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

Tomaschitz, Roman

doi:10.1016/j.physleta.2021.127185

Cited by 6 publications

(1 citation statement)

References 43 publications

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“…Basic EOSs can be categorized into three categories: (a) Based on the solid mechanics' definition of finite strain, such as Birch-Murnaghan, Thomsen and Ullman-Pan'kov (1) (b) assumptionbased relationships among the variables in EOS, such as Murnaghan, Keane, Brennam-Stacey and Barton-Stacey (2) (c) based on interatomic potentials, such as Bardeen, Libbyhttps://www.indjst.org/ Libby, Born-Mie and Born-Mayer (1,3) . In the past decades, a number of researchers have studied various forms of the equation of state at high pressures and temperatures (1,(3)(4)(5)(6)(7)(8) . It is a subject of interest in basic and applied sciences to derive equations of state (EOS) from both of theoretical and experimental aspects.…”

Section: Introductionmentioning

confidence: 99%

A New Formulation of Generalized Equation of State (GEOS) based on Finite Strain Theory and Comparison with other Equations of State (EOSs)

Singh¹,

Ram²,

Kumar³

et al. 2023

IJST

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Objective: To formulate the equation of state as well as their isothermal bulk modulus using the basic laws of thermodynamics and Identities. Method: This study has considered a relation of Eulerian finite strain having two arbitrary parameters a ∈ and b ∈ (a ∈ ,b ∈ ≤ 1). The salient feature of this equation of state is that by substituting the values of parameters, the expressions for the prominent equations of state and their bulk modulus can be obtained. Findings : Four prototype solids viz. MgO, CaO, NaCl, and Al 2 O 3 have been applied to the equation of state to test its validity and applicability. The results were compared with experimental data and other equations of state. Consequently, the proposed equation of state exhibits the same trend as prominent equations of state and provides better results. It corresponds well with the experimental curve at high pressure. Novelty: The GEOS can be used in the future for planning high-pressure experiments on the compression behavior of several materials, minerals, and solids.

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