Abstract
BIRCH1, using Murnaghan's finite elasticity theory, has shown that, at pressures existing in the earth's interior, the gradient of the incompressibility k, with respect to the pressure p, is a decreasing function of pressure. This communication reproduces the main features of Birch's results but, by starting from a later derivation of Murnaghan, it is found possible to obtain two useful formulæ for the calculation of k and dk/dp at large pressures.
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References
Birch, F., J. Geophys. Res., 57, No. 12, 246 (1952).
Murnaghan, F. D., “Finite Deformation of an Elastic Solid”, 70 (Wiley, 1951).
Bullen, K. E., “An Introduction to the Theory of Seismology”, 220 (Camb. Univ. Press, 1947).
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KEANE, A. Variation of the Incompressibility of an Elastic Material subjected to Large Hydrostatic Pressure. Nature 172, 117–118 (1953). https://doi.org/10.1038/172117a0
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DOI: https://doi.org/10.1038/172117a0
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