Computational modeling of f.c.c. deformation textures over Rodrigues' space

Abstract The application of novel tools for texture analysis to a systematic examination of f.c.c. deformation textures over Rodrigues' space is reported. Texture is described using an orientation distribution function (ODF), describing the distribution of crystal orientations over a three-dimensional orientation space. In contrast to existing ODF schemes based on series representations of the ODF, the tools proposed are based on a piecewise polynomial finite element representation, permitting the application of existing finite element technology to quantitative texture analysis. Advantages of such an approach are evident in the following, where a finite element scheme for deformation driven ODF evolution, together with the regularity of Rodrigues' space, lead to substantially simplified characterizations of widely examined f.c.c. textures. As a result, interpretation is straightforward, allowing insight into the structures of and relationships between the range of ideal texture components and orientation fibers encountered.