Mathematical Simulation of the Behavior of a Cumulative Jet with Inert and Reactive Components

Authors: Babkin A.V., Medeltsev A.A., Zagryadskiy F.S., Krutskevich М.А. Published: 08.10.2019
Published in issue: #5(86)/2019  
DOI: 10.18698/1812-3368-2019-5-19-34

Category: Physics | Chapter: Condensed Matter Physics  
Keywords: numerical simulation, cumulation, liner, composite, jet, penetration

The purpose of the research was to investigate the processes associated with the free flight of a cumulative jet formed from a composite liner of a cumulative charge. We mathematically simulated the process from the perspective of continuum mechanics using numerical methods for solving the corresponding equations. The cumulative jet was simulated in the quasi-two-dimensional nonstationary approximation as a high-gradient cylindrical compressible elastoplastic or liquid rod. The material of the jet was considered as a one-speed three-phase medium. The compressibility of each phase was described by its inherent barotropic dependence of pressure on density. The resulting pressure in a multiphase mixture of particles of the cumulative jet, considered as a composite material, was determined on the basis of the additivity condition of the volumes. When assessing the composition of the jet, we determined the initial concentrations of the components using a software package for thermo-dynamic simulation of chemically reacting systems. To find the numerical solution of the multi-phase, i.e., composite, jet extension problem, we used a finite-difference method based on Neumann --- Richtmyer scheme. The numerical analysis of the process under study was carried out on the example of a laboratory cumulative charge. Within the research, we found the characteristic features and possible variations in the behavior of the jet depending on the presence of the components of the composite liner, i.e., matrix, inert and reactive additives, and their properties. Finally, we estimated the change in the penetrating power of the jet compared to the reference variant of the cumulative liner of a homogeneous single-phase monolithic material


[1] Bykov Yu.A., Vorkina T.E. Powder composite materials for slugless shaped charges perforators. Metallovedenie i termicheskaya obrabotka metallov, 1994, no. 6, pp. 27--29 (in Russ.).

[2] Bykov Yu.A., Vorkina T.E. Developing materials for slugless shaped charges perforators. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 1994, no. 1, pp. 25--31 (in Russ.).

[3] Bykov Yu.A., Vorkina T.E. Powder and powder shaped charges effect on its operating characteristics. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 1994, no. 3, pp. 23--27 (in Russ.).

[4] Glenn L.A., Chase J.B., Barker J., et al. Experiments in support of pressure enhanced penetration with shaped charge perforators. 18th Int. Symp. Ballistics. Lawrence Livermore National Laboratory, 1999.

[5] Babkin A.V., Ladov S.V., Fedorov S.V. Behavioral features of shaped charge free flying jets made of composite materials. Oboronnaya tekhnika, 2007, no. 3--4, pp. 38--53 (in Russ.).

[6] Babkin A.V., Ladov S.V., Marinin V.M., et al. Effect of shaped-charge jet compressibility and strength on the characteristics of their inertial stretching in free flight. J. Appl. Mech. Tech. Phys., 1997, vol. 38, iss. 2, pp. 177--184. DOI: https://doi.org/10.1007/BF02467898

[7] Krutskevich M.A., Babkin A.V. [Gradient stretching of composite cumulative jet]. Sb. dokl. VIII vseros. konf. molod. uchen. i spets. “Budushcheye mashinostroyeniya Rossii” [Proc. VIII Russ. Conf. of Young Scientists and Specialists “Future of Machine Building in Russia”]. BMSTU Publ., 2015, pp. 818--821 (in Russ.).

[8] Babkin A.V., Ladov S.V., Marinin V.M., et al. Characteristics of inertially stretching shaped-charge jets in free flight. J. Appl. Mech. Tech. Phys., 1997, vol. 38, iss. 2, pp. 171--176. DOI: https://doi.org/10.1007/BF02467897

[9] Orlenko L.P., ed. Fizika vzryva. T. 1, 2 [Explosion physics. Vol. 1, 2]. Moscow, Fizmatlit Publ., 2004.

[10] Belov G.V., Trusov B.G. Termodinamicheskoe modelirovanie khimicheski reagiruyushchikh sistem [Thermodynamic modeling of chemically reacting systems]. Moscow, BMSTU Publ., 2013.

[11] Selivanov V.V., Kolpakov V.I., Klimenko A.V. High-velocity interaction of teflon-containing impactors with targets made of titanium and aluminum alloys. Russ. J. Phys. Chem. B, 2008, vol. 2, iss. 1, pp. 97--104. DOI: https://doi.org/10.1134/S1990793108010156