srolovitz equation; n-hedra

Funding

  1. collaborative research centre of the Deutsche Forschungsgemeinschaft (DFG) [SFB 761]
  2. DFG [Go335, RUS113/846/0-2(R)]
  3. Russian Foundation of Fundamental Research [DFG-RRFI 09-02-91339)]

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With decreasing grain size, grain boundary junctions become increasingly important for microstructure evolution. We show that the effect of a limited mobility of triple junctions on the growth rate of polycrystals can be implemented in theories of three-dimensional (3D) grain growth. Respective analytical relations are derived on the basis of the average n-hedra approach introduced by Glicksman to describe the volume rate of change of 3D grains in a polycrystalline aggregate under the impact of a limited triple junction mobility. The theoretical predictions were compared to network-model computer simulations, and good agreement was obtained.

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