Dislocation group dynamics V. Equilibrium revisited
- 1 March 1973
- journal article
- research article
- Published by Taylor & Francis in Philosophical Magazine
- Vol. 27 (3) , 519-530
- https://doi.org/10.1080/14786437308219228
Abstract
The equilibrium of a dislocation distribution is considered for the case where the applied stress field is a rational function. A function of a complex variable is introduced and it is shown that for equilibrium this function satisfies a quadratic equation. The stress field of the distribution and the distribution itself are different aspects of this complex function and are determined together. The known prevalence of square roots in distributions is a consequence of finding the roots of the quadratic equation. The connection between this complex representation of equilibrium and that used in Part IV for dislocation dynamics is discussed.Keywords
This publication has 5 references indexed in Scilit:
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- 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
- The Distribution of Dislocations in Linear ArraysAustralian Journal of Physics, 1955