F. Horz et al., DIMENSIONALLY SCALED PENETRATION EXPERIMENTS - ALUMINUM TARGETS AND GLASS PROJECTILES 50 MU-M TO 3.2-MM IN DIAMETER, International journal of impact engineering, 15(3), 1994, pp. 257-280
Spherical soda-lime glass projectiles 50, 150, 1000 and 3175 mum in di
ameter (D(p)) in aluminum targets (series 1100, ''annealed'') of varia
ble thickness T were used to determine how the penetration-hole diamet
er (D(h)) varied as a function of D(p)/T at a constant impact velocity
of 6 km/s. The target thickness ranged from infinite half-space geome
tries to 0.8 mum thick foils. Virtually identical morphologies charact
erize the penetration holes, no matter what projectile size, at equiva
lent D(p)/T conditions. The relative hole diameter (D(h)/D(p)) decreas
es systematically with increasing D(p)/T from D(h) congruent-to 4D(p)
for massive targets, to D(h) = D(p) for very thin foils. A modest depe
ndence on the absolute projectile size is observed; comparatively smal
l cracters, yet relatively large penetration holes are produced by the
smallest (50 mum) impactors. Nevertheless, linear dimensional scaling
seems suitable for first-order estimates of D(p) from the measurement
of D(h) and T on space-exposed surfaces. The projectile fragments and
the debris dislodged from the target were intercepted by witness plat
es that were located behind the target. The dispersion angle of this d
ebris cloud depends on the thickness of the target. In addition, milli
meter-sized impactors are collisionally fragmented with greater ease t
han small impactors. Furthermore, we observe that systematic changes i
n the specific energy of dislodged projectile and target material occu
r as a function of D(p)/T. While linear scaling of target and projecti
le dimensions is a useful framework to explain many observations and a
ssociated shock processes, we suggest that consideration of the absolu
te and relative shock-pulse duration in the projectile (t(p)) and targ
et (t(t)) may ultimately be the more useful approach. It implicitly ac
counts for all dimensions and, additionally, for specific impact veloc
ities and pertinent material properties, via equations-of-state, for t
he impacting pair.