It has been observed that the pattern of particle impact breakage in two-di
mensional systems is a result of two mechanisms. "Mechanism I" accounts for
the breakage induced by the stresses that appear in unbroken particles, "M
echanism II" breakage is due to the buckling of the Mechanism I fragments.
The purpose of this paper is to try and understand the parameters that gove
rn the magnitude of the breakage induced by the various mechanisms-in parti
cular, to understand the specific effects of impact velocity on the size di
stribution. To that end, a dimensionless parameter that governs the magnitu
de of the breakage induced by Mechanism I in both two and three dimensions
is developed. The two-dimensional analysis demonstrates a velocity dependen
ce for the Mechanism I breakage that accounts for the observed velocity eff
ect on the generated size distributions. However, the three-dimensional ana
lysis demonstrates no such velocity effect. Both findings are supported by
simulation results. (C) 2001 Elsevier Science B.V. All rights reserved.