On the Analysis of Longitudinal Stress in Glaciers
Abstract In the standard solution for the stresses in a glacier or ice sheet obeying Glen’s law, the down-slope component of the weight is supported by the basal shear stress, and the longitudinal deviatoric stress is second order. However, it has been found necessary to account for the longitudinal...
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Language: | English |
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Cambridge University Press (CUP)
1985
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Online Access: | http://dx.doi.org/10.1017/s0022143000006626 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000006626 |
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crcambridgeupr:10.1017/s0022143000006626 2024-03-03T08:45:26+00:00 On the Analysis of Longitudinal Stress in Glaciers McMeeking, R.M. Johnson, R.E. 1985 http://dx.doi.org/10.1017/s0022143000006626 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000006626 en eng Cambridge University Press (CUP) Journal of Glaciology volume 31, issue 109, page 293-302 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1985 crcambridgeupr https://doi.org/10.1017/s0022143000006626 2024-02-08T08:36:15Z Abstract In the standard solution for the stresses in a glacier or ice sheet obeying Glen’s law, the down-slope component of the weight is supported by the basal shear stress, and the longitudinal deviatoric stress is second order. However, it has been found necessary to account for the longitudinal stress gradient when relating surface to bed topography with empirical data. In addition, during rapid stretching of the glacier, perhaps during a surge, the longitudinal stress gradient becomes comparable to or larger than the shear stress, and the standard solution is not entirely valid. In this paper, we consider the analysis of the stresses and strain-rates in a glacier when the longitudinal deviatoric stresses are comparable to the basal shear stresses. In some circumstances the down-slope component of weight is not borne completely by basal shear stress to leading order and some of the weight is shifted to the longitudinal deviatoric stress gradient. This case has also been examined. The results are used to obtain expressions for basal shear stress in terms of glacier thickness, slope, surface strain-rate gradient, and ice properties. Article in Journal/Newspaper Ice Sheet Journal of Glaciology Cambridge University Press Journal of Glaciology 31 109 293 302 |
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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 McMeeking, R.M. Johnson, R.E. On the Analysis of Longitudinal Stress in Glaciers |
topic_facet |
Earth-Surface Processes |
description |
Abstract In the standard solution for the stresses in a glacier or ice sheet obeying Glen’s law, the down-slope component of the weight is supported by the basal shear stress, and the longitudinal deviatoric stress is second order. However, it has been found necessary to account for the longitudinal stress gradient when relating surface to bed topography with empirical data. In addition, during rapid stretching of the glacier, perhaps during a surge, the longitudinal stress gradient becomes comparable to or larger than the shear stress, and the standard solution is not entirely valid. In this paper, we consider the analysis of the stresses and strain-rates in a glacier when the longitudinal deviatoric stresses are comparable to the basal shear stresses. In some circumstances the down-slope component of weight is not borne completely by basal shear stress to leading order and some of the weight is shifted to the longitudinal deviatoric stress gradient. This case has also been examined. The results are used to obtain expressions for basal shear stress in terms of glacier thickness, slope, surface strain-rate gradient, and ice properties. |
format |
Article in Journal/Newspaper |
author |
McMeeking, R.M. Johnson, R.E. |
author_facet |
McMeeking, R.M. Johnson, R.E. |
author_sort |
McMeeking, R.M. |
title |
On the Analysis of Longitudinal Stress in Glaciers |
title_short |
On the Analysis of Longitudinal Stress in Glaciers |
title_full |
On the Analysis of Longitudinal Stress in Glaciers |
title_fullStr |
On the Analysis of Longitudinal Stress in Glaciers |
title_full_unstemmed |
On the Analysis of Longitudinal Stress in Glaciers |
title_sort |
on the analysis of longitudinal stress in glaciers |
publisher |
Cambridge University Press (CUP) |
publishDate |
1985 |
url |
http://dx.doi.org/10.1017/s0022143000006626 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000006626 |
genre |
Ice Sheet Journal of Glaciology |
genre_facet |
Ice Sheet Journal of Glaciology |
op_source |
Journal of Glaciology volume 31, issue 109, page 293-302 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000006626 |
container_title |
Journal of Glaciology |
container_volume |
31 |
container_issue |
109 |
container_start_page |
293 |
op_container_end_page |
302 |
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1792500999099777024 |