The formation and evolution of persistent slip bands (PSB) in metals under
fatigue is investigated. The metal is considered as an active medium of the
activator-inhibitor type where the immobile dislocations play the role of
the activator while the mobile ones that of the inhibitor. Persistent slip
band formation is regarded as a result of spontaneous formation and evoluti
on of localized dissipative structures in the form of solitary static regio
ns. Analytical results for the wavelength of the pattern and the dislocatio
n densities are obtained far from the bifurcation point, It is shown that t
he wavelength of the PSB pattern lies between two extreme values defined by
the material properties and the excitation level. The obtained results are
discussed and compared with available experimental observations, (C) 2000
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