Shock adiabats of porous metals

Alekseev, Yu. L.; Ratnikov, V. P.; Rybakov, A. P.

doi:10.1007/bf00850698

Cited by 10 publications

(6 citation statements)

References 1 publication

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“…Figure 4 further gives the velocity of sound in continuous matter measured by Al'tshuler et al [39] with an error δ ≈ 5%. Calculated and experimentally obtained [4,[40][41][42] dependences of isentropic expansion of continuous and porous matter are given in Fig. 5 where the mean-square error with respect to the rate of expansion is δ U = = ΔU/U ≤ 6%.…”

Section: Phase Diagrammentioning

confidence: 99%

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Semiempirical Model of Equation of State for Condensed Media

Prut

2005

High Temp

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An approximation of equation of state for matter is treated, which involves the consistent use of interpolation approach with respect to both density and temperature in the entire nonrelativistic region. The cold component is defined under normal conditions by four experimentally obtained parameters, namely, specific volume, bond energy, bulk modulus, and parameter κ = -(∂lnB S /∂lnV) S . The thermal ion component describes the transition from lattice vibrations with free Debye energy as a function of characteristic temperature being introduced, which makes possible the extension of the range of its application from zero temperature to ideal gas. The thermal electron component describes the transition of free electrons from ideal degenerate gas to nondegenerate state. A formula is suggested which enables one to calculate the degree of ionization at arbitrary densities and temperatures. Continuous functions are described which approximate ionization potentials and energies. The phase diagram, shock adiabats for continuous and porous matter, and isentropes are calculated. An analytical approximation of the Debye function is suggested. The results are illustrated by dependences on compression ratio in the range ρ/ρ 0 = 1 to 10 6 . Comparison is made with experimental data.

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Section: Phase Diagrammentioning

confidence: 99%

“…5. Shock adiabats and expansion isentropes[4,[40][41][42]. The curves indicate calculation results, and the points indicate experimental results.…”

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confidence: 99%

Semiempirical Model of Equation of State for Condensed Media

Prut

2005

High Temp

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“…Many porous materi als in the form of powders, ceramics, and foam are widely used to solve fundamental and applied prob lems of the shock compression physics. Therefore, the equations of state of porous materials, as applied to shock wave loading conditions, were derived in many works (see [2][3][4][5][6][7][8][9] and Refs. therein).…”

Section: Introductionmentioning

confidence: 99%

“…They took into account the melting, evaporation, and ion ization of a material matrix [3]; its elastoplastic behav ior [4]; and the presence of air in pores [5,6]. In most works, a porous heterogeneous material is simulated as a homogeneous medium containing additional parameter ᒍ, which is the ratio of the density of a monolithic matrix to the average density of the corre sponding porous material.…”

Section: Introductionmentioning

confidence: 99%

Mathematical simulation of the shock compression of porous molybdenum using a heterogeneous model

2014

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The shock compression of a heterogeneous material is numerically simulated. The physical model used for the simulation is based on a layered model of a porous material and consists of a set of thin matrix plates with a known equation of state that are separated by filler layers also with a known equation of state. The model is intended to calculate the parameters (pressure, temperature, mass velocity) of shock compres sion of the matrix and the filler of heterogeneous materials during their one dimensional shock compression in terms of a developed hydrodynamic code. The adequacy of the proposed model is tested on porous molyb denum during shock wave loading to a pressure of 15-70 GPa and a temperature of 4000 K.

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“…The Hugoniots of tungsten samples with different initial porosity (m). Experimental data: I0-[26], I1-[27], I2-[28], I3-[29], I4-[30], I5-[31], I6-[32], I7-[33].…”

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confidence: 99%

Equation of state for tungsten over a wide range of densities and internal energies

Khishchenko

2015

J. Phys.: Conf. Ser.

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A caloric model, which describes the pressure-density-internal-energy relationship in a broad region of condensed-phase states, is applied for tungsten. As distinct from previously known caloric equations of state for this material, a new form of the cold-compression curve at T = 0 K is used. Thermodynamic characteristics along the cold curve and shock Hugoniots are calculated for the metal and compared with some theoretical results and experimental data available at high energy densities.

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Shock adiabats of porous metals

Cited by 10 publications

References 1 publication

Semiempirical Model of Equation of State for Condensed Media

Semiempirical Model of Equation of State for Condensed Media

Mathematical simulation of the shock compression of porous molybdenum using a heterogeneous model

Equation of state for tungsten over a wide range of densities and internal energies

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