D. Tripathi et al., A COMPREHENSIVE MODEL TO PREDICT THE STRESS-FIELDS IN A SINGLE-FIBER COMPOSITE, Journal of composite materials, 30(14), 1996, pp. 1514-1538
Recently, several studies have concluded that the variational method o
f Nairn is the best among the available analytical models for predicti
ng the stress fields in and around an isolated short fibre embedded in
a polymer matrix. However, the variational method is not exact and ha
s several limitations for its application as a data reduction tool for
the fragmentation test. The main limitations of the variational model
arise because matrix plasticity, debonding and frictional effects whi
ch are observed during fragmentation cannot be included. A comprehensi
ve model, known as the plasticity effect model, has been developed whi
ch incorporates these aspects into the variational model. It has been
argued that the interfacial debonding and shear yielding of the matrix
can co-exist in a single fibre composite, thereby, requiring a three
zone stress transfer model which can predict the stresses in the bonde
d and debonded regions along with the shear yielded region of the matr
ix at and near the fibre-end. Thus, the plasticity effect model is an
improvement over the partial debonding model of Piggott which consider
s stress transfer in the bonded and debonded region; ignoring shear yi
elding of the matrix at the end of the fibre. The predictions of the p
lasticity effect model are compared with those from an elastic-plastic
finite element model. A glass fibre/epoxy system is used to evaluate
the features of the model. The plasticity effect model can be used to
analyse the results of laser Raman spectroscopy on single short or con
tinuous-fibre model composites and to develop a data reduction techniq
ue to measure fibre-matrix adhesion from the fragmentation test.