FEM Simulation of HE Blast-Fragmentation Warhead and the Calculation of Lethal Range

This paper presents the simulation of fragmentation warhead using a hydrocode, Autodyn. The goal of this research is to determine the lethal range of such a warhead. This study investigates the lethal range of warheads with and without steel balls as preformed fragments. The results from the FE simulation, i.e. initial velocities and ejected spray angles of fragments, are further processed using an analytical approach so as to determine a fragment hit density and probability of kill of a modelled warhead. In order to simulate a plenty of preformed fragments inside a warhead, the model requires expensive computation resources. Therefore, this study attempts to model the problem in an alternative approach by considering an equivalent mass of preformed fragments to the mass of warhead casing. This approach yields approximately 7% and 20% difference of fragment velocities from the analytical results for one and two layers of preformed fragments, respectively. The lethal ranges of the simulated warheads are 42.6 m and 56.5 m for warheads with one and two layers of preformed fragments, respectively, compared to 13.85 m for a warhead without preformed fragment. These lethal ranges are based on the requirement of fragment hit density. The lethal ranges which are based on the probability of kill are 27.5 m, 61 m and 70 m for warheads with no preformed fragment, one and two layers of preformed fragments, respectively.




References:
[1] Y. Charron, "Estimation of velocity distribution of fragmenting warheads
using a modified Gurney method," Air Force Institute of Technology,
1979.
[2] "Elements of terminal Ballistics, Part One, Introduction, Kill Mechenics
and Vulnerability," in Washington, D.C., 1962, pp. 4-175.
[3] N. F. Mott, "Fragmentation of high explosive shells, A theoretical formula
for the distribution of weights of fragments," 1943.
[4] "AAAV 30 mm HE lethality testing, Test procedures and casualty
models," NAVSEA, Dahlgren.
[5] Federation of American Scientists (FAS). "Introduction to Naval Weapons
Engineering, Damage Criterion", http://www.fas.org/man/dod-
101/navy/docs/es310/dam_crit/dam_crit.htm.