Geodesic
On the mechanism of pressure increase with increasing porosity of the media compressed in conical and cylindrical targets
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2195-2207 
V. V. Milyavskii; V. E. Fortov; A. A. Frolova; K. V. Khishchenko; A. A. Charakhch'yan; L. V. Shurshalov. On the mechanism of pressure increase with increasing porosity of the media compressed in conical and cylindrical targets. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 12, pp. 2195-2207. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_12_a9/
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     title = {On the mechanism of pressure increase with increasing porosity of the media compressed in conical and cylindrical targets},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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Voir la notice de l'article provenant de la source Math-Net.Ru

The effect of porosity on the solution of the problem on a shock wave entering a porous medium is studied. The dependence of the wave parameters appearing under shock compression of porous graphite, aluminum, and polytetrafluoroethylene in a steel target with a cavity in the shape of a truncated cone on the relative initial density is investigated. For a steel target with a cylindrical cavity filled with graphite, the effect of increasing the peak pressure on the symmetry axis in the case when the solid graphite is replaced with porous one is investigated.

[1] Dorodnitsyn A. A., Izbrannye nauchnye trudy, v. 1, 2, VTs RAN, M., 1997

[2] Charakhchyan A. A., Lomonosov I. V., Milyavskii V. V. i dr., “O skhodyaschikhsya udarnykh volnakh v poristykh sredakh”, Pisma v ZhTF, 30:1 (2004), 72–77

[3] Charakhchyan A. A., Khischenko K. V., Milyavskii V. V. i dr., “Chislennoe issledovanie skhodyaschikhsya udarnykh voln v poristykh sredakh”, Zh. tekhn. fiz., 75:8 (2005), 15–25

[4] Milyavskii V. V., Fortov V. E., Frolova A. A. i dr., “Raschet udarnogo szhatiya poristykh sred v konicheskikh tverdotelnykh mishenyakh s vykhodnym otverstiem”, Zh. vychisl. matem. i matem. fiz., 46:5 (2006), 913–931 | MR

[5] Khischenko K. V., Charakhchyan A. A., Milyavskii V. V. i dr., “Ob usilenii skhodyaschikhsya udarnykh voln v poristykh sredakh”, Khim. fiz., 26:12 (2007), 46–56

[6] Zeldovich Ya. B., Raizer Yu. P., Fizika udarnykh voln i vysokotemperaturnykh gidrodinamicheskikh yavlenii, Nauka, M., 1966

[7] Setchell R. E., Storm E., Sturtevant B., “An investigation of shock strengthening in a conical convergent channel”, J. Fluid. Mech., 56:3 (1972), 505–522 | DOI | Zbl

[8] Belokon V. A., Petrukhin A. I., Proskuryakov V. A., “Vkhozhdenie silnoi udarnoi volny v klinovidnuyu polost”, Zh. eksperim. i teor. fiz., 48:1 (1965), 50–60

[9] Bushman A. V., Fortov V. E., Kanel G. I., Ni A. L., Intense dynamic loading of condensed matter, Taylor Francis, Washington, 1993

[10] Fortov V. E., Khishchenko K. V., Levashov P. R., Lomonosov I. V., “Wide-range multi-phase equations of state for metals”, Nucl. Instr. Meth. Phys. Res. A, 415 (1998), 604–608 | DOI

[11] Khishchenko K. V., Fortov V. E., Lomonosov I. V. et al., “Shock compression, adiabatic expansion and multi-phase equation of state of carbon”, Shock Compression of Condensed Matter (2001), AIP, New York, 2002, 759–762

[12] Khishchenko K. V., Fortov V. E., Lomonosov I. V., “Multi-phase equation of state for carbon over wide range of temperatures and pressures”, Internat. J. Thermophys., 26:2 (2005), 479–491 | DOI

[13] Kshishchenko K. V., Lomonosov I. V., Fortov V. E., “Equations of state for polymethylmethacrylate and polytetrafluoroethylene in a wide range of densities and temperatures”, High Temph.-High Press., 30 (1998), 373–378 | DOI

[14] Charakhch'yan A. A., Khishchenko K. V., Fortov V. E. et al., “Peak pressure in a conical target versus initial density of some porous condensed media: numerical study”, Phys. Extreme States of Matter (2009), IPCH RAS, Chernogolovka, 2009, 112–114

[15] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii, Nauka, M., 1978 | MR

[16] Uilkins M. L., “Raschet uprugo-plasticheskikh techenii”, Vychisl. metody v gidrodinamike, Mir, M., 1967, 212–263

[17] Kulikovskii A. G., Pogorelov N. V., Semenov A. Yu., Matematicheskie voprosy chislennogo resheniya giperbolicheskikh sistem uravnenii, Fizmatlit, M., 2001 | MR

[18] Lomonosov I. V., Fortov V. E., Frolova A. A. i dr., “Ob odnom vozmozhnom podkhode i polucheniyu iskusstvennykh almazov”, Dokl. RAN, 360:2 (1998), 199–201

[19] Charakhchyan A. A., “Nepreryvnye volny szhatiya v dvumernoi zadache o raspade razryva”, Zh. vychisl. matem. matem. fiz., 49:10 (2009), 1853–1859