A comparison of viscoplastic intermediate approaches for deformation texture evolution in face-centered cubic polycrystals

We present a comparison between two intermediate viscoplastic approaches: the self-consistent approach and the ϕ-model for the texture development in face-centered cubic polycrystals. In these models, the interactions between a grain and its surroundings are taken into account in different ways. We performed different tests to simulate axisymmetric tension/compression and plane-strain compression for different values of the parameter ϕ and for different formulations of the self-consistent model. Predicted results (stress–strain, texture, slip activity, local stress and strain rate deviations) are compared and conclusions are drawn. The ϕ-model allows for fairly good predictions, in comparison to existing experimental results, while it is much easier to formulate and to implement numerically. The ϕ-model is also able to predict texture transition from the copper type to the brass type. Using the same boundary conditions and spherical grains, the self-consistent model is unable to predict this texture transition and only a copper type texture is obtained.