The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates
Abstract Thickness changes of ice sheets are, except perhaps at the snout region, small as compared to unity. This suggests using a coordinate stretching so as to make the surface changes in the new coordinates of order one. The explicit occurrence of the smallness parameter in the governing equatio...
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Language: | English |
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Cambridge University Press (CUP)
1981
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Online Access: | http://dx.doi.org/10.1017/s0022143000011217 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000011217 |
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crcambridgeupr:10.1017/s0022143000011217 2024-04-07T07:53:15+00:00 The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates Hutter, Kolumban 1981 http://dx.doi.org/10.1017/s0022143000011217 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000011217 en eng Cambridge University Press (CUP) Journal of Glaciology volume 27, issue 95, page 39-56 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1981 crcambridgeupr https://doi.org/10.1017/s0022143000011217 2024-03-08T00:29:41Z Abstract Thickness changes of ice sheets are, except perhaps at the snout region, small as compared to unity. This suggests using a coordinate stretching so as to make the surface changes in the new coordinates of order one. The explicit occurrence of the smallness parameter in the governing equations then allows us to search for perturbation solutions in various problems. Here, it is shown that the classical formula for the basal shear stress follows easily from such a perturbation procedure. Furthermore it can be improved to account for longitudinal strain effects. As compared to previous work in this area, these formulae are explicit and allow us to take vertical variations of material properties into account in a straightforward manner. Article in Journal/Newspaper Ice Sheet Journal of Glaciology Cambridge University Press Journal of Glaciology 27 95 39 56 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Hutter, Kolumban The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates |
topic_facet |
Earth-Surface Processes |
description |
Abstract Thickness changes of ice sheets are, except perhaps at the snout region, small as compared to unity. This suggests using a coordinate stretching so as to make the surface changes in the new coordinates of order one. The explicit occurrence of the smallness parameter in the governing equations then allows us to search for perturbation solutions in various problems. Here, it is shown that the classical formula for the basal shear stress follows easily from such a perturbation procedure. Furthermore it can be improved to account for longitudinal strain effects. As compared to previous work in this area, these formulae are explicit and allow us to take vertical variations of material properties into account in a straightforward manner. |
format |
Article in Journal/Newspaper |
author |
Hutter, Kolumban |
author_facet |
Hutter, Kolumban |
author_sort |
Hutter, Kolumban |
title |
The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates |
title_short |
The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates |
title_full |
The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates |
title_fullStr |
The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates |
title_full_unstemmed |
The Effect of Longitudinal Strain on the Shear Stress of an Ice Sheet: In Defence of Using Stretched Coordinates |
title_sort |
effect of longitudinal strain on the shear stress of an ice sheet: in defence of using stretched coordinates |
publisher |
Cambridge University Press (CUP) |
publishDate |
1981 |
url |
http://dx.doi.org/10.1017/s0022143000011217 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000011217 |
genre |
Ice Sheet Journal of Glaciology |
genre_facet |
Ice Sheet Journal of Glaciology |
op_source |
Journal of Glaciology volume 27, issue 95, page 39-56 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000011217 |
container_title |
Journal of Glaciology |
container_volume |
27 |
container_issue |
95 |
container_start_page |
39 |
op_container_end_page |
56 |
_version_ |
1795668928746225664 |