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Longitudinal elastic velocities in MgO to 360 kbar

Meier, Lyle D. and Ahrens, Thomas J. (1977) Longitudinal elastic velocities in MgO to 360 kbar. Journal of Geophysical Research, 82 (17). pp. 2523-2528. ISSN 0148-0227. http://resolver.caltech.edu/CaltechAUTHORS:20141106-141708778

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Abstract

Numerical descriptions of shock wave induced flows obtained with a two-dimensional Lagrangian finite difference code are compared in detail with experimental data obtained via the lateral relaxation method for polycrystalline magnesium oxide (MgO) to a pressure of 360 kbar. The equation of state used for MgO was assumed to be of the Mie-Grüneisen form, and detailed comparison of experimental and calculated data was used to obtain refined values of the shear strength and shear modulus of MgO at high pressures. The best fitting rheological model for MgO was characterized by a shear strength which decreased from a value of 26 kbar at 16.5-kbar mean stress to 13.5 kbar at 360-kbar mean stress along the principal Hugoniot curve. The first and second pressure derivatives of the shear modulus, when the shear modulus is evaluated as a quadratic function of pressure, yield (∂μ/∂P) = 2.44 and μ(∂^2μ/∂P^2) = 1.7±3.0. The uncertainties in the determination of μ(∂^2μ/∂P^2) have been reduced by a factor of 5 over previous estimates.


Item Type:Article
Related URLs:
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http://dx.doi.org/10.1029/JB082i017p02523DOIArticle
http://onlinelibrary.wiley.com/doi/10.1029/JB082i017p02523/abstractPublisherArticle
Additional Information:Copyright 1977 by the American Geophysical Union. (Received August 20, 1976; revised January 17, 1977; accepted January 26, 1977.) Paper number 7B0062. We wish to thank L. D. Bertholf and his colleagues for kindly providing the TOODY-IIA computer code, R. C. Liebermann, M. S. Paterson, H. C. Heard, and D. L. Anderson for helpful comments on the manuscript, and Geoffrey Davies for discussions during the initiation of this work. This work was supported by National Science Foundation grant DES75-15006. Contribution 2802, Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, California 91125.
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NSFDES75-15006
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Caltech Division of Geological and Planetary Sciences2802
Record Number:CaltechAUTHORS:20141106-141708778
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20141106-141708778
Official Citation:Meier, L. D., and T. J. Ahrens (1977), Longitudinal elastic velocities in MgO to 360 KB, J. Geophys. Res., 82(17), 2523–2528, doi:10.1029/JB082i017p02523.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:51387
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:06 Nov 2014 22:43
Last Modified:13 Feb 2019 18:06

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