Distribution of solute atoms round a moving dislocation

Cottrell and Jaswon [A.H. Cottrell, M.A. Jaswon, Proc. R. Soc. Lond. A 199 (1949) 104–114] gave the detailed theory of the distribution of solute atoms which interact weakly with a slowly gliding dislocation. Without giving complete solutions, we show how the analysis can be modified to treat a climbing dislocation. As already indicated by Takeuchi and Argon [S. Takeuchi, A.S. Argon, Acta Metall. 24 (1976) 883–889], the results are similar for glide and for climb. Attention is also drawn to the case in which the interaction between the dislocation and a solute atom is large in comparison with thermal energies, and the solute atmosphere approximates a line of excess concentration rather than a concentration dipole. The dilatation-free stress field of this line of dilatation interacts with solute atoms which produce uniaxial strains.