A universal equation of state for solids

Vinet, Pascal; Ferrante, John; Smith, J. R.; Rose, James H.

doi:10.1088/0022-3719/19/20/001

Cited by 710 publications

(373 citation statements)

References 25 publications

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“…The predicted isotherm is in very good agreement with the data and is very nearly coincident with the previous SESAME EOS, an EOS obtained from the reduction of the principal Hugoniot. A comparison was also made between the current work and a fit of the Vinet EOS [26] by Chijioke et al [8] and the average difference was found to be less than 1.4%.…”

Section: Resultsmentioning

confidence: 53%

Global equation of state for copper

Peterson

Honnell

Greeff

et al. 2012

AIP Conference Proceedings

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Section: Resultsmentioning

confidence: 53%

Global equation of state for copper

Peterson

Honnell

Greeff

et al. 2012

AIP Conference Proceedings

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“…For this reason, available literature values of shock-induced strength as functions of shock pressure were subtracted from measured Hugoniot stresses of solid metals to obtain the Hugoniot corresponding to a fluid. These fluid Hugoniots were then reduced to the 300 K isotherms using state-of-the-art corrections for the thermal pressure 31 and fitted to a Vinet curve 32 for convenience of interpolation. The Vinet parameters are presented in Table II.…”

Section: Pressure Standardsmentioning

confidence: 99%

The ruby pressure standard to 150GPa

Chijioke

Nellis

Солдатов

et al. 2005

Journal of Applied Physics

249

173

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A determination of the ruby high-pressure scale is presented using all available appropriate measurements including our own. Calibration data extend to 150 GPa. A careful consideration of shock-wave-reduced isotherms is given, including corrections for material strength. The data are fitted to the calibration equation P = ͑A / B͓͒͑ / 0 ͒ B −1͔ ͑GPa͒, with A = 1876± 6.7, B = 10.71± 0.14, and is the peak wavelength of the ruby R1 line.

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“…This model was originally proposed as a scaling relation for the binding energy of metals [39] and has since been found to apply to a wide variety of different chemical interactions. Applications to the hydrostatic equation of state of solids are described in [44,45].…”

Section: Elastically Isotropic Solidmentioning

confidence: 99%

A Conservative Three-Dimensional Eulerian Method for Coupled Solid–Fluid Shock Capturing

Miller

Colella²

2002

Journal of Computational Physics

192

193

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A new method is presented for the explicit Eulerian finite difference computation of shock capturing problems involving multiple resolved material phases in three dimensions. We solve separately for each phase the equations of fluid dynamics or solid mechanics, using as interface boundary conditions artificially extended representations of the individual phases. For fluids we use a new 3D spatially unsplit implementation of the piecewise parabolic (PPM) method of Colella and Woodward. For solids we use the 3D spatially unsplit Eulerian solid mechanics method of Miller and Colella. Vacuum and perfectly incompressible obstacles may also be employed as phases.A separate problem is the time evolution of material interfaces, which are represented by planar segments constructed with a volume-of-fluid method. The volume fractions are advanced in time using a second-order 3D spatially unsplit advection routine with a velocity field determined by solution of interface-normal two-phase Riemann problems. From the Riemann problem solutions we also determine crossinterface momentum and energy fluxes.The volume fractions in mixed cells may be arbitrarily small, which would ordinarily make the Courant-Friedrichs-Lewy time step stability limit arbitrarily small as well. We overcome this limitation using the mass-redistribution formalism to conservatively redistribute generalized mass in the neighborhood of the split cells. 3D EULERIAN SHOCK CAPTURING METHOD 27We present an application of this method to an explosion contained in a metal can: a reactive fluid (approximating PBX 9404) is encased within an elastic-plastic solid (approximating copper) surrounded by vacuum. Our implementation is in parallel, and with adaptive mesh refinement. c 2002 Elsevier Science (USA)

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A universal equation of state for solids

Cited by 710 publications

References 25 publications

Global equation of state for copper

Global equation of state for copper

The ruby pressure standard to 150GPa

A Conservative Three-Dimensional Eulerian Method for Coupled Solid–Fluid Shock Capturing

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