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Rayleigh Waves Generated by a Thermal Source: A Three-Dimensional Transient Thermoelasticity Solution

Georgiadis, H. G. and Lykotrafitis, G. (2005) Rayleigh Waves Generated by a Thermal Source: A Three-Dimensional Transient Thermoelasticity Solution. Journal of Applied Mechanics, 72 (1). pp. 129-138. ISSN 0021-8936. doi:10.1115/1.1825438. https://resolver.caltech.edu/CaltechAUTHORS:20170408-210947500

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Abstract

A three-dimensional transient thermoelastic solution is obtained for Rayleigh-type disturbances propagating on the surface of a half-space. These surface waves are generated by either a buried or surface thermal source, which has the form of a concentrated heat flux applied impulsively. In an effort to model this problem as realistically as possible, the half-space material is taken to respond according to Biot’s fully coupled thermoelasticity. The problem has relevance to situations involving heat generation due to: (i) laser action (impulsive electromagnetic radiation) on a surface target, (ii) underground nuclear activity, and (iii) friction developed during underground fault motions related to seismic activity. The problem was attacked with unilateral and double bilateral Laplace transforms, which suppress, respectively, the time variable and two of the space variables. The Rayleigh wave contribution is obtained as a closed-form expression by utilizing asymptotics, complex-variable theory and certain results for Bessel functions. The dependence of the normal displacement associated with the Rayleigh wave upon the distance from the source epicenter and the distance from the wavefront is also determined.


Item Type:Article
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http://dx.doi.org/10.1115/1.1825438DOIArticle
Additional Information:© 2005 by ASME. Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the Applied Mechanics Division, March 2, 2004; final revision, May 24, 2004. Associate Editor: H. Gao.
Group:GALCIT
Issue or Number:1
DOI:10.1115/1.1825438
Record Number:CaltechAUTHORS:20170408-210947500
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20170408-210947500
Official Citation:Georgiadis HG, Lykotrafitis GG. Rayleigh Waves Generated by a Thermal Source: A Three-Dimensional Transient Thermoelasticity Solution. ASME. J. Appl. Mech. 2005;72(1):129-138. doi:10.1115/1.1825438.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:76399
Collection:CaltechAUTHORS
Deposited By: 1Science Import
Deposited On:02 Apr 2018 18:11
Last Modified:03 Oct 2019 17:00

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