Circular dislocation pile-ups
- 1 May 1967
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine
- Vol. 15 (137) , 1059-1063
- https://doi.org/10.1080/14786436708221653
Abstract
A model of concentric circular dislocation loops is used to examine the Hall-Petch relation. For a given critical stress concentration at the grain boundary, the Hall-Petch slope produced by this model is higher than that from either single or double-ended pile-ups of infinite straight dislocations. The minimum stress required to maintain a certain number of circular dislocations is compared with the stress necessary for the continuous distribution of these dislocations in a circular slip zone.Keywords
This publication has 7 references indexed in Scilit:
- The limiting grain size dependence of the strength of a polycrystalline aggregatePhilosophical Magazine, 1966
- Energy of hexagonal dislocation loopsPhysica Status Solidi (b), 1966
- The elastic energies of symmetrical dislocation loopsPhilosophical Magazine, 1965
- The elastic energy of a rhombus-shaped dislocation loopPhilosophical Magazine, 1964
- The Distribution of Dislocations in an Elliptical Glide ZonePhysica Status Solidi (b), 1963
- XLI. The equilibrium of linear arrays of dislocations.Journal of Computers in Education, 1951
- Note on a penny-shaped crack under shearMathematical Proceedings of the Cambridge Philosophical Society, 1951