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15Complex Systems of Charged Particles and their Interactions with Electromagnetic Radiation 2019
SEMI-EMPIRICAL ANALITICAL MODEL FOR FINDING THE SHOCK ADIABATE OF METALLS BY THE CHARACTERISTICS OF THE SHOCK WAVE ATTUATION IN THE LASER EXPERIMENTS
S.Yu. Gus'kov1, I.K. Krasyuk1,2, A.Yu Semenov2, I.A. Stuchebrukhov12, K.V. Khishchenko3
1P.N. Lebedev Physical Institute of RAS, Moscow, Russia e-mail: guskov@sci.lebedev.ru 2 Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow, Russia
e-mail: krasyuk@kapella.gpi.ru 3Joint Institute for High Temperatures of RAS, Moscow, Russia e-mail: konst@ihed.ras.ru
A semi-empirical analytical model is developed to find the shock adiabate of metals, including the thermal part of the pressure, by measuring the attenuation characteristics of a strong shock wave formed by the action of a powerful laser pulse on a flat target. The results of measuring the arrival time of hydrodynamic perturbation on the back surface of aluminum foils of different thickness are presented. The theory of decay of plane shock waves in metals for a range of pressures (0.1 - 10) TPa was developed. To verify the theoretical conclusions, numerical simulation of the shock wave processes under study using wide-range equations of state of matter is performed. Figure 1 shows the graphs of the velocity of the wave front of hydrodynamic disturbances W from the distance traveled, obtained in numerical and analytical calculations.
• i—i
o >
14 12 10 8 6
1 V
I V 1 V V V
0 10 20 30 40 50 60 70 80 90 100
Distance, mkm
Figure 1. The graphs of the velocity of the wave front of hydrodynamic disturbances W from the distance traveled, obtained in numerical (dash line) and analytical calculations (solid line).
This work was financially supported by the RAS program №13 "Condensed matter and plasma at high energy densities" and by the RFBR Grant No. 18-02-00652.
