Generalized shock hugoniot of condensed substances

Afanasenkov, A. N.; Bogomolov, V. M.; Voskoboinikov, I. M.

doi:10.1007/bf00916231

Cited by 9 publications

(7 citation statements)

References 8 publications

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“…The convenience of expressions (3) is that they contain the coefficients Co and A entering into linear relation (1) between the wave and mass velocities. The latter are presented in tables for a large number of materials [6,7], or can be calculated following the rules in [8,9]. The shock adiabat of ice-VII is obtained by processing of the experimental results of [10] on the isothermal compressibility of ice VII (T = 298 K and P = 3-8 GPa).…”

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confidence: 99%

Phase transformation of water under shock compression

Rybakov¹

1996

J Appl Mech Tech Phys

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The authors of [1][2][3] established that there is transformation of water into a solid phase (ice VII) under shock compression. It was shown that the shock adiabat of water splits into three separate parts (Figs. 1 and 2). In particular, in the coordinates wave velocity D vs. mass velocity u, these parts are rectilinear sections ( Fig. 1) with their values of the coefficients Co and X in the equation(1) The lower 1 and upper 3 sections are interpreted as corresponding to the liquid phase, and the intermediate 2 as corresponding to a mixture of the liquid phase and ice VII. To estimate temperatures two types of equation of state are used: the Mie--Gruneisen equation and the Zamyshlyayev-Menzhulin interpolation equation [4]. In the Mie--Gruneisen equationthe following expressions derived in [5] are used for the cold constituent of both the pressure Pc and the internal energy EcHere P is the pressure; E is the internal energy; T is the temperature; Cv is the specific heat; F is the Gruneisen parameter; p is the density; Ap = p -P0; the subscript 0 refers to the initial state under normal conditions; subscript c to cold constituents, and T to thermal constituents. The convenience of expressions (3) is that they contain the coefficients Co and A entering into linear relation (1) between the wave and mass velocities. The latter are presented in tables for a large number of materials [6,7], or can be calculated following the rules in [8,9]. The shock adiabat of ice-VII is obtained by processing of the experimental results of [10] on the isothermal compressibility of ice VII (T = 298 K and P = 3-8 GPa). The data of [10] are described by the Mie--Gruneisen equation with the cold constituent in the form of (3). As a result, the coefficients in linear relation (1) between the kinematic parameters of ice VII were evaluated as C0vll = 3.067 km/sec and A = 1.968, and the initial density of ice VII P0vII = 1.5198 9 10 a kg/m 3. It should be noted that this value is close to the density of ice VII p = 1.5-103 kg/m 3 given by Eisenberg and Kauzman [11] without specifying other parameters of state. Olinger and Halleck [10] obtained the value V0 = 1/po = (0.696-0.731)-10 -3 ma/kg and called it the ambient specific volume.Further the mass fractions of the components (Fig. 3) are evaluated from known shock adiabats of both the mixture at section 2 and its components using the rule of additivity proved experimentally in [12,13]. It is found that the shock adiabat of water in the temperature-pressure plane intersects twice the curve of liquid-ice VII phase equilibrium and is in the region of ice VII in the pressure range from 2.86 to 10.1 GPa. In this region the mass portion of ice VII increases from 0.8 at the lowest point to 27% at the highest point. The existence of a solid phase in shock-compressed water in the above pressure range was substantiated in [1][2][3] by the known data of other authors who studied properties of shock-compressed water such as viscosity [14], compressibility [15], and freezing [16].'However, the details o...

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Phase transformation of water under shock compression

Rybakov¹

1996

J Appl Mech Tech Phys

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“…More complex models of porous materials, such as the P -α model capture the effect of porosity for weak shocks much more accurately [27][28][29][30] .…”

Section: Porosity Modelmentioning

confidence: 99%

A complete equation of state for non-ideal condensed phase explosives

Wilkinson

Braithwaite

Nikiforakis

et al. 2017

Journal of Applied Physics

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The objective of this work is to improve the robustness and accuracy of numerical simulations of both ideal and non-ideal explosives by introducing temperature dependence in mechanical equations of state for reactants and products.To this end, we modify existing mechanical equations of state to appropriately approximate the temperature in the reaction zone. Mechanical equations of state of Mie-Grüneisen form are developed with extensions, which allow the temperature to be evaluated appropriately, and the temperature equilibrium condition to be applied robustly. Furthermore the snow plow model is used to capture the effect of porosity on the reactants equation of state.We apply the methodology to predict the velocity of compliantly confined detonation waves. Once reaction rates are calibrated for unconfined detonation velocities, simulations of confined rate sticks and slabs are performed, and the experimental detonation velocities are matched without further parameter alteration, demonstrating the predictive capability of our simulations. We apply the same methodology to both ideal (PBX9502, a high explosive with principal ingredient TATB) and non-ideal (EM120D, an ANE or ammonium nitrate based emulsion) explosives.

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“…The shock Hugoniots of diamond powders were calculated under the assumption that the powder is a mixture of a monolithic solid and air in the pores which are not in thermal equilibrium [11]. For this model, the mass velocity in the powder u p is given by the expression [11] …”

Section: Dependences P(u)mentioning

confidence: 99%

Shock-induced melting of diamond powders

Даниленко¹

2009

Combust Explos Shock Waves

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Conditions of shock-induced melting of diamond powders are considered. For powders of various porosities, shock Hugoniots in the coordinates (p, u) and (p, T ) and the pressures at the beginning and end of equilibrium melting are calculated. Thermal nonequilibrium of the shock compression of the powders is analyzed. Pressures at the onset of melting near pores are calculated. Shock-induced melting of detonation nanodiamond powders is considered. Calculation results show that explosion-induced melting of diamond powders is possible only under energy cumulation conditions.

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Generalized shock hugoniot of condensed substances

Cited by 9 publications

References 8 publications

Phase transformation of water under shock compression

Phase transformation of water under shock compression

A complete equation of state for non-ideal condensed phase explosives

Shock-induced melting of diamond powders

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