Hostname: page-component-78c5997874-ndw9j Total loading time: 0 Render date: 2024-11-04T21:12:16.100Z Has data issue: false hasContentIssue false

Hydrodynamic theory of glancing impact

Published online by Cambridge University Press:  26 April 2006

I. Frankel
Affiliation:
Faculty of Aerospace Engineering, Technion - Israel Institute of Technology, Haifa 32000, Israel
D. Weihs
Affiliation:
Faculty of Aerospace Engineering, Technion - Israel Institute of Technology, Haifa 32000, Israel

Abstract

Penetration of high-speed targets, such as missiles or satellites, involves a glancing impact resulting from the velocities of the target and the projectile not necessarily being parallel to one another. Glancing is different from oblique impact in that here the target is in lateral motion relative to the projectile (at speeds that may be comparable).

The effect of the transverse motion of the target on the penetration performance is analysed by means of a hydrodynamic model. As is usually done, both the projectile and target materials are taken to behave as ideal fluids, owing to the large stresses obtained upon impact. A complete description of the flow field is obtained for the planar case, making use of a transformation to the hodograph plane. Owing to the lack of symmetry, the solution is obtained indirectly from the known solution for asymmetrically impinging jets, obtaining a determinate solution by a limit process where the jet representing the target fluid becomes infinitely wide.

The variations of the rate of penetration and the streamline pattern with the respective ratios of target to projectile speeds and densities are studied. It is found that the relative lateral motion of the target causes a decrease in the rate of penetration (in comparison to normal impact). The analysis is utilized to obtain an estimate for the total depth of penetration (relative to the projectile width). Comparison with experimental data of yawed impact available in the open literature shows good agreement with the theoretical predictions when the latter are modified to account for the deceleration of a finite-length projectile.

Type
Research Article
Copyright
© 1990 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

Birkhoff, G. & Caywood, T. E. 1949 Fluid flow patterns. J. Appl. Phys. 20, 646659.Google Scholar
Birkhoff, G., MacDougal, D. F., Pugh, E. M. & Taylor, G. I. 1948 Explosives with lined cavities. J. Appl. Phys. 19, 563582.Google Scholar
Bless, S. J., Barber, J. P., Bertke, R. S. & Swift, H. F. 1978 Penetration mechanics of yawed rods. Intl J. Engng Sci. 16, 829834.Google Scholar
Eichelberger, R. J. 1956 Experimental test of the theory of penetration by metallic jets. J. Appl. Phys. 27, 6368.Google Scholar
Golesworthy, R. C. 1983 The effect of transverse velocity on shaped charge performance. In Proc. 7th Intl Symp. Ballistics, April, 1983, The Hague pp. 257260. The Hague: K.I.I.
Golesworthy, R. C. & Townsend, I. 1984 Analytical model of shaped charge penetration in the direct and overflying top attack modes. In Proc. 8th Intl Symp. Ballistics, October, 1984, Orlando, Session VII pp. 114. Wilmington MA: AVCO Systems Division.
Held, M. 1984 Transverse shaped charges. In Proc. 8th Intl Symp. Ballistics, October, 1984, Orlando, Session VII pp. 3947. Wilmington MA: AVCO Systems Division.
Held, M. & Fischer, R. 1986 Penetration theory for inclined and moving shaped charges. Propellants, Explosives, Pyrotechnics 11, 115122.Google Scholar
Hopkins, D. F. & Robertson, J. M. 1967 Two dimensional incompressible fluid jet penetration. J. Fluid Mech. 29, 273287.Google Scholar
Lighthill, J. 1979 A simple fluid-flow model of ground effect on hovering. J. Fluid Mech. 93, 781797.Google Scholar
Milne-Thomson, L. M. 1968 Theoretical Hydrodynamics. Macmillan.
Pack, D. C. & Evans, W. M. 1951 Penetration by high velocity jets.. Proc. Phys. Soc. Lond. B 64, 298302.Google Scholar
Ravid, M., Bodner, S. R. & Holcman, I. 1987 Analysis of very high speed impact. Intl J. Engng Sci. 25, 473482.Google Scholar
Tate, A. 1967 A theory for the deceleration of long rods after impact. J. Mech. Phys. Solids 15, 387399.Google Scholar
Tate, A. 1986 Long rod penetration models — part II. Extensions to the hydrodynamic theory of penetration. Intl J. Mech. Sci. 28, 599612.Google Scholar