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Asymptotics of Edge Dislocation Pile-Up against a Bimetallic Interface

Rolls-Royce UTP, Department of Materials Science and Metallurgy, Pembroke Street, Cambridge, CB2 3QZ, UK

S.J. Chapman

Oxford Centre for Industrial and Applied Mathematics, Oxford, OX1 3LB, UK

J.B. Mcleod

Oxford Centre for Industrial and Applied Mathematics, Oxford, OX1 3LB, UK

J.R. Ockendon

Oxford Centre for Industrial and Applied Mathematics, Oxford, OX1 3LB, UK

The approach developed in preceding papers is extended to derive the equilibrium positions of n edge dislocations in a linear pile-up stressed by a constant applied loading against an interface in a bimetallic solid. As n , the dislocations in the inner region are located with sufficient accuracy that the stress distribution at the interface can be evaluated by a simple computational procedure. Such a prediction is impossible using a conventional continuum dislocation theory.

Key Words: dislocations • pile-up • stress • interface • bimetallic • asymptotic expansion • discrete • continuum

Mathematics and Mechanics of Solids, Vol. 14, No. 1-2, 284-295 (2009)
DOI: 10.1177/1081286508092616


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