Imperial College London
Alternate

Emeritus Professor Adrian Sutton FRS

Faculty of Natural Sciences, Department of Physics

Visiting Professor
 
 
 
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Contact

 

a.sutton Website

 
 
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Assistant

 

Mrs Carolyn Dale +44 (0)20 7594 7579

 
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Location

 

Blackett LaboratorySouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Sutton:2015:10.1098/rspa.2015.0442,
author = {Sutton, AP and Banks, EP and Warwick, AR},
doi = {10.1098/rspa.2015.0442},
journal = {PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES},
title = {The five-dimensional parameter space of grain boundaries},
url = {http://dx.doi.org/10.1098/rspa.2015.0442},
volume = {471},
year = {2015}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - To specify a grain boundary at a macroscopic length scale requires the specification of five degrees of freedom. We use a specification in which three degrees of freedom associated with the boundary misorientation are in an orthogonal subspace from two associated with the mean boundary plane. By using Rodrigues vectors to describe rotations, we show how paths through these subspaces may be characterized. Some of these paths correspond to physical processes involving grain boundaries during microstructural evolution. Exploiting the orthogonality of the subspaces, a metric to measure ‘distance’ between two boundaries is defined in terms of the minimum set of rotations required to map one boundary on to the other. We compare our metric with others that have appeared. The existence of rotational symmetry in face-centred cubic crystals leads to as many as 2304 equivalent specifications of a boundary. We illustrate this multiplicity of descriptions for the (111) twin and a more general boundary. We present an algorithm to evaluate the geodesic distance between two boundaries, and apply it to identify the path along which the distance between these two boundaries is minimized. In general, the shortest path does not involve descriptions of boundary misorientations with the smallest misorientation angles.
AU  - Sutton,AP
AU  - Banks,EP
AU  - Warwick,AR
DO  - 10.1098/rspa.2015.0442
PY  - 2015///
SN  - 1364-5021
TI  - The five-dimensional parameter space of grain boundaries
T2  - PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES
UR  - http://dx.doi.org/10.1098/rspa.2015.0442
UR  - http://hdl.handle.net/10044/1/27772
VL  - 471
ER  -
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