Simulation by periodic homogenization of the behavior of a polycrystalline material in large elastoplastic transformations

We present an approach based on periodic homogenization theory, in order to numerically study the anisotropy due to large elastic-plastic strains. This work presents a two levels finite element method to calculate an elastic-plastic polycristalline structure. The first level, at the scale of the structure, is classical, except that the constitutive material behavior in each integration point is numerically obtained by a second level of finite element calculations on a representative polycristalline basic cell made of several FCC single cristal with different orientations. A parallel numerical approach is also used