Engineering Transactions, 55, 4, pp. 335–344, 2007

Normal Penetration of the Rigid Penetrator Into Elastic-Plastic Half-Space With Viscosity

Military University of Technology Faculty of Mechatronic

The analytical closed-form solution of the normal penetration problem of a rigid core
(penetrator) of a jacket-bullet into elastic-plastic half-space (thick target) is presented in this
paper. The cohesive resistance of the target, frictional effects, and acceleration of the target
material in the neghbourhood of the penetrator (virtual mass effect) is taken into consideration.
On the basis of the derived closed analytical formulae, influence of these parameters on the
penetration depth may be investigated. Among other things, it appears from calculations that
the boundary penetration depth is intensivly reduced by the force of viscous friction.
Moreover, the mean value of the coefficient of viscous friction (¹) for a given penetratortarget
system may be determined. For this purpose it is necessary to define experimentally the
penetration depth hk at a given impact velocity.
Keywords: terminal ballistics, normal penetration, jacket-bullet, rigid penetrator
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