A logarithmic equation of state

The isothermal Eulerian Birch–Murnaghan equation of state is currently used in geophysics, despite its recognized shortcomings for very large compressive strains. We propose an equation of state constructed from the Hencky logarithmic strain, rather than from the Eulerian strain. The logarithmic equ...

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Bibliographic Details
Published in:Physics of the earth and planetary interiors 1998-11, Vol.109 (1), p.1-8
Main Authors: Poirier, J.-P, Tarantola, A
Format: Article
Language:English
Subjects:
Density
Equation of state
Finite strain
Pressure
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Summary:The isothermal Eulerian Birch–Murnaghan equation of state is currently used in geophysics, despite its recognized shortcomings for very large compressive strains. We propose an equation of state constructed from the Hencky logarithmic strain, rather than from the Eulerian strain. The logarithmic equation of state has a simple expression and is valid in a greater range of pressures than the Birch–Murnaghan equation of state.
ISSN:0031-9201
1872-7395
DOI:10.1016/S0031-9201(98)00112-5