Numerical Analysis of the Controlled Loss of Stability of Meniscal Form Liners at High-Speed Collapse

Authors: Baburin M.A., Baskakov V.D., Eliseev S.V., Karnaukhov K.A., Tarasov V.A. Published: 11.09.2019
Published in issue: #4(85)/2019  
DOI: 10.18698/1812-3368-2019-4-22-39

Category: Physics | Chapter: Instrumentation and Methods of Experimental Physics  
Keywords: loss of stability, numerical simulation, meniscal form liner, high speed element, folded after-body, plastic deformation

Experimental and analytical research methods of losses of stability of meniscal form liners at their high-speed deformation, i.e., collapse, by products of detonation of explosive have limited opportunities. They are caused by the complicated nature of liner thickness change to control the operated loss of stability --- folding, high-speed deformations of liners, intensive drop of pressure acting on them and some other features. The paper introduces an approach to numerical three-dimensional modeling of collapse of meniscal form liners with variable thickness in the circumferential direction in the area of their periphery, the modeling being carried out by the finite element method in Lagrange coordinate system in LS-DYNA software package. The study also shows the main stages of implementing this approach and describes the key parameters of the materials models used, as well as the type of the final element and mechanism of adaptive updating of the computational grid. By the method of numerical simulation, we found the main regularities of liners collapse and folding of the afterbody of high speed elements formed during the collapse of the liners. The results of numerical calculations are confirmed by experimental data. The studies done are of interest to specialists involved in the analysis of the loss of stability of various structures under dynamic loads, as well as to specialists in the field of explosion and impact physics


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

[2] Selivanov V.V., ed. Boepripasy. T. 1 [Ammunition. Vol. 1]. Moscow, BMSTU Publ., 2016.

[3] Li W., Wang X., Chen K. Research on the skirt tail explosively formed projectile stable shaping technology. J. Appl. Mech. Tech. Phys., 2016, vol. 57, iss. 5, pp. 894--899. DOI: https://doi.org/10.1134/S0021894416050175

[4] Liu J., Gu W., Lu M., et al. Formation of explosively formed penetrator with fins and its flight characteristics. Defense Technology, 2014, vol. 10, iss. 2, pp. 119--123. DOI: https://doi.org/10.1016/j.dt.2014.05.002

[5] Bender D., Chouk B., Fong R., et al. Explosively formed penetrators (EFP) with canted fins. Proc. 19th Int. Symp. Ballistics, vol. 2, 2001, pp. 755--762.

[6] Rassokha S.S., Ladov S.V., Babkin A.V. [Numerical research on self-tightening mechanism of rippled cumulative liners]. Ekstremalnye sostoyaniya veshchestva. Detonatsiya. Udarnye volny. Mat. Mezhdunar. konf. [Extreme states of substance. Detonation. Shock waves. Proc. Int. Conf.]. Sarov, RFYaTs-VNIIEF Publ., 2013, pp. 547--552 (in Russ.).

[7] Babkin A.V., Rassokha S.S., Ladov S.V. Calculation method for operating parameters of spinning cumulative charges. Oboronnaya tekhnika, 2010, no. 1--2, pp. 23--30 (in Russ.).

[8] Kolpakov V.I., Baskakov V.D., Shikunov N.V. Mathematical modelling of explosively formed projectile operating taking into account technological asymmetry. Oboronnaya tekhnika, 2010, no. 1--2, pp. 82--89 (in Russ.).

[9] Asmolovskiy N.A., Baskakov V.D., Zarubina O.V. Research into the effect of technological imperfections of meniscus liners on explosive formation dynamics of high-speed rod elements. Herald of the Bauman Moscow State Technical University, Series Mechanical Engineering, 2015, no. 5, pp. 72--86 (in Russ.). DOI: 10.18698/0236-3941-2015-5-72-86

[10] Asmolovskiy N.A., Baskakov V.D., Tarasov V.A. The impact of periodic disturbances on the formation of high-speed rod elements. Proceedings of Higher Educational Institutions. Маchine Building, 2013, no. 8, pp. 8--14 (in Russ.). DOI: 10.18698/0536-1044-2013-8-8-14

[11] Asmolovskiy N.A., Baskakov V.D., Boyarskaya R.V., et al. Mathematical modeling of shock loading of the meniscus liner. Matematicheskoe modelirovanie i chislennye metody [Mathematical Modeling and Computational Methods], 2016, no. 1 (9), pp. 52--67 (in Russ.). DOI: 10.18698/2309-3684-2016-1-5267

[12] Kruglov P.V., Kolpakov V.I. [Mechanism of explosive formation of high-velocity elongated projectiles from steel segment lining]. Aktualnye problemy razrabotki sredstv porazheniya i boepripasov [Actual Problems of Weapons and Ammunition Development], 2018, pp. 203--2018 (in Russ.).

[13] Baskakov V.D., Karnaukhov K.A. Research into the process of impingement of two plane jets of an ideal fluid with free boundaries. J. Phys.: Conf. Series, 2016, vol. 731, no. 1, art. 012002. DOI: https://doi.org/10.1088/1742-6596/731/1/012002

[14] Karnaukhov K.A., Baskakov V.D., Korenkov V.V., et al. Peculiarity of the shaped-charge liner collapse concerning the unevenness in its cross-section. J. Phys.: Conf. Series, 2017, vol. 894, no. 1, art. 012039. DOI: https://doi.org/10.1088/1742-6596/894/1/012039

[15] Kolpakov V.I., Savenkov G.G., Mazur A.S., et al. Numerical simulation of the efficiency of an extended cumulative charge acting against an armed concrete obstacle. Tech. Phys., 2015, vol. 60, iss. 1, pp. 1--7. DOI: https://doi.org/10.1134/S1063784215010156

[16] Johnson G.R., Stryk R.A. Some considerations for 3D EFP computations. Int. J. Impact Eng., 2006, vol. 32, iss. 10, pp. 1621--1634. DOI: https://doi.org/10.1016/j.ijimpeng.2005.01.011

[17] Hallquist J.O. LS-DYNA theory manual. Livermore, LSTC, 2005.

[18] LS-DYNA keyword user’s manual. Livermor, LSTC, 2007.

[19] Bigiel H.G. Insert for a projectile-forming charge. Patent 4590861 US. Appl. 13.05.1983, publ. 27.05.1986.