On the optimal nose geometry for a rigid penetrator

Abstract

A variational formulation for the net force on the nose of a rigid projectile normally penetrating a compliant target is given. Frictional effects are negligible in this formulation. The variational problem is solved and the result compared to several popular nose geometries. For blunt tipped projectiles, the optimal geometry can signi®cantly enhance penetration by reducing the net force of resistance. For long penetrator noses, the effect has much less value. The most interesting conclusion is that all the optimal geometries have blunt tips.

Modelling and Accident Reconstruction of Head Impact Injuries

“…It is clear that the mechanics that arise during a given head impact event are difficult to define [28]. This is not surprising as the consequence of the mechanics, i.e.…”

Simulation of the development of frontal head impact injury

“…It is clear that the mechanics that arise during a given head impact event are difficult to define (Jones et al, 1998). This is not surprising as the consequence of the mechanics, i.e.…”

Shape optimization of high-speed penetrators: a review

“…The optimal shape was found to be determined by a single parameter that depends on the velocity, deceleration of the impactor and the properties of the medium. In the analytical studies [7][8][9][10][11][12] and numerical study [13] the shapes of the bodies with a minimum drag were determined using two-term localized interaction model (model using the notations specified below). Baranov and Lopa [14] and Baranov et al [15,16] minimized impactor drag force assuming that the normal stress at the surface of the penetrator is proportional to the normal component of the local velocity and neglecting friction.…”