The triple junction hull: Tools for grain boundary network design

Grain boundary engineering (GBE) studies have demonstrated significant materials properties enhancements by modifying the populations and connectivity of different types of grain boundaries within the grain boundary network. In order to facilitate rigorous design and optimization of grain boundary n...

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Main Authors: Johnson, Oliver Kent, Schuh, Christopher A
Other Authors: Massachusetts Institute of Technology. Department of Materials Science and Engineering
Format: Article
Language:en_US
Published: Elsevier 2016
Online Access:http://hdl.handle.net/1721.1/104956
https://orcid.org/0000-0001-7827-1271
https://orcid.org/0000-0001-9856-2682
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author Johnson, Oliver Kent
Schuh, Christopher A
author2 Massachusetts Institute of Technology. Department of Materials Science and Engineering
author_facet Massachusetts Institute of Technology. Department of Materials Science and Engineering
Johnson, Oliver Kent
Schuh, Christopher A
author_sort Johnson, Oliver Kent
collection MIT
description Grain boundary engineering (GBE) studies have demonstrated significant materials properties enhancements by modifying the populations and connectivity of different types of grain boundaries within the grain boundary network. In order to facilitate rigorous design and optimization of grain boundary networks, we develop theoretical tools that are based upon a spectral representation of grain boundary network statistics. We identify the connection between a local length scale, embodied by triple junctions, and a global length scale, associated with the grain boundary network configuration as a whole. We define the local state space for triple junctions, A(3)A(3), and enumerate its symmetries. We further define the design space for grain boundary networks, View the MathML sourceMH(3), characterize its important geometric properties, and discuss how its convexity permits grain boundary network design. We also investigate the extent to which the control of texture alone allows one to probe the full design space.
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spelling mit-1721.1/1049562022-10-01T18:39:34Z The triple junction hull: Tools for grain boundary network design Johnson, Oliver Kent Schuh, Christopher A Massachusetts Institute of Technology. Department of Materials Science and Engineering Schuh, Christopher A Johnson, Oliver Kent Schuh, Christopher A Grain boundary engineering (GBE) studies have demonstrated significant materials properties enhancements by modifying the populations and connectivity of different types of grain boundaries within the grain boundary network. In order to facilitate rigorous design and optimization of grain boundary networks, we develop theoretical tools that are based upon a spectral representation of grain boundary network statistics. We identify the connection between a local length scale, embodied by triple junctions, and a global length scale, associated with the grain boundary network configuration as a whole. We define the local state space for triple junctions, A(3)A(3), and enumerate its symmetries. We further define the design space for grain boundary networks, View the MathML sourceMH(3), characterize its important geometric properties, and discuss how its convexity permits grain boundary network design. We also investigate the extent to which the control of texture alone allows one to probe the full design space. United States. Dept. of Energy. Office of Basic Energy Sciences (Award no. DE-SC0008926) United States. Department of Defense (National Defense Science & Engineering Graduate Fellowship Program) 2016-10-24T19:34:39Z 2016-10-24T19:34:39Z 2014-04 2014-03 Article http://purl.org/eprint/type/JournalArticle 00225096 http://hdl.handle.net/1721.1/104956 Johnson, Oliver K., and Christopher A. Schuh. "The triple junction hull: Tools for grain boundary network design." Journal of the Mechanics and Physics of Solids 69 (September 2014), pp.2-13. https://orcid.org/0000-0001-7827-1271 https://orcid.org/0000-0001-9856-2682 en_US http://dx.doi.org/10.1016/j.jmps.2014.04.005 Journal of the Mechanics and Physics of Solids Creative Commons Attribution-NonCommercial-NoDerivs License http://creativecommons.org/licenses/by-nc-nd/4.0/ application/pdf Elsevier Prof. Schuh via Angie Locknar
spellingShingle Johnson, Oliver Kent
Schuh, Christopher A
The triple junction hull: Tools for grain boundary network design
title The triple junction hull: Tools for grain boundary network design
title_full The triple junction hull: Tools for grain boundary network design
title_fullStr The triple junction hull: Tools for grain boundary network design
title_full_unstemmed The triple junction hull: Tools for grain boundary network design
title_short The triple junction hull: Tools for grain boundary network design
title_sort triple junction hull tools for grain boundary network design
url http://hdl.handle.net/1721.1/104956
https://orcid.org/0000-0001-7827-1271
https://orcid.org/0000-0001-9856-2682
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