Lamb’s problem at its simplest
Name
Lamb's problem Part 1 and 2.pdf
Size
408.31 KB
Format
Adobe PDF
Checksum (MD5)
d7e3010933ba4d3b1b5de73c61dfcf9d
Author(s)
Kausel, Eduardo A.
Date Issued
October 2012
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
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.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
Terms of Use
Creative Commons Attribution-Noncommercial-Share Alike 3.0
Persistent DSpace Link
DOI of Published Version
https://doi.org/10.1098/rspa.2012.0462