Longitudinal elastic velocities in MgO to 360 kbar
- Creators
- Meier, Lyle D.
- Ahrens, Thomas J.
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.
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.Attached Files
Published - jgr13787.pdf
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Additional details
- Eprint ID
- 51387
- Resolver ID
- CaltechAUTHORS:20141106-141708778
- DES75-15006
- NSF
- Created
-
2014-11-06Created from EPrint's datestamp field
- Updated
-
2021-11-10Created from EPrint's last_modified field
- Other Numbering System Name
- Caltech Division of Geological and Planetary Sciences
- Other Numbering System Identifier
- 2802