Kr. Housen et Rm. Schmidt, WHIPPLE SHIELDS CHARACTERIZED BY A NONDIMENSIONAL GEOMETRY PARAMETER, Journal of spacecraft and rockets, 32(1), 1995, pp. 162-168
Impacts onto single-bumper (Whipple) shields were conducted using a te
chnique that allows simulation of aluminum impacts onto aluminum shiel
ds at velocities up to 21 km/s. The results provided information on ho
w the threshold impactor diameter for incipient perforation of the wal
l depends on the thickness b of the bumper, the thickness t of the spa
cecraft wall, and the spacing S between the bumper and the wall. Exper
iments were conducted to test a scaling prediction that these three va
riables are described by a single nondimensional parameter, pi(t) = tS
(2)/b(3), for aluminum impacts faster than 7 km/s. Experiments at simu
lated velocities near 10 and 17 km/s confirmed the prediction. Additio
nal tests revealed the effects of rr, on the ballistic limit curve, wh
ich expresses the threshold diameter for perforation as a function of
impact velocity, For velocities above about 10 km/s, the ballistic lim
it curve is nearly flat if pi(t) is less than a few thousand, and has
a positive slope for larger values. This result, which differs signifi
cantly from existing ballistic limit models, is believed to be due to
fractional vaporization of the impactor and bumper at high velocities.
An empirical expression was developed that can be used to calculate t
he threshold impactor diameter as a function of t, S, and b for impact
velocities up to 18 km/s.