We investigate the use of cohesive theories of fracture, in conjunction wit
h the explicit resolution of the near-tip plastic fields and the enforcemen
t of closure as a contact constraint, for the purpose of fatigue-life predi
ction. An important characteristic of the cohesive laws considered here is
that they exhibit unloading-reloading hysteresis. This feature has the impo
rtant consequence of preventing shakedown and allowing for steady crack gro
wth. Our calculations demonstrate that the theory is capable of a unified t
reatment of long cracks under constant-amplitude loading, short cracks and
the effect of overloads, without ad hoc corrections or tuning.