Evolution of texture in aggregates of crystals exhibiting both slip and twinning

A methodology is presented for computing the deformation texture of polycrystalline metals that exhibit both crystallographic slip and mechanical twinning. Texturing is calculated by integrating a conservation equation for the orientation distribution function cast over an angle-axis parametrization of orientations. Textures presented with and without twinning are computed for plane strain compression for both face-centred cubic and hexagonal close-packed materials. A new criterion for the termination of twinning is introduced which is based on the probability of different twin lamellae coexisting in the same single crystal without intersecting. Texture predictions, together with the computed volume fractions of twins, are compared to experimental data reported in the literature.