Garvin’s generalized problem revisited
Name
GarvinRevisited Corrigendum.pdf
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433.54 KB
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Author(s)
Kausel, Eduardo A.
Sanchez-Sesma, Francisco J.
Iturraran-Viveros, Ursula
Date Issued
January 2013
Journal
Soil Dynamics and Earthquake Engineering
Publisher
Elsevier
Citation
Sanchez-Sesma, Francisco J., Ursula Iturraran-Viveros, and Eduardo Kausel. “Garvin’s Generalized Problem Revisited.” Soil Dynamics and Earthquake Engineering 47 (April 2013): 4–15. © 2012 Elsevier Ltd.
Version
Author's final manuscript
Abstract
One of the great classical problems in theoretical seismology is Garvin’s problem, which deals with the response of an elastic half-space subjected to a blast line source applied in its interior. However, Garvin (Exact transient solution of the buried line source problem. Proceedings of the Royal Society of London, Series A 1956;528–541[4]) himself provided only the solution for points on the free surface of the half-space. Although a rigorous extension to points in the interior of the half-space was given nearly decade-and-a-half later by Alterman and Loewenthal (Algebraic expressions for the impulsive motion of an elastic half-space. Israel Journal of Technology 1969; 7 (6):495–504[1]), these scientists published their paper in a technical journal of rather restricted circulation, as a result of which their complete solution remained largely unnoticed by the geophysical and soil dynamics communities. This article revisits Garvin’s generalized problem, presents a concise rendition and summary together with a very effective and accurate simplification, and examines the response characteristics for a pair of buried source-receiver location. It also includes a compact and very effective Matlab program for its evaluation.
MIT Department
Massachusetts Institute of Technology. Department of Civil and Environmental Engineering
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Creative Commons Attribution-NonCommercial-NoDerivs License
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DOI of Published Version
https://doi.org/10.1016/j.soildyn.2012.11.006
