Numerical implementation of the integral-transform solution to Lamb's point-load problem
type: Item
instance of: scholarly article
title: Numerical implementation of the integral-transform solution to Lamb's point-load problem
zbMATH Open document ID: 0981.74079
author: H. G. Georgiadis
author: D. Vamvatsikos
author: Ioannis Vardoulakis
published in: Computational Mechanics
publication date: 2002-03-21T00:00:00Z
review text: The Lamb's point-load problem considers the wave generated at the surface of an elastic half-space by the application of concentrated load at the surface or inside the half-space. The known analytical solution of this problem is expressed through complicated mathematical formulas (e.g. integrals of rapidly oscillatory functions over semi-infinite intervals, and inversion of one-sided (time) Laplace transforms). These features makes a conventional numerical solution difficult to perform. This paper presents a new numerical solution done by a variety of numerical techniques. The presentation is clear and detailed; the results obtained are shown in 14 figures.
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74J15
Mathematics Subject Classification ID: 74H15
Mathematics Subject Classification ID: 74B05
zbMATH DE Number: 1420476
zbMATH Keywords: integral-transform solution
zbMATH Keywords: surface wave
zbMATH Keywords: Lamb's point-load problem
zbMATH Keywords: elastic half-space
zbMATH Keywords: concentrated load
reviewed by: Søren Christiansen
MaRDI profile type: Publication
full work available at URL: s004660050441
OpenAlex ID: W2127103741
DOI: 10.1007/S004660050441
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description: scientific article; zbMATH DE number 1420476