Wa. Curtin et al., STRENGTH DISTRIBUTION OF CARBORUNDUM POLYCRYSTALLINE SIC FIBERS AS DERIVED FROM THE SINGLE-FIBER-COMPOSITE TEST, Journal of Materials Science, 29(18), 1994, pp. 4718-4728
The single-fibre-composite (s.f.c) test, in which a fibre is embedded
in an epoxy matrix and the composite tested in tension, was employed t
o obtain the statistical strength distribution of Carborundum SiC cera
mic fibres over the range of gauge lengths from 0.5 to 20 mm. The raw
s.f.c. test data was organized into three independent forms: the numbe
r of fibre breaks versus applied stress; the fibre fragment length dis
tribution at the end of the test; and the fibre strength versus fragme
nt length during testing. The data was interpreted using two different
models of the fibre/epoxy-matrix interface, and it was found that a c
onstant shear stress model could not self- consistently fit a II of th
e s.f.c. data, whereas an elastic interface model provided good fits t
o all of the data. The applicability of the elastic interface model wa
s supported by the absence of interfacial debonding and the rough fibr
e/matrix interface, which promoted mechanical interlocking. The s.f.c.
test derived strength of sigma(0) = 1500 MPa at a gauge length of 20
mm, with a Weibull modulus of m = 9, agreed fairly well with independe
nt tension test results obtained on 254 mm length samples. Obtaining s
elf-consistent fits to all of the manifestations of the s.f.c. data re
quires careful testing and analysis, but the present work demonstrates
that the s.f.c. test can be a powerful tool for the accurate and inde
pendent assessment of fibre strengths at small gauge lengths.