An approach developed previously was 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 were located with sufficient accuracy that the stress distribution at the interface could be evaluated by a simple computational procedure. Such a prediction was impossible using a conventional continuum dislocation theory.

Asymptotics of Edge Dislocation Pile-Up Against a Bimetallic Interface. R.E.Voskoboinikov, S.J.Chapman, J.B.Mcleod, J.R.Ockendon: Mathematics and Mechanics of Solids, 2009, 14[1-2], 284-95