Microcracking near a crack tip in a material with microinhomogeneity is reg
arded as a stochastic process. Both the critical deformation energy density
and minimum ligament size of a structural element at global failure are re
lated to a fracture resistance parameter which depends also on the strength
. This parameter is also known as the critical energy density factor. For c
omposites it is shown that transition of material behaviour from one struct
ural state to another could alter the fracture resistance depending on char
acter of the critical defect size and strength. The theoretical result is s
hown to be in agreement with the experimental data. (C) 1999 Elsevier Scien
ce B.V. All rights reserved.