Dislocation group dynamics IV. General solutions of the continuum approximation
- 1 March 1973
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine
- Vol. 27 (3) , 505-517
- https://doi.org/10.1080/14786437308219227
Abstract
The general motion of a dislocation distribution is considered for the case where the individual dislocations follow a linear stress—velocity law. A function of a complex variable is introduced and it is shown that the dislocation motion corresponds to the flow of this function along characteristics in the complex plane. For screw dislocations the stress field of the distribution and the distribution itself are different aspects of the same function and are determined together. It is shown that this complex representation is fully determined for an applied stress field which is a constant, a linear, or a quadratic function of position and the extention of this method to other stress fields is discussed.Keywords
This publication has 4 references indexed in Scilit:
- Dislocation group dynamics III. similarity solutions of the continuum approximationPhilosophical Magazine, 1972
- Dislocation group dynamics II. general solutions of the n-body problemPhilosophical Magazine, 1972
- Dislocation group dynamics I. similarity solutions of the n-body problemPhilosophical Magazine, 1972
- On the method of eshelby, frank and nabarro for calculating the equilibrium positions of dislocationsPhilosophical Magazine, 1962