High-pressure high-temperature equations of state of shocked bcc vanadium

Молодец, А. М.; Голышев, А. А.; Shakhray, D. V.

doi:10.1088/1742-6596/774/1/012008

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2019

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“…There are several experimental, theoretical and numerical approaches to determine EOSs for solids [1,2,3,4,5,6,7,8,9]. Among the best-known models, we can be mentioned the ones of Birch-Murnaghan [10], Rose-Vinet [11,12] and Mie-Grünesisen [13,14].…”

Section: Introductionmentioning

confidence: 99%

A new thermodynamic model for solid metals under elastic deformations

Bertoldi

2019

Continuum Mech. Thermodyn.

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We present a theoretical model of the free Helmholtz energy (F ) for solid metals that incorporates three contributions: the elastic part through a local strain description, the vibrational energy within a quasi-harmonic Einstein model with volume-dependent cohesive energy, and the electronic contribution in the free electron gas setting. To get F , we introduce discrete approximations of the Helmholtz energy defined in cubic lattices and show their convergence to F by finite element methods.For homogeneous deformations, the obtained model is applied to derive an equation of state (EOS) which shows a very good agreement with experimental data. Moreover, by comparing with other known theoretical EOSs, the present model is highly stable under different estimations of its parameters.

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Section: Introductionmentioning

confidence: 99%

A new thermodynamic model for solid metals under elastic deformations

Bertoldi

2019

Continuum Mech. Thermodyn.

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show abstract

High-pressure high-temperature equations of state of shocked bcc vanadium

Cited by 1 publication

References 8 publications

A new thermodynamic model for solid metals under elastic deformations

A new thermodynamic model for solid metals under elastic deformations

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