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Simple Geometrical Aspects of Grain Growth in the Framework of Herring’s Analysis and a Disclination Model

18 Pages Posted: 28 Mar 2019 Publication Status: Accepted

See all articles by Reiner Kirchheim

Reiner Kirchheim

University of Göttingen - aInstitut of Materials Physics; Kyushu University - International Institute for Carbon Neutral Energy Research

Abstract

The time change of the area of a single grain is calculated in 2D by applying Herring’s analysis. The grain is a regular n-sided polygon with its corners representing triple junctions (TJs). The resulting change of grain area is compared to the Von Neumann–Mullins analysis, where grain boundaries (GB) are curved and angles at TJs are equilibrium angles. The rates of area change are similar with the largest deviation for triangles. For both cases of different angles at TJs polygons with n<6 shrink and those with n>6 grow. Pieces of evidence are provided for describing the GB-movement by disclination generation and motion due to thermal fluctuations. Thus besides energy considerations a stochastic element comes into play.

Keywords: Von Neumann–Mullins analysis, grain boundaries, grain growth, disclinations, defactant concept

Suggested Citation

Kirchheim, Reiner, Simple Geometrical Aspects of Grain Growth in the Framework of Herring’s Analysis and a Disclination Model (March 23, 2019). Available at SSRN: https://ssrn.com/abstract=3358866 or http://dx.doi.org/10.2139/ssrn.3358866

Reiner Kirchheim (Contact Author)

University of Göttingen - aInstitut of Materials Physics ( email )

Platz der Gottinger Sieben 3
Gottingen, D-37073
Germany

Kyushu University - International Institute for Carbon Neutral Energy Research ( email )

6-19-1, Hakozaki, Higashiku
Fukuoka, 812-8581
Japan

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