We present a theoretical investigation of damage development in Ceramic Mat
rix Composites (CMC's) before catastrophic failure under gradual loading co
nditions. The aim of the work is to give a theoretical interpretation of th
e experimental results on the development of damage in the C/C-SiC composit
e obtained by cyclically loading, unloading, and reloading a planar specime
n. Our approach is based on statistical, micromechanical models of the fail
ure of CMC's in the framework of global load sharing, where the failure mec
hanism includes quasi-periodic matrix cracking, gradual breaking of fibers,
and sliding of broken fibers with respect to the matrix. It is demonstrate
d that the non-linear characteristics of the constitutive behavior and the
potential drop measured under uniaxial loading of a planar C/C-SiC specimen
can be described with reasonable accuracy in the framework of statistical,
micromechanical models. (C) 2000 Kluwer Academic Publishers.