Hi Harterja
I'm still not convinced. The stress singularity is significantly smaller for a repaired crack which will grow as if it is a small crack, and hence with a smaller singularity than prior to repair. Secondly, adhesive fatigue requires high shear strains, and I am not convinced that the shear strains at the tip will be higher than at the centre of the crack.
However, even if we assume you are correct, the disbond produced would be of a consistent size, and hence the effect should still be relatively linear. The probable reason for the discrepancy between Ratwani's predictions and his own experimental results (which are linear) is as you state the removal of beta correction at a nominal crack size. Why? Removing the beta correction may be appropriate for modelling unrepaired cracks, but for repair cases, the crack will still be growing in the same manner as the same small crack, so any correction factor should not be arbitrarily removed. Maybe then his predictions would more accuratley match his experiments.
All of this discussion aside, it still is a valuable tool to provide a conservative estimate of crack growth at least in the short term. The errors only become significant for longer cracks.
Regards
blakmax