Research into the effect of technological imperfections of meniscus liners on explosive formation dynamics of high-speed rod elements

Authors: Asmolovskiy N.A., Baskakov V.D., Zarubina O.V. Published: 06.10.2015
Published in issue: #5(104)/2015  

DOI: 10.18698/0236-3941-2015-5-72-86

Category: Mechanics | Chapter: Mechanics of Deformable Solid Body  
Keywords: high-speed element, periodical wrinkles, grid distortion, coating thickness variation

The paper presents the research into the effect of liners thickness variation in circumferential direction on kinematic characteristics and geometrical parameters of the generated high-speed elements. The liners thickness variation is presented as a sum of elementary trigonometric harmonics. The analysis is based on a threedimensional numerical simulation of explosive loading of the liners coatings in Lagrangian coordinates. The authors implement a method for simulation of small-amplitude harmonic components of the liners thickness variation based on the forced minor distortion of the axisymmetric mesh. The article discloses a technique projecting the contour of a high-speed element onto coordinate planes and estimating position of its axis of symmetry. The technique is used to estimate the shape of the high-speed elements as well as their transverse and angular velocities. With the help of this technique, the authors calculate the most important kinematic characteristic, that is an angular velocity, which the high-speed elements attain due to variation in the liners thickness. The calculations made with due account for simultaneous presence of several harmonics in the structure of the liners thickness variation showed that the harmonics superposition can be considered as one of the reasons for the high-speed elements asymmetry in both radial and axial directions as well as for their destruction.


[1] Takanao Saiki, Hirotaka Sawada, Chisato Okamoto, Hajime Yano, Yasuhiko Takagi, Yasuhiro Akahoshi, Makoto Yoshikawa. Small carry-on impactor of Hayabusa 2 mission. Acta Astronautica, March-April 2013, vol. 84, pp. 227-236, ISSN 00945765.

[2] Hutchinson J.W., Koiter W.T. Postbuckling theory. Applied Mechanics Reviews, 1970, pp. 1353-1366.

[3] Asmolovskiy N.A., Baskakov V.D., Tarasov V.A. The Impact of Periodic Disturbanceson the Formation of High-Speed Rod Elements. Izv. Vyssh. Uchebn. Zaved., Mashinostr. [Proc. Univ., Mech. Eng.], 2013, no. 8, pp. 8-14 (in Russ.).

[4] Baskakov V.D., Tarasov V.A., Kolpakov V.I., Sof’in A.S. Assessment of the EFP Technological Imperfections on the Accuracy and Penetration of Elongated Projectiles. Oboronnaya tehnika [Defense Technology], 2010, no. 1-2, pp. 90-97 (in Russ.).

[5] Kolpakov V.I., Baskakov V.D., Shikunov N.V. Mathematical modeling of the functioning of shellmounting charges taking into account technological asymmetries. Oboronnaya tekhnika [Defense Technology], 2010, no. 1-2, pp. 82-89 (in Russ.).

[6] Kolpakov V.I. Mathematical simulation of the explosive devices’performance. Jelektr. Nauchno-Tehn. Izd "Nauka i obrazovanie" [El. Sc.-Tech. Publ. Science and Education], 2012, no. 2 (in Russ.). Availlable at: http://technomag.edu.ru/doc/334177.html

[7] Couque H., Boulanger R. EFP Simulations with Johnson-Cook Models, 23rd International Symposium on ballistics Tarragona. Spain, 16-20 April 2007, vol. I, pp. 255-262.

[8] Johnson G.R., Stryk R.A. Some considerations for 3D EFP computations, International J. of Impact Engineering, 2006, vol. 32, iss. 10, pp. 1621-1634, ISSN 0734-743X.

[9] Johnson G.R., Stryk R.A. Symmetric contact and sliding interface algorithms for intense impulsive loading. Comput. Methods Appl. Mech. Eng., 2001, vol. 190, iss. 35-36, pp. 4531-4549.

[10] Beissel S.R., Johnson G.R. Large-deformation triangular and tetrahedral element formulations for unstructured meshes. Comput. Methods Appl. Mech. Eng., 2000, vol. 187, iss. 3-4, pp. 469-482.

[11] Jianfeng Lou, Tao Hong, Longhe Liang, Bing Han. Numerical simulation of formation of EFP with charge of aluminized high explosive. 23rd International Symposium on Ballistics Tarragona. Spain, 16-20 April, 2007, vol. II, pp. 1265-1271.

[12] Jian-qing Liu, Wen-bin Gu, Ming Lu, Hao-ming Xu, Shuang-zhang Wu. Formation of explosively formed penetrator with fins and its flight characteristics. Defence Technology, vol. 10, iss. 2, June 2014, pp. 119-123. ISSN 2214-9147.

[13] Asmolovskiy N., Tkachuk A., Bischoff M. Numerical approaches to stability analysis of cylindrical composite shells based on load imperfections. Engineering Computations, 2014, vol. 32, iss. 2 (in press).

[14] Skvortsov A.V. Triangulyatsiya Delone i ee primenenie [Delaunay triangulation and its application]. Tomsk, Tomsk. Univer. Publ., 2002. 128 p.

[15] Bentley J.L. Multidimensional binary search trees used for associative searching. Communications of the ACM, 1975, vol. 18, iss. 9, pp. 509-517.

[16] Kolpakov V.I., Baskakov V.D., Kruzhkov O.A., Shikunov N.V. Assessing the impact of technological factors on the kinematic parameters of the elongated striking element of the shaped charge. Ekstremal’nye sostoyaniya veshchestva. Detonatsiya. Udarnye volny. Tr. Mezhdunar. Konf. 9 Kharitonovskie tematicheskie nauch. chteniya [Extreme states of matter. Detonation. Shock waves. Proc. of the International Conf. 9 Kharitonov thematic scientific reading], 2007, pp. 585-590 (in Russ.).