Confinement-deconfinement transitions in a model of interacting dislocations
- 1 April 1986
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 33 (7) , 5157-5160
- https://doi.org/10.1103/physrevb.33.5157
Abstract
An exact solution is found for the equilibrium dislocation distribution in a continuum model of interacting parallel dislocations moving in a common slip plane, under an external shear σ and a realistic internal stress barrier that is finite everywhere on the slip plane. As functions of σ and the total populations, we find regions of two-component confinement (a compact distribution of dislocations of both signs), stable single-component confinement, and breakaway. Stability properties are summarized and critical lines on the bifurcation surface are identified.Keywords
This publication has 12 references indexed in Scilit:
- Dislocation group dynamics VI. The release of a pile-upPhilosophical Magazine, 1973
- Dislocation group dynamics V. Equilibrium revisitedPhilosophical Magazine, 1973
- Dislocation group dynamics IV. General solutions of the continuum approximationPhilosophical Magazine, 1973
- Dislocation group dynamics III. similarity solutions of the continuum approximationPhilosophical Magazine, 1972
- Dislocation group dynamics II. general solutions of the n-body problemPhilosophical Magazine, 1972
- Dislocation group dynamics I. similarity solutions of the n-body problemPhilosophical Magazine, 1972
- A continuous distribution of moving dislocationsPhilosophical Magazine, 1971
- XLI. The equilibrium of linear arrays of dislocations.Journal of Computers in Education, 1951
- Verteilung von Versetzungen im statischen GleichgewichtThe European Physical Journal A, 1951
- The Forces Exerted on Dislocations and the Stress Fields Produced by ThemPhysical Review B, 1950