By O. Anderson, D. Isaacs
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Chopelas, and D. Isaak, A thermodynamic theory of the Griineisen ratio at extreme conditions: MgO as an example, Phya. Chem. Minemla, 19, 369-380, 1993. , and 0. , SpringerVerlag, New York, 1973. , McGraw-Hill, New York, 1992. D. , UCLA, Los Angeles, November 1992. Duffy, T. , and T. J. Ahrens, Lateral variations in lower mantle seismic velocity, in High Preaaure Research: Application to Earth and Planetary Sciences, edited by Y. Syono and M. H. , in press, 1993. Duffy, T. , and D. L. Anderson, Sound velocities in mantle minerals and the mineralogy of the upper mantle, J.
Ohno, Y. Sumino, I. Suzuki, S. Yamamoto, T. Goto, H. Oda, S. Ota, and H. Cynn. We acknowledge with thanks the works of E. K. Graham, N. Saga, R. Liebermann, H. Spetzler, D. L. Weidner, J. Bass, I. Jackson, and M. Manghnani that affected our research programs. Sung Kim of Azusa Pacific University provided much help in the statistical analysis required to arrive at values for the various dimensionless parameters. The salary of one of us was provided by grants from the LLNL-IGPP branch under the auspices of the Department of Energy under contract W7405-ENG 48.
And G. R. Barsch, Elastic constants of single-crystal forsterite as a function of temperature and pressure, J. Geophya. , 74, 5949-5960, 1969. Graham, E. , J. A. Schwab, S. M. Sopkin, and H. Takei, The pressure and temperature dependence of the elastic properties of single-crystal fayalite FezSiO4, Phya. Chem. , 16, 186-198, 1988. , and S. Shtrikman, On some variational principles in anisotropic and nonhomogeneous elasticity, J. Mech. Phys. Solids, 10, 335-342, 1962a. , and S. Shtrikman, A variational approach to the theory of the elastic behavior of polycrystals, J.