An analysis of the single-fiber fragmentation test was investigated. An app
roximate solution for the stress fields of a fiber embedded in a polymer ma
trix of different elastic moduli was obtained by the Eshelby method. The fi
ber was modeled as a prolate spheroid. The axial stress of the fiber increa
ses with increasing aspect ratio and fiber-matrix shear modulus ratio and d
ecreases with increasing matrix and fiber Poisson's ratios. Using this anal
ysis, the fracture stress of a single-fiber fragmentation specimen was deri
ved. The applied stress at fiber fracture decreases monotonically with incr
easing aspect ratio of the fragmented fiber and increases with increasing f
iber and matrix Poisson's ratios. This model is in qualitative agreement wi
th published experimental data. (C) 1998 Kluwer Academic Publishers.