Attenuation of impact of the reflected shock wave upon an explosion inside a vessel with granular material walls

Баженова, Т. В.; Golub, V. V.; Mirova, O. A.; Kotel’nikov, A. L.; Lenkevich, D. A.

doi:10.1134/s0018151x12030054

Cited by 12 publications

(2 citation statements)

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“…Чтобы получить более полную информацию о поведении материалов при высоких температурах и должным образом описать полученное знание с помощью тепловой составляющей уравнения состояния, исследуют поведение пористых веществ, так как при интенсивных импульсных нагрузках возрастает доля теплового вклада в полное давление и полную энергию вещества. Изучению поведения пористых материалов в ударных волнах посвящено большое количество как экспериментальных [6][7][8][9][10][11][12][13], так и теоретических [14-17] работ. Методы исследования термодинамических свойств веществ и требования, предъявляемые к уравнениям состояния, описаны в [18,19].…”

Section: математическая модель уравнения состоянияunclassified

The Application of the Wide-Range Equation of State to the Behavior of Porous Iron and Iron Containing Mixtures

Belkheeva

2023

MMPh

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This paper considers the behavior of porous iron and iron-copper mixtures within a singlecontinuum thermodynamic equilibrium medium. This model describes the behavior of the medium under the shock-wave loading and the isoentropic unloading of solid and porous iron and iron-containing mixture samples using only the parameters of the equation of state and mass concentrations of the components. The comparison of the calculated results with experimental data suggests the effectiveness of the proposed equation for modeling.

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Section: математическая модель уравнения состоянияunclassified

The Application of the Wide-Range Equation of State to the Behavior of Porous Iron and Iron Containing Mixtures

Belkheeva

2023

MMPh

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“…In [11], a model of this kind is noted as an advanced one for multicomponent mixture compositions. A large numbers of both experimental [17][18][19][20][21][22][23][24] and theoretical [25][26][27][28] works are devoted to studying the behavior of porous materials exposed to shock waves. where = is the elastic pressure constit uent described by an equation of the Tait's equation type; is the thermal pressure constituent; ρ is the matter density; ρ 0 is the parameter of equation of state (in the case of condensed matter, it is its density under normal conditions); A, n are the constants char acterizing the matter; γ is the Grüneisen factor; E T is the thermal energy.…”

Section: Introductionmentioning

confidence: 99%

Equation of state for a highly porous material

Bel’kheeva

2015

High Temp

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An equation of state for describing a highly porous material is proposed. The porous medium is considered as a simple thermodynamically equilibrium mixture for which the hypothesis of additivity of vol umes of its components holds true. The equilibrium state is determined by conditions of equality of pressures, temperatures, and velocities of the mixture components. A model of interpenetrating and interacting con tinua is used for the mixture description. The gas available in pores is taken into account in the model. The equations of state of both solid and gaseous components are presented equally (in the form of the Mie-Grü neisen equation with the density dependent Grüneisen factor). By means of presenting functions as Taylor series, relations are deduced that allow the parameters of the equation of state for a porous material to be expressed through the appropriate parameters and mass fractions of the components. Numerical calculations of shock wave loading of porous copper, nickel, iron, and tungsten-nickel-copper mixtures are performed. The derived equation of state is shown to describe quite exactly the behavior of highly porous materials when shock waves propagate in them.

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