An anisotropic equation of state for high pressure, high temperature applications

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Authors

Robert Myhill 

Abstract

This paper presents a strategy for consistently extending isotropic equations of state to model anisotropic materials over a wide range of pressures and temperatures under nearly hydrostatic conditions. The method can be applied to materials of arbitrary symmetry. The paper provides expressions for the deformation gradient tensor, the lattice parameters, the isothermal elastic compliance tensor and thermal expansivity tensor. Scalar properties including the Gibbs energy, volume and heat capacities are inherited from the isotropic equation of state. Other physical properties including the isothermal and isentropic stiffness tensors, the Grueneisen tensor and anisotropic seismic velocities can be derived from these properties.

The equation of state is demonstrated using periclase (cubic) and San Carlos olivine (orthorhombic) as examples.

DOI

https://doi.org/10.31223/X5561D

Subjects

Condensed Matter Physics, Geophysics and Seismology, Materials Science and Engineering, Mineral Physics, Physical Sciences and Mathematics, Planetary Geophysics and Seismology, Planetary Mineral Physics

Keywords

Dates

Published: 2021-09-25 05:24

Last Updated: 2021-09-25 08:24

License

CC BY Attribution 4.0 International

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Conflict of interest statement:
None

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