# Finite strain theories and comparisons with seismological data

@article{Stacey1981FiniteST, title={Finite strain theories and comparisons with seismological data}, author={Frank D. Stacey and B. J. Brennan and R. D. Irvine}, journal={Geophysical surveys}, year={1981}, volume={4}, pages={189-232} }

All the finite strain equations that we are aware of that are worth considering in connection with the interior of the Earth are given, with the assumptions on which they are based and corresponding relationships for incompressibility and its pressure derivatives in terms of density. In several cases, equations which have been presented as new or independent are shown to be particular examples of more general equations that are already familiar. Relationships for deriving finite strain…

## 155 Citations

### High pressure equations of state and planetary interiors

- Geology, Physics
- 2005

Developments in the theory of strong compression of solids in the last decade, especially some results based on thermodynamic principles, have not yet been digested by the geophysics and high…

### Equations-of-state for close-packed materials at high pressures: geophysical evidence

- Geology
- 1999

The Earth's lower mantle and outer core are identified by seismology as regions that are homogeneous in composition and mineral structure over wide pressure ranges. Variations with pressure, P, of…

### High‐temperature elastic constant data on minerals relevant to geophysics

- Geology
- 1992

The high-temperature measurements of elastic constants and related temperature derivatives of nine minerals of interest to geophysical and geochemical theories of the Earth's interior are reviewed…

### Extension of finite-strain equations of state to ultra-high pressure

- PhysicsPhysics Letters A
- 2021

## References

SHOWING 1-10 OF 51 REFERENCES

### Elasticity and Constitution of the Earth's Interior

- Geology
- 1952

The observed variation of the seismic velocities with depth, below the crust, is examined with reference to the variation to be expected in a homogeneous medium. A general equation is derived for the…

### Evidence supporting the approximation γρ = const for the Grüneisen parameter of the Earth's lower mantle

- Geology
- 1979

There has been no uniform acceptance of one theoretical formulation of the Gruneisen parameter formula over another. The application of a Gruneisen function to the earth's interior for temperature…

### The hildebrand equation of state for minerals relevant to geophysics

- Geology
- 1979

The Hildebrand thermal equation of state (EOS) is revived and applied to minerals appropriate to the earth's interior. The chief virtue of this EOS is that it escapes the necessity of evaluating a…

### Applications of thermodynamics to fundamental earth physics

- Geology
- 1977

New fundamental thermodynamic relationships of complete generality and absolute rigour of derivation are not to be expected, because the subject has such a secure and complete basis in classical…

### A thermodynamically based equation of state for the lower mantle

- Geology
- 1979

An observation by O. L. Anderson that for close-packed minerals, (∂KT/∂T)V = 0, approximately, implies without further assumption the Birch relationship (αKT)T = const, to a similar approximation. At…

### Application of isotropic finite strain theory to ultrasonic and seismological data

- Geology
- 1970

The finite strain expressions, originally derived by F. Birch (1938), for the compressional and shear velocities in an isotropic solid under hydrostatic pressure, when rederived to be complete to…