The microstructural effects of non-uniform composite microstructures a
re modeled. Relationships are observed between the degree of non-unifo
rmity and fiber spatial information which may be measured via image an
alysis or derived from Dirichlet cell tessellations. For artifical pat
terns containing chain-like clustering which simulate composite micros
tructures: (a) the nearest-neighbor distances of random and clustered
patterns are smaller than those normally estimated by square or hexago
nal arrays, (b) increased clustering may be associated with increased
mean cell volume fraction, cell volume fraction distribution standard
deviation, number of cell sides, distribution standard deviation, near
est-neighbor distance distribution skewness, and decreased nearest-nei
ghbor distances and (c) accounting for non-uniform fiber diameters is
generally unnecessary, except possibly at low fiber volume fraction or
with patterns exhibiting a high degree of chaining. For Nicalon SiC/z
irconia titanate composite samples with microstructures which exhibit
clustering, the maximum value of skewness, determined from sub-regions
of the sample, correlates with the flexure strength of that sample.