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Acknowledgements The work was supported by RFBR (19-31-60037, 20-01-00291). Y.V. Petrov acknowledges support from the Russian Science Foundation (No.17-11-01053) for creation of sections 2,3. References Rosakis, A.J., Duffy, J., Freund, L.B., 1984. The determination of dynamic fracture toughness of AISI 4340 steel by the shadow spot method. J. Mech. Phys. Solids 32(4), 443-460. Ravi-Chandar, K., Knauss, W.G., 1984a. An experimental investigation into dynamic fracture: I. Crack initiation and arrest. Int J Fract 25, 247– 262. Ravi-Chandar, K., Knauss, W.G., 1984b. An experimental investigation into dynamic fracture: II. Microstructural aspects. Int J Fract 26, 65–80. Ravi-Chandar, K. Knauss, W.G., 1984c. An experimental investigation into dynamic fracture: III. On steady state crack propagation and crack brunching. Int J Fract 26, 141–154. Kalthoff, J.F., 1983. On some current problems in experimental fracture dynamics. Workshop on Dynamic Fracture, California Institute of Technology, 11-25. Dally, J.W., Fourney, W.L, Irwin, G.R., 1985. On the uniqueness of the stress intensity factor – crack velocity relationship, Int. J. Fract 27, 159 168. Petrov, Yu.V., 1996. QuantumAnalogy in the Mechanics of Fracture of Solids. Physics of the Solid State, 38(11), 1846-1850 . Petrov, Y.V., Utkin, A.A., 1989. Dependence of the dynamic strength on loading rate. Soviet Materials Science, 25(2), 153-156. Petrov, Y.V., 1991. On "quantum" nature of dynamic failure of brittle media. Dokl Akad Nauk SSSR 321(1), 66-68. Neuber, H., 1937. Kerbspannunglehre: Grundlagen fur Genaue Spannungsrechnung, Springer-Verlag, Berlin. Novozhilov ,V.V., 1969. About the necessary and sufficient brittle strength criterion, Prikl. Mat. Mekh. 33(2), 212-222. Nakamura, T., Shih, C.F., Freund, L.B., 1985. Computational methods based on an energy integral in dynamic fracture, International Journal of Fracture 27, 229-243. Shih, C.F., Moran, B., Nakamura, T., 1986. Energy release rate along a three-dimensional crack front in a thermally stressed body, International Journal of Fracture 30, 79-102. Petrov, Y.V., Morozov, N.F., 1994. On the modeling of fracture of brittle solids, J Appl Mech 61, 710–712. Petrov, Yu.V., Smirnov, I.V, Utkin, A.A., 2010. Effects of strain-rate strength dependence in nanosecond load duration range. Mechanics of Solids 45, 476–484. Bragov, A.M., Karihaloo B.L., Petrov, Yu.V., Konstantinov, A.Yu., Lamzin, D.A., Lomunov, A.K, Smirnov, I.V., 2012. High-rate deformation and fracture of fiber reinforced concrete. Journal of Applied Mechanics and Technical Physics 53, 926–933.