Estimation of the critical resolved shear stress for dislocation glide through a random mixture of distinct obstacles
- 1 June 1975
- journal article
- research article
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 46 (6) , 2378-2383
- https://doi.org/10.1063/1.321917
Abstract
Using techniques drawn from the statistical theory of branching processes, we approximate the critical resolved shear stress for the athermal planar glide of a dislocation, idealized as a flexible line of constant tension, through a random mixture of immobile point obstacles of distinct types. The approach simultaneously permits an estimate of the geometric properties of the particular obstacle configuration which determines the critical resolved shear stress. The estimates are shown to be in good agreement with empirical results obtained through direct computer simulation of glide through a random mixture of ’’strong’’ and ’’weak’’ points. A simple extension permits an estimate of the velocity of thermally activated glide through an array of mixed obstacle types at low temperature.This publication has 5 references indexed in Scilit:
- Limiting configuration in dislocation glide through a random array of point obstaclesJournal of Applied Physics, 1975
- Thermally activated dislocation glide through a random array of point obstacles: Computer simulationJournal of Applied Physics, 1974
- Point-obstacle representation of the dislocation-obstacle interactionJournal of Applied Physics, 1974
- The effect of dislocation self-interaction on the orowan stressPhilosophical Magazine, 1973
- Statistics of the thermally activated glide of a dislocation through a random array of point obstaclesJournal of Applied Physics, 1973