Numerical simulation of deformation induced anisotropy of polycrystals

Aspects of the homogenization problem for polycrystalline materials using finite element based representative volume elements (RVE) are discussed, Special attention is paid to the boundary conditions and the representation of initially isotropic states with limited numbers of grains, The RVE is used for simulations of shear tests with aluminium specimens as reported by Williams [O.W. Williams, Shear textures in copper, brass, aluminium, iron and zirconium, Trans. Met. Soc. AIME 224 (1962) 129-139.], On the grain level, slip system theory, combining anisotropic elasticity with a viscoplastic flow rule, is used. The resulting texture is represented in the Rodrigues space and by pole figures. initial and subsequent yield surfaces are investigated using different yield criteria. (C) 1997 Elsevier Science B.V.