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Exact Positions Occupied by Dislocations in a Planar Array

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1 Author(s)
Smith, E. ; Department of Metallurgy, University of Manchester, Manchester, England

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For a very restricted range of situations, earlier work has shown that the exact equilibrium positions of discrete dislocations in a planar array may be obtained analytically, in the sense that they are given by the zeros of classic polynomial functions satisfying certain second‐order differential equations; at the same time analytic expressions have been derived for the stresses acting on obstacle dislocations. This paper explores the various models that evolve as a consequence of applying an appropriate coordinate transformation to the most general situation hitherto considered, and the range of application of the analytical approach is thereby extended.

Published in:

Journal of Applied Physics  (Volume:42 ,  Issue: 7 )

Date of Publication:

Jun 1971

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