Abstract
In materials that exhibit strain softening due to dislocation multiplication and/or glide-induced destruction of dislocation obstacles, pronounced slip localization may be observed. Plastic deformation after yield is characterized by a coarse and inhomogeneoiis slip pattern. In the present work a statistical model of the microstructural evolution during strain softening is formulated. Both multiplication softening and structural softening due to obstacle destruction are taken into account. The interplay between strain softening, slip localization and the formation of an inhomogeneous microstructure is studied. It is demonstrated that multiplication softening leads to transient slip heterogeneities only, while structural softening gives rise to a more permanent localization of slip which manifests itself through the formation of obstacle-free slip channels within a microstructure of initially high obstacle density.
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