Multiple ledge and kink interactions
Abstract
Recently, high-resolution TEM was used by Howe et al. (1985, 1987) and others to suggest that both the lengthening and thickening of gamma-prime plates in an Al-4.2 at. pct Ag alloy occur by a terrace-ledge-kink mechanism where the limiting stage in the growth processes appears to be the substitutional diffusion of Ag atoms across kinks in the Shockley partial dislocation ledges that terminate in the Ag-rich A planes. Recent calculations of ledge and kink growth interactions, inspired by these observations, for trains of steps (kinks) moving in the same direction are generalized here to include situations where the steps are nucleated at arbitrary times and move toward each other. Comparisons are made with exact solutions in characteristic situations.
- Publication:
-
Proceedings of the Royal Society of London Series A
- Pub Date:
- May 1992
- DOI:
- 10.1098/rspa.1992.0072
- Bibcode:
- 1992RSPSA.437..451A
- Keywords:
-
- Aluminum Alloys;
- Crystal Dislocations;
- Crystal Growth;
- Differential Equations;
- Silver;
- Boundary Conditions;
- Diffusion Coefficient;
- Laplace Equation;
- Ledges;
- Structural Mechanics