Spectral calibration of crystal plasticity models

A new and improved spectral framework are presented to capture efficiently the predictions for the stresses, the lattice spins, and the strain hardening rates in individual crystals from the currently used crystal plasticity models as a function of the crystal lattice orientation. The proposed methodology has been successfully applied to two classes of crystal plasticity models that incorporate very different types of interactions between the individual crystals in the polycrystal. The models used in this study include: (1) a Taylor-type fully constrained model; and (2) a micromechanical finite element crystal plasticity model where each crystal is assumed to experience an average interaction with all other crystals in the polycrystal. Although the proposed method requires a one-time high computational cost in evaluating the relevant Fourier coefficients, it is expected to result in dramatic savings in computational time and effort in all subsequent computations.