Creep-Velocity Bounds and Glacier-Flow Problems
Abstract A general result due to Martin can be used to find upper and lower bounds on velocities in steady-creep problems. This method can be applied to glacier flow if ice can be assumed to satisfy a powerlaw stress–strain-rate relation. Bounds on the mean velocity over the glacier cross-section an...
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Language: | English |
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Cambridge University Press (CUP)
1967
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Online Access: | http://dx.doi.org/10.1017/s0022143000019699 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000019699 |
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crcambridgeupr:10.1017/s0022143000019699 2024-03-03T08:46:08+00:00 Creep-Velocity Bounds and Glacier-Flow Problems Palmer, Andrew C. 1967 http://dx.doi.org/10.1017/s0022143000019699 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000019699 en eng Cambridge University Press (CUP) Journal of Glaciology volume 6, issue 46, page 479-488 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1967 crcambridgeupr https://doi.org/10.1017/s0022143000019699 2024-02-08T08:47:47Z Abstract A general result due to Martin can be used to find upper and lower bounds on velocities in steady-creep problems. This method can be applied to glacier flow if ice can be assumed to satisfy a powerlaw stress–strain-rate relation. Bounds on the mean velocity over the glacier cross-section and on the mean velocity on the surface are determined for a particular example (a uniform parabolic channel, with powerlaw exponent 3) and they are shown to bound quite closely the exact solutions due to Nye. Bounds can be found rapidly by hand calculation. The method can be applied to real glacier cross-sections measured in the field. Article in Journal/Newspaper Journal of Glaciology Cambridge University Press Journal of Glaciology 6 46 479 488 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Palmer, Andrew C. Creep-Velocity Bounds and Glacier-Flow Problems |
topic_facet |
Earth-Surface Processes |
description |
Abstract A general result due to Martin can be used to find upper and lower bounds on velocities in steady-creep problems. This method can be applied to glacier flow if ice can be assumed to satisfy a powerlaw stress–strain-rate relation. Bounds on the mean velocity over the glacier cross-section and on the mean velocity on the surface are determined for a particular example (a uniform parabolic channel, with powerlaw exponent 3) and they are shown to bound quite closely the exact solutions due to Nye. Bounds can be found rapidly by hand calculation. The method can be applied to real glacier cross-sections measured in the field. |
format |
Article in Journal/Newspaper |
author |
Palmer, Andrew C. |
author_facet |
Palmer, Andrew C. |
author_sort |
Palmer, Andrew C. |
title |
Creep-Velocity Bounds and Glacier-Flow Problems |
title_short |
Creep-Velocity Bounds and Glacier-Flow Problems |
title_full |
Creep-Velocity Bounds and Glacier-Flow Problems |
title_fullStr |
Creep-Velocity Bounds and Glacier-Flow Problems |
title_full_unstemmed |
Creep-Velocity Bounds and Glacier-Flow Problems |
title_sort |
creep-velocity bounds and glacier-flow problems |
publisher |
Cambridge University Press (CUP) |
publishDate |
1967 |
url |
http://dx.doi.org/10.1017/s0022143000019699 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000019699 |
genre |
Journal of Glaciology |
genre_facet |
Journal of Glaciology |
op_source |
Journal of Glaciology volume 6, issue 46, page 479-488 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000019699 |
container_title |
Journal of Glaciology |
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6 |
container_issue |
46 |
container_start_page |
479 |
op_container_end_page |
488 |
_version_ |
1792502081510178816 |