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Finite‐strain equation of state for high‐pressure phases
Author(s) -
Jeanloz Raymond
Publication year - 1981
Publication title -
geophysical research letters
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.007
H-Index - 273
eISSN - 1944-8007
pISSN - 0094-8276
DOI - 10.1029/gl008i012p01219
Subject(s) - extrapolation , equation of state , compression (physics) , phase (matter) , diamond anvil cell , finite strain theory , strain (injury) , physics , thermodynamics , materials science , mechanics , mathematics , high pressure , mathematical analysis , finite element method , quantum mechanics , medicine
A linear least‐squares fit of a finite‐strain equation of state to pressure‐density measurements is possible even when the initial density is unknown. This provides an objective extrapolation of data on a high‐pressure phase to zero pressure, and the zero‐pressure density and elastic properties (as well as their uncertainties) can be directly estimated. For typical uncertainties in ultrahigh pressure diamond‐cell experiments, compression data extending over strains of the high‐pressure phase of at least 0.04 and 0.11 (i.e., compression ranges, Δρ/ρ, of at least 12% and 35%) are required in order to constrain, respectively, third‐ and fourth‐order contributions to the equation of state.