Analysis of local orientation gradients in deformed single crystals.

Grain fragmentation and local orientation gradients in deformed single crystals are characterized using electron backscatter diffraction (EBSD) to obtain statistically reliable information. Interrogation of the dislocation substructure is accomplished by extracting information gleaned from small point-to-point misorientations as measured by EBSD. Along with an estimate of the geometrically necessary dislocation (GND) content, the point-to-point deviation from an average grain orientation is described by an orientation difference vector defined in Rodrigues space. Mapping of parameters such as GND, and divergence and gradient fields created from analysis of the difference vectors provide an alternative approach to obtain quantitative information and images from EBSD data.