On the Formation and Stability of Dislocation Patterns-III: Three-dimensional Considerations

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Department of Mechanical Engineering-Engineering Mechanics


A model is proposed to describe the occurrence of the vein structures and the nucleation of persistent slip bands in fatigued metals as a cooperative phenomenon of motion and interaction of dislocation populations. It is based on the competition between diffusive-like mobilities for random or stress induced dislocation motion and cubic-like non-linearities for the pinning of stress driven dislocations by immobile dipoles. It describes the coexistence of rod-like vein structures and ladder-like persistent slip bands in three dimensions, integrating the qualitative picture of pattern formation in one and two dimensions given earlier in Parts I and II.

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© 1985

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International Journal of Engineering Science