Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials

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Strain localization and damage in dual phase steels investigated by coupled in-situ deformation experiments and crystal plasticity simulations (2014, methodology): “To this end, a recently developed spectral solver is used in this study (Shanthraj et al., 2014).”
DAMASK – The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single crystal up to the component scale (2018, methodology): “The spectral solver variants included in DAMASK are based on the methods outlined in [57,76] for mechanical equilibrium (Eq.”
A virtual laboratory using high resolution crystal plasticity simulations to determine the initial yield surface for sheet metal forming operations (2016, methodology): “(16) at the FOURIER points, where the convolution operation is performed in the discrete FOURIER space associated with the grid used by the FFT. Shanthraj et al. (2015) compared three solution methods implemented in PETSc: the non-linear RICHARDSONmethod, the non-linear generalised minimum residual ”