Comparison of methods for calculating the shock hugoniot of mixtures

Petel, Oren E.; Jetté, François‐Xavier

doi:10.1007/s00193-009-0230-x

Cited by 41 publications

(14 citation statements)

References 17 publications

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“…Second, the Hugoniots of solid diopside to 179 GPa [single crystal data of Svendsen and Ahrens , 1983] and solid anorthite to 100 GPa [polycrystalline anorthosite data of Mcqueen et al , 1967] each define linear high‐pressure phase regimes. The Hugoniot of mixtures by kinetic‐energy averaging theory of Batsanov [1994] has been found to be accurate to <1% (even for such disparate materials as tungsten and paraffin [ Petel and Jette , 2010]); this model predicts the particle velocity of solid Di 64 An 36 at P = 133.45 GPa to be u p = 4.322 km s −1 , whereas the observed result in Shot 368 is u p = 4.211 ± 0.016 km s −1 . The difference of over six standard deviations is highly significant and tends to exclude the hypothesis that the shock state in 368 is a solid aggregate of anorthite and diopside.…”

Section: Resultsmentioning

confidence: 99%

Shock compression of liquid silicates to 125 GPa: The anorthite‐diopside join

Asimow¹,

Ahrens²

2010

J. Geophys. Res.

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[1] We determined the equation of state (EOS) of three silicate liquid compositions by shock compression of preheated samples up to 127 GPa. Diopside (Di; Ca 2 Mg 2 SiO 6 ) at 1773 K, anorthite (An; CaAl 2 Si 2 O 8 ) at 1923 K and the eutectic composition Di 64 An 36 at 1673 K were previously studied by shock compression to 38 GPa. The new data extend the EOS of each composition nearly to the Earth's core-mantle boundary. The previously reported anomaly at 25 GPa for Di 64 An 36 eutectic was not reproduced; rather all data for this composition fit within error a straight line Hugoniot in particle velocity vs. shock velocity. Di also displays a linear Hugoniot consistent with ultrasonic data and a third-order finite strain EOS. The full anorthite data set is complex; we examine a model with a transition between two structural states and a fourth-order finite strain model excluding two points that may not display relaxed behavior. We also report an experiment on room-temperature solid Di 64 An 36 aggregate that clearly demonstrates increase upon compression of the Grüneisen parameter of this liquid, much as experiment and theory have shown for forsterite and enstatite liquids. We construct isentropes and isotherms from our Hugoniots using Mie-Grüneisen thermal pressure and evaluate the model of ideal mixing of volumes. Volume may mix almost linearly at high temperature, but deviates strongly when calculated along an isotherm; it remains difficult to reach a firm conclusion. We compare the densities of liquids to lower mantle solids. Our results suggest that basaltic liquids rich in CaO and Al 2 O 3 are notably denser than liquids in the MgO-SiO 2 binary and, subject to uncertainties in the behavior of FeO and in corrections for thermal pressure, such liquids may be the most likely candidates for achieving negative buoyancy in the lowermost mantle.Citation: Asimow, P. D., and T. J. Ahrens (2010), Shock compression of liquid silicates to 125 GPa: The anorthite-diopside join,

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Section: Resultsmentioning

confidence: 99%

Shock compression of liquid silicates to 125 GPa: The anorthite‐diopside join

Asimow¹,

Ahrens²

2010

J. Geophys. Res.

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“…The experimental data [8] for aluminum nitride AlN (initial density 3.23 g/cm 3 ) and the data [9] for silicon nitride Si3N4 (initial density 3.44 g/cm 3 ) are used in the calculations of the shock wave loading of these materials with the phase transition.…”

Section: áBra Lökéshullám Adiabata Vonalak Kvarc-volfrám Keverékre (1mentioning

confidence: 99%

“…3. Shock adiabats of silicon nitride (1) and nitride of aluminum (2) The results for the mixture of AlN and Si3N4 with equal volume fractions and initial density 3.335 g/cm 3 are shown in Fig. 3.b.…”

Section: áBra Lökéshullám Adiabata Vonalak Kvarc-volfrám Keverékre (1mentioning

confidence: 99%

“…On the other hand, many materials with unique properties are also experiencing a phase transition, which further stimulates interest in such research. There are different methods for modeling the thermodynamic parameters of shock-wave loading of mixtures [3], which, however, does not describe the data obtained on the basis of the experiment in the whole range of parameters, in contrast to the model TEC [4].…”

Section: Introductionmentioning

confidence: 99%

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Thermodynamic parameters of mixtures with allowance for phase transition components under shock-wave loading

Кинеловский¹,

Maevskii²

2017

Epitoanyag - JSBCM

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the shock-wave synthesis and compaction using powder mixtures are the one of perspective directions of new materials creation. the results of numerical experiments on modeling of shock wave loading of mixtures with allowance for phase transition components in their composition are presented. the significant change in volume in the region of phase transition components included in the mixtures allows us to expand the range of variation of thermodynamic parameters of the mixtures under shock wave loading. the calculation model is based on the assumption that all components of mixture under shock-wave loading are in thermodynamic equilibrium (model tec). the model tec allows us to describe the region of the polymorphic phase transition, considering the material in the region of phase transition as a mixture of low-pressure phase and high-pressure phase. the good agreement of these model calculations with the data of different authors defined on the basis of experiments is obtained. thermodynamic parameters of the nitrides mixture, solid and porous mixtures with quartz as component were reliably described. this model is useful for determining the compositions and volume fractions of the components of the mixture to obtain the specified parameters of solid and porous materials under shock-wave loading.

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“…[22,23], and the mixture method recommended by Ref. [24], assuming zero porosity (i.e., 100 % TMD). The porous Hugoniot was then obtained using the method in Ref.…”

Section: Quantification Of Shock Loadingmentioning

confidence: 99%

On the Relationship between Shock and Thermal Initiating Conditions for Various Reactive Powder Mixtures

Jetté

Goroshin

Frost

et al. 2012

Propellants Explo Pyrotec

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The critical conditions for initiation of reaction by shock loading in various compositions that produce little or no gas upon reaction were investigated. Shock recovery experiments using Mn+S were first carried out in two different apparatus geometries and for two different initial sample densities. In one geometry, the sample was subjected to a planar shock followed by interactions with the confining walls. In the other geometry, a curved shock free of wall interactions was delivered to the sample. The low‐density (55 % TMD) Mn+S was found to be significantly more sensitive to the curved shock than to the planar shock with wall interactions. For high‐density (90 % TMD) Mn+S samples however, shock sensitivity was the same in both apparatuses. Next, the reaction onset temperature and the critical initiating shock pressure were determined for a number of powder mixtures using DTA and shock recovery (in the geometry producing planar shocks with interactions with the confinement walls), respectively. For the majority of the mixtures tested, the minimum shock energy required to cause the entire sample mixture to react was found to be much less than the enthalpy of the sample at its reaction onset temperature, with no significant correlation between these two parameters. The process of arrested ball‐milling, which results in a reduction of the reaction onset temperature of a mixture, may lead to an increase in shock sensitivity. Additionally, thermal sensitivity in the particular mixtures considered was not increased when they were first shock‐compacted by sub‐critical shocks.

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Comparison of methods for calculating the shock hugoniot of mixtures

Cited by 41 publications

References 17 publications

Shock compression of liquid silicates to 125 GPa: The anorthite‐diopside join

Shock compression of liquid silicates to 125 GPa: The anorthite‐diopside join

Thermodynamic parameters of mixtures with allowance for phase transition components under shock-wave loading

On the Relationship between Shock and Thermal Initiating Conditions for Various Reactive Powder Mixtures

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