Vector analysis of ice-fabric data
Abstract The mechanical properties of ice are strongly affected by crystal texture and c -axis alignment. In this paper, we develop a general quantitative method for analysis of uniaxial crystal-orientation data. These data are represented as unit vectors from the origin with end points on the surfa...
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Cambridge University Press (CUP)
1993
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Online Access: | http://dx.doi.org/10.1017/s0022143000015951 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000015951 |
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crcambridgeupr:10.1017/s0022143000015951 2024-03-03T08:46:02+00:00 Vector analysis of ice-fabric data Ferrick, M.G. Claffey, K.J. 1993 http://dx.doi.org/10.1017/s0022143000015951 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000015951 en eng Cambridge University Press (CUP) Journal of Glaciology volume 39, issue 132, page 292-302 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1993 crcambridgeupr https://doi.org/10.1017/s0022143000015951 2024-02-08T08:42:50Z Abstract The mechanical properties of ice are strongly affected by crystal texture and c -axis alignment. In this paper, we develop a general quantitative method for analysis of uniaxial crystal-orientation data. These data are represented as unit vectors from the origin with end points on the surface of a unit sphere. An orthogonal least-squares error measure is used to develop equations that define the closest plane and line through the data. The resulting eigenvalue problem is identical to that obtained by other investigators using different methods. However, here we identify an implicit assumption in the method, and observe that the error measure represents physical distance and quantifies the goodness of fit to the data of idealized structures. Also, a method is developed to transform the data and the results for viewing on Schmidt nets drawn in the best plane and the predominant basal plane of a sample, in addition to the standard xy -plane. Applications of the analysis to sea-ice samples include both numerical and Schmidt-net presentations of results. Article in Journal/Newspaper Journal of Glaciology Sea ice Cambridge University Press Journal of Glaciology 39 132 292 302 |
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Open Polar |
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Cambridge University Press |
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crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Ferrick, M.G. Claffey, K.J. Vector analysis of ice-fabric data |
topic_facet |
Earth-Surface Processes |
description |
Abstract The mechanical properties of ice are strongly affected by crystal texture and c -axis alignment. In this paper, we develop a general quantitative method for analysis of uniaxial crystal-orientation data. These data are represented as unit vectors from the origin with end points on the surface of a unit sphere. An orthogonal least-squares error measure is used to develop equations that define the closest plane and line through the data. The resulting eigenvalue problem is identical to that obtained by other investigators using different methods. However, here we identify an implicit assumption in the method, and observe that the error measure represents physical distance and quantifies the goodness of fit to the data of idealized structures. Also, a method is developed to transform the data and the results for viewing on Schmidt nets drawn in the best plane and the predominant basal plane of a sample, in addition to the standard xy -plane. Applications of the analysis to sea-ice samples include both numerical and Schmidt-net presentations of results. |
format |
Article in Journal/Newspaper |
author |
Ferrick, M.G. Claffey, K.J. |
author_facet |
Ferrick, M.G. Claffey, K.J. |
author_sort |
Ferrick, M.G. |
title |
Vector analysis of ice-fabric data |
title_short |
Vector analysis of ice-fabric data |
title_full |
Vector analysis of ice-fabric data |
title_fullStr |
Vector analysis of ice-fabric data |
title_full_unstemmed |
Vector analysis of ice-fabric data |
title_sort |
vector analysis of ice-fabric data |
publisher |
Cambridge University Press (CUP) |
publishDate |
1993 |
url |
http://dx.doi.org/10.1017/s0022143000015951 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000015951 |
genre |
Journal of Glaciology Sea ice |
genre_facet |
Journal of Glaciology Sea ice |
op_source |
Journal of Glaciology volume 39, issue 132, page 292-302 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000015951 |
container_title |
Journal of Glaciology |
container_volume |
39 |
container_issue |
132 |
container_start_page |
292 |
op_container_end_page |
302 |
_version_ |
1792501865334702080 |