Lamb's problem at its simplest
Open Access
- 8 January 2013
- journal article
- Published by The Royal Society in Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 469 (2149) , 20120462
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.Keywords
This publication has 6 references indexed in Scilit:
- Fundamental Solutions in Elastodynamics2006
- Elementary solutions to Lamb's problem for a point source and their relevance to three-dimensional studies of spontaneous crack propagationBulletin of the Seismological Society of America, 1979
- Some numerical solutions for Lamb's problemBulletin of the Seismological Society of America, 1974
- Dynamical Response of an Elastic Half-Space to Tangential Surface LoadingsJournal of Applied Mechanics, 1960
- THE SEISMIC SURFACE PULSEProceedings of the National Academy of Sciences, 1955
- I. On the propagation of tremors over the surface of an elastic solidPhilosophical Transactions of the Royal Society A, 1904