Implicit scheme of RVE calculation for FCC polycrystals

Considering the coupling effect between the nodal force equilibrium and internal variables evolution, an implicit scheme of solving the non-linear FEM problem is presented to modelling the texture evolution and the anisotropic behaviour of polycrystals for large deformation. This algorithm is based on the isomorphism theory that the current elastic law can be achieved through transferring the reference elastic law by a plastic transformation. Different time steps have been adopted with respect to the global and local iteration systems and the consistent tangent module is also calculated to construct a high speed integration algorithm.