The intrinsic threshold behavior of fatigue cracks and the disappearance of
any cyclic plastic deformation below a threshold value can be understood b
y taking into account the discreteness of plasticity with recourse to discr
ete dislocation models. The aim of this paper is to document the progress i
n the discrete dislocation modelling within the past twenty years and the r
esulting increase in the understanding of fatigue cracks. The problems addr
essed are (1) the nature of the intrinsic fatigue threshold, (2) the influe
nce of microstructure and/or of the mean stress level on the crack tip defo
rmation and (3) the physical reason for the minimum striation spacing at sm
all stress intensity ranges. A particular purpose of this paper is to compa
re the different dislocation models proposed in the literature in order to
differentiate aspects of fatigue crack growth that do and do not depend on
modelling and on microstructural details.