Computation of deformation textures in copper with equilibrium in small grain neighbourhoods

The homogenization problem for polycrystalline materials is discussed with copper as an example. Crystallographic slip theory, anisotropic elasticity and a viscoplastic flow rule are used on the crystallite level. A representative volume element is modeled by finite elements and the resulting texture is compared to the elastic–plastic Taylor–Lin model and a second finite element model that restricts equilibrium to a small grain neighbourhood and tests reported by Bronkhorst et al. [Phil. Trans. R. Soc. Lond. A 341 (1992) 443]. The applicability of the last variant is also demonstrated by the decreasing deviations from stress equilibrium.