The dynamics of the crack growth process in a medium containing many initia
l defects is investigated through the time-dependent cluster size distribut
ion function using Monte Carlo simulations and scaling theory. Each initial
defect in a medium is assumed to have two crack tips like the Griffith cra
ck The effect of anisotropy of a medium on crack growth patterns is also st
udied. (C) 2000 Elsevier Science B.V. All rights reserved.