Abstract
The nucleation of slip localization in persistent slip bands (PSBs) is examined by means of a phenomenological model of slip patterning in fatigued metals. Including both stochastic and gradient terms into a single model an improved description of matrix-PSB patterns developed. Such a description can give access to the problem of PSB nucleation and to random aspects of spatial patterns in general. Nucleation rates for the dynamics of strain localization, which governed by the random aspects of the non-linear behavior in the saturation stress vs local strain amplitude graph and the existence of an internal length scale associated with dynamical dislocation interactions, are derived. This allows the determination of the external stress relaxation under constant strain amplitude and the reconstruction of the cyclic stress-strain curves during plateau while the internal length scale considered allows the determination of the spatial characteristics of width and spacing of the persistent slip bands.
Published Version
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