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

Authors

Daniel Walgraef, Michigan Technological University
Elias C. Aifantis, Michigan Technological UniversityFollow

Document Type

Article

Publication Date

1985

Department

Department of Mechanical Engineering-Engineering Mechanics

Abstract

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.

Publisher's Statement

© 1985

Publication Title

International Journal of Engineering Science

Recommended Citation

Walgraef, D., & Aifantis, E. C. (1985). On the Formation and Stability of Dislocation Patterns-III: Three-dimensional Considerations. International Journal of Engineering Science, 23(12), 1365-1372. http://doi.org/10.1016/0020-7225(85)90115-6
Retrieved from: https://digitalcommons.mtu.edu/michigantech-p/5281