Computational modeling of FCC deformation textures over Rodrigues' space

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. Ar a result, interpretation is straightforward, allowing insight into the structures of and relationships between the range of ideal texture components and orientation fibers encountered. (C) 2000 Acta Metallurgica Inc. Published by Elsevier Science Lid. All rights reserved.