Three-Dimensional, Non-Linear Finite Element Analysis of Bullet Penetration through Thin AISI 4340 Steel Target Plate

Bullet penetration in steel plate is investigated with
the help of three-dimensional, non-linear, transient, dynamic, finite
elements analysis using explicit time integration code LSDYNA. The
effect of large strain, strain-rate and temperature at very high velocity
regime was studied from number of simulations of semi-spherical
nose shape bullet penetration through single layered circular plate
with 2 mm thickness at impact velocities of 500, 1000, and 1500 m/s
with the help of Johnson Cook material model. Mie-Gruneisen
equation of state is used in conjunction with Johnson Cook material
model to determine pressure-volume relationship at various points of
interests. Two material models viz. Plastic-Kinematic and Johnson-
Cook resulted in different deformation patterns in steel plate. It is
observed from the simulation results that the velocity drop and loss of
kinetic energy occurred very quickly up to perforation of plate, after
that the change in velocity and changes in kinetic energy are
negligibly small. The physics behind this kind of behaviour is
presented in the paper.




References:
[1] Backman, M. E. and Goldsmith, W., “The mechanics of penetration of
projectiles into targets,” International Journal of Engineering Science,
Vol. 16, No. 1, 1978, pp. 1–99.
[2] Dikshit, S., Kutumbarao, V., and Sundararajan, G., “The influence of
plate hardness on the ballistic penetration of thick steel plates,”
International journal of impact engineering, Vol. 16, No. 2, 1995, pp.
293–320.
[3] Borvik, T., Hopperstad, O., Berstad, T., and Langseth, M., “Numerical
simulation of plugging failure in ballistic penetration,” International
Journal of Solids and Structures, Vol. 38, No. 34, 2001, pp. 6241–6264.
[4] Kaufmann, C. and Williams, K., “Optimization of a numerical
simulation involving the impact of an AP-T C44 12.7 mm projectile on a
semi-infinite monolithic 6061-T6 aluminium target,” Tech. rep.,
Technical report, Defence Research and Development Canada, 2004.
[5] Borvik, T., Hopperstad, O., Berstad, T., and Langseth, M., “Perforation
of 12mm thick steel plates by 20mm diameter projectiles with flat,
hemispherical and conical noses: part II: numerical simulations,”
International Journal of Impact Engineering, Vol. 27, No. 1, 2002, pp.
37–64.
[6] Borvik, T., Dey, S., and Clausen, A., “Perforation resistance of five
different high-strength steel plates subjected to small-arms projectiles,”
International Journal of Impact Engineering, Vol. 36, No. 7, 2009, pp.
948–964.
[7] Nsiampa, N., Dyckmans, G., and Chabotier, A., “Impact of 7.62 mm AP
ammunition into aluminium 5083 plates,” Proc. of the XXIII
International Symposium on Ballisitic, Tarragona, Spain, 2007.
[8] H. Kurtaran, M. Buyuk, A. Eskandarian,‘‘Ballistic impact simulation of
GT model vehicle door using finite element method,’’ Theoretical and
Appied. Fracture Mechanics, Vol.40, 2003, pp.113–121.
[9] J. O. Hallquist, LSDYNA Theoretical Manual, Livermore Software
Technology Corporation, Livermore, CA, USA, 1997.
[10] J. A. Zukas, High Velocity Impact Dynamics, John Wiley & Sons Inc.,
NY, 1990.
[11] Michael Dietenberger, Murat Buyuk, Cing Dao (Steve) Kan,
‘‘Development of a High Strain-Rate Dependent Vehicle Model,’’ LSDYNA
Anwenderforum, Bamberg 2005.
[12] Borvik, T., Langseth, M., Hopperstad, O., and Malo, K., “Ballistic
penetration of steel plates,” International Journal of Impact
Engineering, Vol. 22, No. 9, 1999, pp. 855–886.
[13] T. J. Holmquist, D. W. Templeton, K. D. Bishnoi, ‘‘Constitutive
Modeling of aluminium nitride for large strain, high strain rate, and high
pressure applications,’’ International Journal of Impact Engineering,
2001, pp.211–231.
[14] V. Narayanamurthy, C. Lakshmana Rao, and B. N. Rao, ‘‘Numerical
Simulation of Ballistic Impact on Armour Plate with a Simple Plasticity
Model,’’ Defence Science Journal, Vol.64, January 2014, pp.55-61.