The main Hugoniots of 10 metals
Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 27-42.

Voir la notice de l'article provenant de la source Math-Net.Ru

The main Hugoniots were constructed for 10 metals (Al, Ti, Fe, Ni, Cu, Mo, Cd, Та, Pb, U) on the base of theoretical and experimental data up to $P\sim10$ Gbars. The Hugoniots $D(u)$ are approximated with simple formulae. The record accuracy 0.1–0.2% achieved for Cu, Fe and Al make them the shock-wave standards. Electron shells reconstruction for Ti and Та was observed clearly at $P>1$ Mbar. The traditional treatment of experiments for Al occured unrelieble, so previous Al can't be a good standard.
@article{MM_2002_14_10_a2,
     author = {N. N. Kalitkin and L. V. Kuzmina and A. I. Funtikov},
     title = {The main {Hugoniots} of 10 metals},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {27--42},
     publisher = {mathdoc},
     volume = {14},
     number = {10},
     year = {2002},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2002_14_10_a2/}
}
TY  - JOUR
AU  - N. N. Kalitkin
AU  - L. V. Kuzmina
AU  - A. I. Funtikov
TI  - The main Hugoniots of 10 metals
JO  - Matematičeskoe modelirovanie
PY  - 2002
SP  - 27
EP  - 42
VL  - 14
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MM_2002_14_10_a2/
LA  - ru
ID  - MM_2002_14_10_a2
ER  - 
%0 Journal Article
%A N. N. Kalitkin
%A L. V. Kuzmina
%A A. I. Funtikov
%T The main Hugoniots of 10 metals
%J Matematičeskoe modelirovanie
%D 2002
%P 27-42
%V 14
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MM_2002_14_10_a2/
%G ru
%F MM_2002_14_10_a2
N. N. Kalitkin; L. V. Kuzmina; A. I. Funtikov. The main Hugoniots of 10 metals. Matematičeskoe modelirovanie, Tome 14 (2002) no. 10, pp. 27-42. http://geodesic.mathdoc.fr/item/MM_2002_14_10_a2/

[1] N. March, V. Kon, P. Kashishta i dr., Teoriya neodnorodnogo elektronnogo gaza, Mir, M., 1987

[2] A. F. Nikiforov, V. G. Novikov, V. B. Uvarov, “Modifitsirovannaya model Khartri–Foka–Sletera i ee primenenie dlya polucheniya uravnenii sostoyaniya veschestva v oblasti vysokikh temperatur”, Matematicheskoe modelirovanie; fiziko-khimicheskie svoistva veschestva, eds. A. A. Samarskii, N. N. Kalitkin, Nauka, M., 1989, 162–196

[3] G. V. Sinko, “Ispolzovanie metoda samosoglasovannogo polya dlya rascheta termodinamicheskikh funktsii elektronov v prostykh veschestvakh”, Teplofizika vysokikh temperatur, 21:6 (1983), 1041–1052

[4] N. N. Kalitkin, “Modeli veschestva v ekstremalnom sostoyanii”, Matematicheskoe modelirovanie; fiziko-khimicheskie svoistva veschestva, eds. A. A. Samarskii, N. N. Kalitkin, Nauka, M., 1989, 114–161

[5] N. N. Kalitkin, “Kvazizonnoe uravnenie sostoyaniya”, Matem. modelirovanie, 1:2 (1989), 64–108 | MR | Zbl

[6] N. M. Kuznetsov, Termodinamicheskie funktsii i udarnye adiabaty vozdukha pri vysokikh temperaturakh, Mashinostroenie, M., 1965

[7] A. A. Likalter, “Vzaimodeistvie atomov s elektronami i ionami v plazme”, ZhETF, 56:1 (1969), 240–245

[8] V. P. Kopyshev, “Ob uravnenii sostoyaniya plazmy”, Voprosy atomnoi nauki i tekhniki; teoreticheskaya i prikladnaya fizika, 1989, no. 4, 3–10

[9] V. S. Volokitin, I. O. Golosnoi, N. N. Kalitkin, “Shirokodiapazonnoe uravnenie sostoyaniya veschestva. I. Analiz modelei neidealnosti”, Izvestiya vuzov, fizika, 1994, no. 11, 23–43; “II. Микрополевая модель”, Известия вузов, физика, 1995, No 4, 11–31

[10] N. N. Kalitkin, L. V. Kuzmina, “Kvantovo-statisticheskie udarnye adiabaty poristykh veschestv”, Matem. modelirovanie, 10:7 (1998), 111–123

[11] M. van Thiel (ed.), Compendium of shock wave data, Univ. Calif. Press, Livermore, 1977

[12] S. P. Marsh, LASL shock Hugoniot data, Univ. Calif. Press, Berkley, 1980

[13] R. F. Trunin (red.), Svoistva kondensirovannykh veschestv pri vysokikh davleniyakh i temperaturakh, Arzamas-16, 1992

[14] R. F. Trunin, “Udarnaya szhimaemost kondensirovannykh veschestv v moschnykh udarnykh volnakh podzemnykh yadernykh vzryvov”, UFN, 164:11 (1994), 1215–1237 | DOI

[15] E. N. Avrorin, B. K. Vodolaga, N. P. Voloshin i dr., “Eksperimentalnoe podtverzhdenie obolochechnykh effektov na udarnykh adiabatakh alyuminiya i svintsa”, Pisma v ZhETF, 43:5 (1986), 241–244; “Экспериментальное изучение оболочечных эффектов на ударных адиабатах конденсированных веществ”, ЖЭТФ, 93:2 (1987), 613–626

[16] L. V. Altshuler, A. A. Bakanova, I. P. Dudoladov i dr., “Udarnye adiabaty metallov; novye dannye, statisticheskii analiz i obschie zakonomernosti”, Prikladnaya mekhanika i tekhnicheskaya fizika, 1981, no. 2, 3–34

[17] N. N. Kalitkin, L. V. Kuzmina, “Med kak udarno-volnovoi standart”, Dokl. RAN, 360:2 (1998), 182–185

[18] A. I. Voropinov, G. M. Gandelman, V. G. Podvalnyi, “Elektronnye energeticheskie spektry i uravneniya sostoyaniya tverdykh tel pri vysokikh davleniyakh i temperaturakh”, UFN, 100:2 (1970), 193–224

[19] E. Yu. Dnestrovskaya, N. N. Kalitkin, Statisticheskaya obrabotka eksperimentov po silnym szhatiyam, preprint No 168, IPM im. M. V. Keldysha, M., 1988

[20] S. D. Rothman, A. M. Evans, “High accuracy EOS experiments using the AWE Helen laser”, Proceedings of the International workshop “New models and numerical codes for shock wave processes in condensed media” (Oxford, 15–19 sept. 1997), ed. I. G.Cameron, 298–301

[21] N. N. Kalitkin, L. V. Kuzmina, “Pretsizionnye shirokodiapazonnye udarnye adiabaty metallov”, Dokl. RAN, 368:2 (1999), 178–180 | MR

[22] Ch. E. Ragan-III, Phys. Rev. A, 21:2 (1980), 458 | DOI

[23] L. V. Altshuler, A. A. Bakanova, M. I. Brazhnik i dr., “Adiabata urana do davlenii v 4 TPa”, Khimicheskaya fizika, 14:2–3 (1995), 65–67