Theoretical analyses for the single fibre pull-out an push-out models
under monotonic loading are given which are based on a shear-lag analy
sis in a fracture mechanics approach considering non-constant friction
at the debonded interface as a result of fibre Poisson contraction (o
r expansion). The solutions allow the determination of typical fibre/m
atrix interfacial properties such as the interfacial fracture toughnes
s, G(ic), the coefficient of friction, mu, and the residual clamping s
tress, q0. Under cyclic loading the interfacial properties are expecte
d to degrade as a result of repetitive abrasion, and a power law funct
ion is assumed between mu and the number of elapsed cycles, N. However
, G(ic) is assumed to be unaffected and a fracture mechanics based deb
ond criterion is derived for the relationship between the external app
lied stress, the debond length and the reduced friction coefficient fo
r both fibre pull-out and fibre push-out. In addition, the relative di
splacements between the free fibre end and the matrix top are obtained
for cyclic fatigue when the fibre is loaded and unloaded. A relations
hip obtained for the protrusion (or intrusion) length in fibre pull-ou
t (or push-out) experiments allows the severity of the interface frict
ional degradation to be evaluated and characterised. Similarities and
differences in the frictional degradation behaviour between fibre pull
-out and push-out are also identified.