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 TVT, 2015, Volume 53, Issue 3, Pages 367–377 (Mi tvt243)

Thermophysical Properties of Materials

Equation of state for a highly porous material

R. K. Belkheieva

Novosibirsk State University

Abstract: 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 volumes 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 continua 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–Grüneisen 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.

DOI: https://doi.org/10.7868/S0040364415020052

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English version:
High Temperature, 2015, 53:3, 348–357

Bibliographic databases:

UDC: 532.593+536.711

Citation: R. K. Belkheieva, “Equation of state for a highly porous material”, TVT, 53:3 (2015), 367–377; High Temperature, 53:3 (2015), 348–357

Citation in format AMSBIB
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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. S. A. Kinelovskii, K. K. Maevskii, “Modeling shock loading of multicomponent materials including bismuth”, High Temperature, 54:5 (2016), 675–681
2. M. A. Islam, M. A. Kader, P. J. Hazell, J. P. Escobedo-Diaz, A. D. Brown, G. J. Appleby-Thomas, M. Saadatfar, M. Z. Quadir, “Dynamic crushing response of closed-cell aluminium foams during shock loading”, Shock Compression of Condensed Matter - 2015, AIP Conf. Proc., 1793, eds. R. Chau, T. Germann, I. Oleynik, S. Peiris, R. Ravelo, T. Sewell, Amer. Inst. Phys., 2017, UNSP 120027-1
3. P. Bawuah, A.-P. Karttunen, D. Markl, C. Ridgway, O. Korhonen, P. Gane, J. A. Zeitler, J. Ketolainen, K.-E. Peiponen, “Investigating elastic relaxation effects on the optical properties of functionalised calcium carbonate compacts using optics-based heckel analysis”, Int. J. Pharm., 544:1 (2018), 278–284
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