Constrained shearing of a thin crystalline strip: Application of a continuum dislocation-based model

The problem of simple shearing of a constrained thin crystalline strip posed by Shu et al. [J. Mech. Phys. Solids 49, 1361 (2001)] is reanalyzed using a nonlocal continuum dislocation-based model of plastic deformation that accounts for the flexibility of curved dislocations carrying the plastic deformation. Attention is 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 symmetric double slip. Additional boundary conditions and an internal length scale with a clear physical interpretation appear quite naturally in the analysis.