Modified self consistent model for time independent plasticity of polycrystalline material

Starting from the kinematics integral equation, which can be considered as a formal exact solution of the elasto-plastic homogenisation problem, a new version of the self consistent modelling is proposed. Three methods of act ive slip system selection are introduced and implemented in the self consis tent code. The predicted results as well as the calculation times are compared for dif ferent methods. The time of calculation strongly depends on the criterion u sed to select active systems. The ratio of five is found between the two ex treme results. The developed model allows one to determine the overall elas to-plastic properties of the polycrystalline material but also the internal structure evolution described in the model by the grain shape, crystallogr aphic lattice orientation, second order internal stresses and critical reso lved shear stress for all slip systems.