Continuum and discrete models of dislocation pile-ups. II. Pile-up of screw dislocations at the interface in a bimetallic solid |
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| Authors: | R. E. Voskoboinikov S. J. Chapman J. R. Ockendon |
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| Affiliation: | 1. Oxford Centre for Industrial and Applied Mathematics Mathematical Institute , 24–29 St. Giles, Oxford, OX1 3LB rv247@cam.ac.uk;3. Oxford Centre for Industrial and Applied Mathematics Mathematical Institute , 24–29 St. Giles, Oxford, OX1 3LB |
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| Abstract: | The methodology developed in the precursor to this paper is used to find the positions of n screw dislocations in a pile-up against an interface bonding two crystalline solids. The pile-up is caused by a constant applied stress and, as n →∞, the dislocations are located with sufficient accuracy to predict the large but finite stress distribution at the interface. Such a prediction is impossible using a conventional continuum dislocation density. |
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