The uncorrelated triple junction distribution function: Towards grain boundary network design

TitleThe uncorrelated triple junction distribution function: Towards grain boundary network design
Publication TypeJournal Article
Year of Publication2013
AuthorsJohnson, OK, Schuh, CA
JournalActa Materialia
Volume61
Issue8
Pagination2863 - 2873
Date Published2013/05//
Abstract

Triple junctions are recognized as important microstructural features in the context of grain boundary network topology and grain boundary sensitive materials properties. In spite of this prominence, mathematical tools for quantifying distributions of misorientations around triple junctions have been limited to special cases. Here we derive a general formula for the uncorrelated triple junction distribution function (TJDF) for materials of arbitrary texture. Additionally, we provide the mathematical link between TJDF and the orientation distribution function, which should facilitate the use of materials design paradigms on the grain boundary network. (c) 2013 Acta Materialia Inc. Published by Elsevier Ltd. All rights reserved.