Modares Mechanical Engineering

Modares Mechanical Engineering

Finite element simulation of shaped charge and comparison of results with experimental tests and Birkhoff jet model

Authors
1 associated professor/Babol university of technology
2 Ph.D student, Department of Mechanical Engineering, Babol University of Technology
3 Professor, Department of Mechanical Engineering, Babol University of Technology
Abstract
The aim of this paper is simulation of shaped charge process using Eulerian analysis. To this end, the finite element analysis was used to simulate the process of shaped charge. In this simulation, whole of the model has been considered from Eulerian elements. Verification of finite element method has been confirmed by comparing simulation with experimental tests and Birkhoff model. Comparison of penetration depth in finite element analysis with experimental samples has shown that the results are in good agreement with each other. Also comparing parameters such as liner collapse velocity, velocity distribution in jet length and jets profile has indicated that the simulation results are close to Birkhoff model. It should be noted that ABAQUS finite element software is used in this simulation to analyze the process of shaped charge.
Keywords

Subjects


Ch. Poole, Penetration of a Shaped Charge, PhD thesis, Oxford University, 2005.
[2] J.H. Brunton, High speed liquid impact, Philosophical Transaction of the Royal Society of London Series A, Vol. 260, pp. 79-85, 1966.
[3] M. Hashish, A modeling study of metal cutting with abrasive water jets, Journal of Engineering Material (Trans. ASME), Vol. 106, pp. 88–100, 1984.
[4] J.P. Curtis, R.J. Kelly, Circular streamline model of shaped-charge jet and slug formation with asymmetry, Journal of Applied Physics, Vol. 75, pp. 7700–7709, 1994.
[5] W.P. Walters, An overview of the shaped charge concept, 11th Ann. ARL/USMA Technical Symp., 2003.
[6] S. Özel , Formation and Penetration of the Shaped Charge Jets, PhD thesis, Mechanical Engineering Department, Middle East Technical University, 2000.
[7] G.İ. Aksoy, Investigation of Liner Collapse in the Shaped Charge Technology, PhD. Thesis, Mechanical Engineering Department, Ataturk University, 2006.
[8] G. Birkhoff, D.P. MacDougall, E.M. Pugh, E. Taylor, Explosives with Lined Cavities, Journal of Applied Physics, Vol. 19, pp. 563-582, 1948.
[9] T.E. Caywood, G. Birkhoff, Fluid flow patterns, Journal of Applied Physics, Vol. 23, pp. 623-631, 1949.
[10] E.M. Pugh, R.J. Eichelberger, N. Rosteker, Theory of Jet Formation by Charges with Lined Conical Cavities, Journal of Applied Physics, Vol. 23, pp. 532-526, 1976.
[11] A. Tate, Long rod penetration models - part I: A flow field model for high speed long rod penetration, International Journal of Mechanical Science, Vol. 28, pp. 535-548, 1986.
[12] P.C. Chou, W.J. Flis, Recent Developments in Shaped Charge Technology, Propellants, Explosives, Pyrotechnics, Vol. 11, pp. 99-114, 1993.
[13] G.E. Duvall, J.O. Erkman, Technical Report No.1, Stanford Research Institute, 1958.
[14] A.N. Mikhailov, A. Dremlin, Flight Speed of Plate Propelled by Products From Sliding Detonation, Fizika Gorenia I Vzryva, Vol. 10, pp. 877-884, 1974.
[15] L.A. Shushko, B.I. Shekter, S.L. Krys’kov, Bending of a Metal Strip by a Sliding Detonation Wave, Fizika Gorenia I Vzryva, Vol. 11, pp. 264-274, 1975.
[16] G. Randers, An Improved Equation of Calculating Fragment Projection Angle, Proceedings of 2nd Symposium on Ballistics, Daytona Beach- USA, 1976.
[17] E. Hirsch, Scaling of the Shaped Charge Jet Break-up Time, Propellants, Explosives and Pyrotechnics, Vol. 31, pp. 230-233, 2006.
[18] E. Baker, Modeling and optimization of shaped charge liner collapse and jet formation, PhD. Thesis, Washington State University, 1992.
[19] W.P. Walters, R.L. Summers, A review of jet breakup models, Propellants, Explosives, Pyrotechnics, Vol. 18, pp. 241-246, 1993.
[20] W.P. Walters, J.A. Zukas, Fundamental of Shaped Charge Jets, John Wiley and Sons, 1989.
[21] S. Chen, W.B. Li, X.M. Wang, W.J. Yao, Penetration research of dual-mode penetrator formed by shaped charge with wave shaper, Porcedia Engineering, Vol. 173, pp. 57-64, 2017.
[22] H. Junqing, Z. Wei, W. Wenyue, H. Kelei, The 3D Numerical Simulation of the Shaped Charge Jet Penetration through the Steel Target, The 2nd International Conference on Computer Application and System Modeling, Atlantis Press, Paris, France, 2012.
[23] D.L. Feng, M.B Liu, H.Q. Li, G.R. Liu, Smoothed particle hydrodynamics modeling of linear shaped charge with jet formation and penetration effects, Journal of Computers & Fluids, Vol. 86, pp. 77-85, 2013.
[24] J.F. Molinari, Finite element simulation of shaped charges, Finite Elements in Analysis and Design, Vol. 38, pp. 921-936, 2002.
[25] C. Wang, J. Ding, H. Zhao, Numerical Simulation on Jet Formation of Shaped Charge with Different Liner Materials, Defence Science Journal, Vol. 65, pp. 279-286, 2015.
[26] J.H. Ou, J.B. Ou, Y.J. Jhu, The design and analysis for shaped charge liner using Taguchi method, International Journal of Mechanics, Vol. 8, pp. 53-61, 2014.
[27] C.Z. Duan, T. Dou, Y.J. Cai, Y.Y. Li, Finite Element Simulation and Experiment of Chip Formation Process during High Speed Machining of AISI 1045 Hardened Steel, International Journal of Production and Industrial Engineering, Vol. 2, pp. 28-32, 2011.