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

被引：21

作者：

Johnson, Oliver K. ^{[1
]}

Schuh, Christopher A. ^{[1
]}

机构：

[1] MIT, Dept Mat Sci & Engn, Cambridge, MA 02139 USA

来源：

ACTA MATERIALIA | 2013年 / 61卷 / 08期

基金：

美国国家科学基金会;

关键词：

Triple junction; Triple junction distribution function; Microstructure design; Grain boundary engineering; HYPERSPHERICAL HARMONICS; CHARACTER-DISTRIBUTION; POLYCRYSTALLINE MATERIALS; COUPLING-COEFFICIENTS; PERCOLATION BEHAVIOR; FCC MATERIALS; TEXTURE; CONNECTIVITY; CORROSION; NICKEL;

D O I：

10.1016/j.actamat.2013.01.025

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

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.

引用

页码：2863 / 2873

页数：11

共 68 条

[1]

Adams BL, 2012, MICROSTRUCTURE SENSI

[2] Coupling coefficients of SO(n) and integrals involving Jacobi and Gegenbauer polynomials [J].