Computational modeling of FCC deformation textures over Rodrigues' space

The application of novel tools for texture analysis to a systematic examina tion of f.c.c. deformation textures over Rodrigues' space is reported. Text ure is described using an orientation distribution function (ODF), describi ng the distribution of crystal orientations over a three-dimensional orient ation space. In contrast to existing ODF schemes based on series representa tions of the ODF, the tools proposed are based on a piecewise polynomial fi nite 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 de formation driven ODF evolution, together with the regularity of Rodrigues' space, lead to substantially simplified characterizations of widely examine d f.c.c. textures. Ar a result, interpretation is straightforward, allowing insight into the structures of and relationships between the range of idea l texture components and orientation fibers encountered. (C) 2000 Acta Meta llurgica Inc. Published by Elsevier Science Lid. All rights reserved.