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Lamb’s problem at its simplest

Author(s)
Kausel, Eduardo A.
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DownloadLamb's problem Part 1 and 2.pdf (408.3Kb)
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Creative Commons Attribution-Noncommercial-Share Alike 3.0 http://creativecommons.org/licenses/by-nc-sa/3.0/
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Abstract
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.
Date issued
2012-10
URI
http://hdl.handle.net/1721.1/78932
Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Journal
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences
Publisher
Royal Society
Citation
Kausel, E. 2012 "Lamb’s Problem at Its Simplest." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 469 (2149): 20120462–20120462.
Version: Author's final manuscript
ISSN
1364-5021
1471-2946

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