A new model was developed for the evolution of a geometrically necessary boundary between 2 crystallites under multiple-slip conditions. This model took account of the crystal plasticity of each cell block, by using a Taylor-Bishop-Hill approach, and led to a dynamic accommodation of the boundary disorientation via dislocation arrays. In particular, the optimum dislocation configuration of the geometrically necessary boundaries was obtained by minimizing the sub-boundary energy within the range of conditions that was imposed by the slip-system kinematics. When applied to the plane-strain compression of face-centered cubic crystals, the model showed that the geometrically necessary boundary dislocation lattice was very sensitive to the initial grain orientation. Stable texture components such as {110}<112> or {123}<634> led to the lowest dislocation densities. The strain path, and the relative positions of the misorientation axis and boundary-plane normal, also had an effect upon the final dislocation structure, but to a smaller extent.

Modelling the Evolution of Geometrically Necessary Boundaries at Large Plastic Strains. F.Basson, J.H.Driver: Materials Science and Engineering A, 1998, 256[1-2], 243-55