Complex Potential Analysis of Screw Dislocation Arrays
- 1 June 1965
- journal article
- conference paper
- Published by AIP Publishing in Journal of Applied Physics
- Vol. 36 (6) , 1927-1933
- https://doi.org/10.1063/1.1714376
Abstract
Complex potential theory is utilized to analyze the mechanics of screw dislocations on arbitrary glide planes. An analogy with airfoil theory is shown to be useful. General procedures are given for calculating stress fields and distribution functions with the aid of conformal mapping. The theory is applied to several specific problems, including dislocations on a circular glide plane, on perpendicular intersecting glide planes, and on a glide plane within a thin film. Applications to dislocation pile-ups on neighboring glide planes are also given.This publication has 6 references indexed in Scilit:
- The distribution of dislocations in stacked linear arraysPhilosophical Magazine, 1963
- Linear Dislocations in Nonuniform Stress FieldsJournal of Applied Physics, 1962
- On the method of eshelby, frank and nabarro for calculating the equilibrium positions of dislocationsPhilosophical Magazine, 1962
- The Distribution of Dislocations in Linear ArraysAustralian Journal of Physics, 1955
- XLI. The equilibrium of linear arrays of dislocations.Journal of Computers in Education, 1951
- Verteilung von Versetzungen im statischen GleichgewichtThe European Physical Journal A, 1951