The dynamic fatigue fracture behaviour in different glasses under various s
ub-threshold loading conditions are analysed here employing an anomalous di
ffusion model. Critical dynamical behaviour in the time-to-fracture and the
growth of the micro-crack sizes, similar to that observed in such material
s in the case of quasi-static ("instantaneous") failures for above-threshol
d conditions, are predicted and compared with some of the experimental obse
rvations in different glasses.