Transient Response of a Projectile in Gun Launch Simulation Using Lagrangian and Ale Methods
DOI:
https://doi.org/10.1260/1750-9548.4.2.151Abstract
This paper describes the usefulness of Lagrangian and arbitrary Lagrangian/Eulerian (ALE) methods in simulating the gun launch dynamics of a generic artillery component subjected to launch simulation in an air gun test. Lagrangian and ALE methods are used to simulate the impact mitigation environment in which the kinetic energy of a projectile is absorbed by the crushing of aluminum honeycomb mitigator. In order to solve the problem due to high impact penetration, a new fluid structure coupling algorithm is developed and implemented in LS-DYNA, a three dimensional FEM code. The fluid structure coupling algorithm used in this paper combined with ALE formulation for the aluminum honeycomb mitigator allows to solve problems for which the contact algorithm in the Lagrangian calculation fails due to high mesh distortion. The numerical method used for the fluid and fluid structure coupling is discussed. A new coupling method is used in order to prevent mesh distortion. Issues related to the effectiveness of these methods in simulating a high degree of distortion of Aluminum honeycomb mitigator with the commonly used material models (metallic honeycomb and crushable foam) are discussed. Both computational methods lead to the same prediction for the deceleration of the test projectile and are able to simulate the behavior of the projectile. Good agreement between the test results and the predicted projectile response is achieved via the presented models and the methods employed.
References
Benson, D.J. (1991), “Computational Methods in Lagrangian and Eulerian hydrocodes”, Computer Methods in Applied Mechanics and Engineering. 99, 235-394. https://doi.org/10.1016/0045-7825(92)90042-i
Lu, W. and Hinnerichs, T. (2001), “Crush of High Density Aluminum Honeycombs”, Proceedings of the International Mechanical Engineering Congress and Exposition, November 11-16.
Hallquist, J.O. (1998), ‘LS-DYNA Theoretical Manual’, LSTC, Livermore, CA.
Hallquist, J.O. (1998), ‘LS-DYNA Users Manual, Vol. 1’, LSTC, Livermore, CA.
Hallquist, J.O. (1998), ‘LS-DYNA Users Manual, Vol. 2’, LSTC, Livermore, CA.
Tabiei, A. (1999-2002), “Advance LS-DYNA Lecture Notes”, Cincinnati, OH.
Bitzer, T. (1997), Honeycomb Technology, Champman & Hall, London, UK.
Chowdhury, M.R. and Tabiei, A. (2003), “Development of An Air Gun Simulation Model Using LS-DYNA”, Final Report, TCN 02-125, U.S. Army Research Office, RTP, NC.
Nakayama, T., Mori, M. (1996), “An Eulerian Finite Element method for time-dependent free-surface problems in hydrodynamics”, International Journal for Numerical Methods in Fluids. 22(3), 175-194. https://doi.org/10.1002/(sici)1097-0363(19960215)22:3<175::aid-fld352>3.0.co;2-f
Hughes, T. J. R., Liu, W. K., and Zimmerman, T. K., (1981), “Lagrangian Eulerian finite element formulation for viscous flows”, J. Comput. Methods Appl. Mech. Engrg. 21 329-349. https://doi.org/10.1016/0045-7825(81)90049-9
Donea, J., (1983), “Arbitrary Lagrangian-Eulerian Finite Element Methods, Computational methods for Transient Analysis”, T. Belytschko and T.J.R. Hughes, ed. Elsevier Sciences Publishers, B.V. 473-513.
Benson, D J., (1989), “An efficient, accurate, simple ALE method for nonlinear finite element programs”, Computational Methods In Applied Mechanics and Engineering 1989 72, 305-350. https://doi.org/10.1016/0045-7825(89)90003-0
Benson, D.J. (1997), “A mixture Theory for Contact in Multi-Material Eulerian Formulations”, Computer Methods in Applied Mech. and Eng. 140, 59-86. https://doi.org/10.1016/s0045-7825(96)01050-x
Aquelet, N., Souli, M., Gabrys, J. and Olovsson, L. (2003) “A new ALE formulation for sloshing analysis”, Structural Engineering and Mechanics. 16(4), 423-440. https://doi.org/10.12989/sem.2003.16.4.423
Aquelet, N., Souli, M. and Olovsson, L. (2005) “Euler-Lagrange coupling with damping effects: Application to slamming problems”, Comput. Methods Appl. Mech. Engrg., accepted. https://doi.org/10.1016/j.cma.2005.01.010
Flanagan, D.P. and Belytschko, T. (1981), “A Uniform Strain Hexahedron and Quadrilateral and Orthogonal Hourglass Control”, Int. J. Numer. Meths, Eng. 17, 679-706. https://doi.org/10.1002/nme.1620170504
Young, D.L. (1982) “Time-dependent multi-material flow with large fluid distortion”, Numerical Methods for Fluids Dynamics, Ed. K. W. Morton and M.J. Baines, Academic Press, New-York.
Woodward, P.R., and Collela, P. (1982), “The numerical simulation of two-dimensional fluid flow with strong shocks”, Lawrence Livermore National Laboratory. UCRL-86952.
Benson, D.J. (1992), “Momentum Advection on a Staggered Mesh”, Journal of Computational Physics. 100(1), 143-162. https://doi.org/10.1016/0021-9991(92)90316-q
Van Leer, B. (1977), “Towards the Ultimate Conservative Difference Scheme. IV. A New Approach to Numerical Convection”, Journal of Computational Physics. 23, 276-299. https://doi.org/10.1016/0021-9991(77)90095-x
Souli, M., Ouahsine, A., Lewin, L. (2000), “ALE formulation for fluid-structure interaction problems”, Computer Methods in Applied Mech. and Eng. 190, 659-675. https://doi.org/10.1016/s0045-7825(99)00432-6
Amsden, A. A., and Hirt, C. W. (1973), “YAQUI: An Arbitrary Lagrangian-Eulerian Computer Program for Fluid Flow at All Speeds”, Los Alamos Scientific Laboratory, LA-5100. https://doi.org/10.2172/4495964
Zhong, Z.H., (1993), “Finite Element Procedures for Contact-impact Problems”, Oxford University Press, Oxford.
Belytschko, T., Neal, M.O., (1989), “Contact-impact by the pinball algorithm with penalty, projection, and Lagrangian methods”, in: Proceedings of the Symposium on Computational Techniques for Impact, Penetration, and Performation of Solids AMD, vol.103, ASME, New York, NY, pp. 97-140.
Belytschko, T., Liu, W.K., Moran, B., (2000), “Nonlinear Finite Elements for Continua and Structures”, John Wiley & Sons, Ltd.
Published
How to Cite
Issue
Section
Copyright (c) 2010 A Tabiei, M Chowdhury, N Aquelet, M Souli
This work is licensed under a Creative Commons Attribution 4.0 International License.