The problem of simple shearing of a constrained thin crystalline strip posed was re-analyzed using a non-local continuum dislocation-based model of plastic deformation that accounts for the flexibility of curved dislocations carrying the plastic deformation. Attention was paid to the inhomogeneous profiles of plastic slip and lattice rotation as well as to the size-dependent material response of the strip in single slip and symmetrical double slip. Additional boundary conditions and an internal length scale with a clear physical interpretation appear quite naturally in the analysis.

Constrained Shearing of a Thin Crystalline Strip - Application of a Continuum Dislocation-Based Model. R.Sedláček, E.Werner: Physical Review B, 2004, 69[13], 134114 (12pp)