Pile-up of dissociated dislocations and the strength-grain size relationship
- 1 January 1969
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine
- Vol. 19 (157) , 189-198
- https://doi.org/10.1080/14786436908217773
Abstract
The equilibrium positions of all the partial dislocations in a pile-up of dissociated dislocations are calculated numerically. As expected, the equilibrium width of the stacking fault varies along the length of the pile-up-being smaller near the tip than farther away from the tip. However, the stress concentration at the tip is found independent of the stacking-fault energy and so is the Hall-Petch slope. The observed effect of stacking-fault energy on the Hall-Petch slope reported by Ku, McEvily, and Johnston is interpreted by suggesting that the pile-up model is only applicable in the range of low stacking-fault energy. In the range of high stacking-fault energy, a forest model of yielding seems more appropriate.Keywords
This publication has 8 references indexed in Scilit:
- DISLOCATION PILEUPS AND THE HALL–PETCH RELATIONCanadian Journal of Physics, 1967
- Role of Grain Boundaries in the Discontinuous Yielding of Low-Carbon SteelsMetal Science Journal, 1967
- Observations of dislocations in high angle boundaries in tungstenActa Metallurgica, 1966
- Grain boundary topography in tungstenPhilosophical Magazine, 1964
- Linear Dislocations in Nonuniform Stress FieldsJournal of Applied Physics, 1962
- The plastic deformation of polycrystalline aggregatesPhilosophical Magazine, 1962
- Energy of a Crossed Grid of Screw DislocationsJournal of Applied Physics, 1961
- The Deformation and Ageing of Mild Steel: III Discussion of ResultsProceedings of the Physical Society. Section B, 1951