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Application of Isotropic Finite Strain Theory to Ultrasonic and Seismological Data

Sammis, Charles and Anderson, Don and Jordan, Tom (1970) Application of Isotropic Finite Strain Theory to Ultrasonic and Seismological Data. Journal of Geophysical Research, 75 (23). pp. 4478-4480. ISSN 0148-0227. https://resolver.caltech.edu/CaltechAUTHORS:20140423-115610894

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Abstract

The finite strain expressions, originally derived by F. Birch (1938), for the compressional and shear velocities in an isotropic solid under hydrostatic pressure, when rederived to be complete to first order in the strain, are functions of both the second- and third-order elastic constants. The extra terms appearing in the complete first-order theory for the velocities and their pressure derivatives are of the order of the ordinary elastic constants. There is no longer any discrepancy between first-order finite strain theory and ultrasonic and seismic data.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1029/JB075i023p04478DOIArticle
http://onlinelibrary.wiley.com/doi/10.1029/JB075i023p04478/abstractPublisherArticle
Additional Information:© 1970 American Geophysical Union. Received March 2, 1970; revised May 8, 1970. This research was supported by NASA Research grant NGL-05-002-069.
Funders:
Funding AgencyGrant Number
NASANGL-05-002-069
Subject Keywords:Elastic Properties: Theoretical Studies; Seismology: Elastic Waves
Other Numbering System:
Other Numbering System NameOther Numbering System ID
Caltech Division of Geological and Planetary Sciences1724
Issue or Number:23
Record Number:CaltechAUTHORS:20140423-115610894
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20140423-115610894
Official Citation:Sammis, C., D. Anderson, and T. Jordan (1970), Application of isotropic finite strain theory to ultrasonic and seismological data, J. Geophys. Res., 75(23), 4478–4480, doi:10.1029/JB075i023p04478.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:45146
Collection:CaltechAUTHORS
Deposited By: Jason Perez
Deposited On:23 Apr 2014 21:23
Last Modified:03 Oct 2019 06:27

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