Correlations among 'special' and 'general' grain boundaries are studied on two-dimensional networks, by examining the configurational entropy of boundary structures as well as percolation thresholds. Consideration of crystallographic constraints at various length scales reveals that higher-order constraints play a role in boundary connectivity and network structure. Implications for grain boundary engineering are discussed and directions for future work highlighted.
This is an author-produced, peer-reviewed version of this article. © 2009, Elsevier. Licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License (https://creativecommons.org/licenses/by-nc-nd/4.0/). The final, definitive version of this document can be found online at Scripta Materialia, doi: 10.1016/j.scriptamat.2005.11.044
Schuh, C. A. and Frary, M.. (2006). "Correlations Beyond the Nearest-Neighbor Level in Grain Boundary Networks". Scripta Materialia, 54(6), 1023-1028. http://dx.doi.org/10.1016/j.scriptamat.2005.11.044