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Today’s world has a very urbanized structure – more than half the population of 6.8 billion people live in cities, and underground spaces are one of the most prerogative zones for cities of modern civiliza-tion. Underground spaces have grown, along with the risk of terrorism and its organization. Therefore, it is very important to predict the dynamic impacts of explosives in underground spaces and the blast waves can be transformed into a loading of solid structures. In this paper, the impact of explosions and air strike waves is formulated and solved. The location of the center of explosion is very relevant. It appears that if the location is at the solid surface, this part can be up to 30% of the total energy (in soft solids). The variables to be calculated are the mass density of gas, the velocity of movements and the internal energy. The latter covers the influence of the gas pressure, being given for the adiabatic state. The air is linearly related to the internal energy of a unit mass of the gas, as is the density, while in the neighborhood of the source of explosion, the pressure changes nonlinearly with respect to the gas density.
governing equations, strike wave, underground spaces
[1] Lucy, L.B., A numerical approach to testing of the fission hypothesis. Astronomical Journal, 82, p. 1013, 1977.
[2] Gingold, R.A. & Monoghan, J.J., Smooth particle hydrodynamics: Theory and application to non-spherical stars. Monthly Notices of the Royal Astronomical Society, 181, p. 375, 1977.
[3] Randle, P.W. & Libersky, L.D., Smooth particle hydrodynamics: Some recent improvements and application. Applied Mechanics and Engineering, 139, p. 175, 1996.
[4] Li, S. & Liu, W.K., Meshfree and particle method and their applications. Applied Mechanics Reviews, 55, p. 1, 2002. doi: http://dx.doi.org/10.1115/1.1431547
[5] Takeda, H., Miyama, S. & Sekiya, M., Numerical simulation of viscous flow by smoothed particle hydrodynamics. Progress of Theoretical Physics, 92, p. 939, 1994.
[6] Chen, J.K., Beraun, J.E. & Carney, T.C., A corrective smooth particle method for boundary value problems in heat conduction. International Journal for Numerical Methods in Engineering, 46, p. 231, 1999.
[7] Veselovsky, A.N. & Kurepin, N.S., Proceedings of 26th Central Scientifi c Institute of the Russian Federation, Moscow, 2006, report II/2, in Russian.
[8] Godunov, S.K. Zabrodin, A.V., Ivanov, M.Y., Kraiko, A.N. & Prokopov, G.P., Numerical Solutions of the Poly-Dimensional Problem of Gas Dynamic, Nauka: Moscow, 1976, in Russian.
[9] Zeldovich, J.B. & Raize, J.P., Physics of Strike Waves and High Temperature Hydrodynamic Processes, Nauka: Moscow, 1966, in Russian.
[10] Prochazka, P. & Kravtzov, A., Blast Impact on Structures of Underground Parking, Underground Spaces, WIT: New Forest, 2008.