Optimization of 3D sharp high speed impactors with given form of a lon
gitudinal contour, length, and volume, penetrating into layered ductil
e targets, both for conical and thin non-conical strikers using approx
imate models is studied. It is found that the impactor with the minimu
m drag moving in a homogenous target with a constant velocity penetrat
es to the maximal depth into a semi-infinite target and has the minima
l ballistic limit when it penetrates into a finite thickness target, r
egardless of the distribution of the material properties of the target
along its depth, the number of the layers, etc. Using the analogy wit
h the hypersonic flow over the flying projectiles it is predicted that
the optimal impactor should have a star-shaped form of the cross sect
ion. If an impactor has a polygonal cross sections allowing the inscri
bed circles, the ballistic limit and maximum depth of penetration are
independent not only of the properties of the target but also of the f
orm of the polygon in the cross section and equal to the corresponding
values for the inscribed body of revolution. (C) 1997 Elsevier Scienc
e B.V.