Lamb’s problem at its simplest
This article revisits the classical problem of horizontal and vertical point loads suddenly applied onto the surface of a homogeneous, elastic half-space, and provides a complete set of exact, explicit formulae which are cast in the most compact format and with the simplest possible structure. The f...
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| Format: | Article |
| Language: | en_US |
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Royal Society
2013
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| Online Access: | http://hdl.handle.net/1721.1/78932 |
| _version_ | 1811090557888364544 |
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| author | Kausel, Eduardo A. |
| author2 | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering |
| author_facet | Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Kausel, Eduardo A. |
| author_sort | Kausel, Eduardo A. |
| collection | MIT |
| description | This article revisits the classical problem of horizontal and vertical point loads suddenly applied onto the surface of a homogeneous, elastic half-space, and provides a complete set of exact, explicit formulae which are cast in the most compact format and with the simplest possible structure. The formulae given are valid for the full range of Poisson's ratios from 0 to 0.5, and they treat real and complex poles alike, as a result of which a single set of formulae suffices and also exact formulae for dipoles can be given. |
| first_indexed | 2024-09-23T14:48:06Z |
| format | Article |
| id | mit-1721.1/78932 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T14:48:06Z |
| publishDate | 2013 |
| publisher | Royal Society |
| record_format | dspace |
| spelling | mit-1721.1/789322022-10-01T22:32:09Z Lamb’s problem at its simplest Kausel, Eduardo A. Massachusetts Institute of Technology. Department of Civil and Environmental Engineering Kausel, Eduardo Kausel, Eduardo A. This article revisits the classical problem of horizontal and vertical point loads suddenly applied onto the surface of a homogeneous, elastic half-space, and provides a complete set of exact, explicit formulae which are cast in the most compact format and with the simplest possible structure. The formulae given are valid for the full range of Poisson's ratios from 0 to 0.5, and they treat real and complex poles alike, as a result of which a single set of formulae suffices and also exact formulae for dipoles can be given. 2013-05-23T18:30:33Z 2013-05-23T18:30:33Z 2012-10 2012-08 Article http://purl.org/eprint/type/ConferencePaper 1364-5021 1471-2946 http://hdl.handle.net/1721.1/78932 Kausel, E. 2012 "Lamb’s Problem at Its Simplest." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469 (2149): 20120462–20120462. en_US http://dx.doi.org/10.1098/rspa.2012.0462 Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/ application/pdf Royal Society Prof. Kausel via Anne Graham |
| spellingShingle | Kausel, Eduardo A. Lamb’s problem at its simplest |
| title | Lamb’s problem at its simplest |
| title_full | Lamb’s problem at its simplest |
| title_fullStr | Lamb’s problem at its simplest |
| title_full_unstemmed | Lamb’s problem at its simplest |
| title_short | Lamb’s problem at its simplest |
| title_sort | lamb s problem at its simplest |
| url | http://hdl.handle.net/1721.1/78932 |
| work_keys_str_mv | AT kauseleduardoa lambsproblematitssimplest |