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

S P Singh; Jagjivan Ram; Yogendra Kumar; Amar Kumar; Alok Sagar Gautam

doi:10.17485/IJST/v16i12.2507

Article

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

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Indian Journal of Science and Technology

DOI: 10.17485/IJST/v16i12.2507

Year: 2023, Volume: 16, Issue: 12, Pages: 862-871

Original Article

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

S P Singh^1*, Jagjivan Ram², Yogendra Kumar³, Amar Kumar⁴, Alok Sagar Gautam⁵

¹Department of Physics, Dr. B.R. Ambedkar Govt. Degree College, Mainpuri, 205001, India
²Department of Chemistry, Dr. B.R. Ambedkar Govt. Degree College, Mainpuri, 205001, India
³Department of Physics, K. R. (P.G.) College, Mathura, 281001, India
⁴Department of Physics, Govt. P.G. College, Kairana, Shamli, 247774, India
⁵Department of Physics, HNB Garhwal University (A Central University), Garhwal, Srinagar, 246174, India

*Corresponding Author
Email: [email protected]

Received Date:29 December 2022, Accepted Date:22 February 2023, Published Date:25 March 2023

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

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 a2 and b2 (a2,b2 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 Al2O3 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.

Keywords: The Eularian Finite Stain Theory; Equation of State; Prototype Solids; High Pressure

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© 2023 Singh et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited. Published By Indian Society for Education and Environment (iSee)