Concentrated Loads on a Floating Ice Sheet
Abstract The safe bearing capacity of a floating ice sheet is usually determined by limiting the maximum tensile stress which occurs under the load at the bottom of the ice sheet. If the size of the load distribution is large compared to the ice thickness, the thin plate theory predicts these stress...
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Cambridge University Press (CUP)
1977
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Online Access: | http://dx.doi.org/10.1017/s0022143000029312 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000029312 |
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crcambridgeupr:10.1017/s0022143000029312 2024-03-03T08:45:23+00:00 Concentrated Loads on a Floating Ice Sheet Nevel, D. E. 1977 http://dx.doi.org/10.1017/s0022143000029312 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000029312 en eng Cambridge University Press (CUP) Journal of Glaciology volume 19, issue 81, page 237-245 ISSN 0022-1430 1727-5652 Earth-Surface Processes journal-article 1977 crcambridgeupr https://doi.org/10.1017/s0022143000029312 2024-02-08T08:40:37Z Abstract The safe bearing capacity of a floating ice sheet is usually determined by limiting the maximum tensile stress which occurs under the load at the bottom of the ice sheet. If the size of the load distribution is large compared to the ice thickness, the thin plate theory predicts these stresses correctly. However, if the size of the load distribution becomes small compared to the ice thickness, the plate theory overestimates the stresses. In this case the ice sheet should he treated as a three-dimensional elastic layer. Previous investigators have solved the elastic-layer problem for loads distributed over a circular area, and have limited the results to the stress at the bottom of the ice sheet directly under the center of the load. In the present paper the stresses are evaluated at any radial position, and it is shown how these stresses approach those for the plate theory as the radial position becomes large. The solutions for the stresses are presented in integral form, as well as graphs from the numerical integration. These new results are significant for the superposition of stresses when two concentrated loads act near each other. Similarly for loads distributed over a rectangular area, the plate theory will overestimate the stresses if the dimensions of the load becomes small compared to the ice thickness. For this case integral solutions are presented for the stresses, and are evaluated directly under the center of the load. Article in Journal/Newspaper Ice Sheet Journal of Glaciology Cambridge University Press Journal of Glaciology 19 81 237 245 |
institution |
Open Polar |
collection |
Cambridge University Press |
op_collection_id |
crcambridgeupr |
language |
English |
topic |
Earth-Surface Processes |
spellingShingle |
Earth-Surface Processes Nevel, D. E. Concentrated Loads on a Floating Ice Sheet |
topic_facet |
Earth-Surface Processes |
description |
Abstract The safe bearing capacity of a floating ice sheet is usually determined by limiting the maximum tensile stress which occurs under the load at the bottom of the ice sheet. If the size of the load distribution is large compared to the ice thickness, the thin plate theory predicts these stresses correctly. However, if the size of the load distribution becomes small compared to the ice thickness, the plate theory overestimates the stresses. In this case the ice sheet should he treated as a three-dimensional elastic layer. Previous investigators have solved the elastic-layer problem for loads distributed over a circular area, and have limited the results to the stress at the bottom of the ice sheet directly under the center of the load. In the present paper the stresses are evaluated at any radial position, and it is shown how these stresses approach those for the plate theory as the radial position becomes large. The solutions for the stresses are presented in integral form, as well as graphs from the numerical integration. These new results are significant for the superposition of stresses when two concentrated loads act near each other. Similarly for loads distributed over a rectangular area, the plate theory will overestimate the stresses if the dimensions of the load becomes small compared to the ice thickness. For this case integral solutions are presented for the stresses, and are evaluated directly under the center of the load. |
format |
Article in Journal/Newspaper |
author |
Nevel, D. E. |
author_facet |
Nevel, D. E. |
author_sort |
Nevel, D. E. |
title |
Concentrated Loads on a Floating Ice Sheet |
title_short |
Concentrated Loads on a Floating Ice Sheet |
title_full |
Concentrated Loads on a Floating Ice Sheet |
title_fullStr |
Concentrated Loads on a Floating Ice Sheet |
title_full_unstemmed |
Concentrated Loads on a Floating Ice Sheet |
title_sort |
concentrated loads on a floating ice sheet |
publisher |
Cambridge University Press (CUP) |
publishDate |
1977 |
url |
http://dx.doi.org/10.1017/s0022143000029312 https://www.cambridge.org/core/services/aop-cambridge-core/content/view/S0022143000029312 |
genre |
Ice Sheet Journal of Glaciology |
genre_facet |
Ice Sheet Journal of Glaciology |
op_source |
Journal of Glaciology volume 19, issue 81, page 237-245 ISSN 0022-1430 1727-5652 |
op_doi |
https://doi.org/10.1017/s0022143000029312 |
container_title |
Journal of Glaciology |
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19 |
container_issue |
81 |
container_start_page |
237 |
op_container_end_page |
245 |
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1792500938043293696 |