SUMMARYWe study efficient numerical implementations of crystal plasticity in the spectral representation, with emphasis on high‐performance computational aspects of the simulation. For illustrative purposes, we apply this approach to a Taylor homogenization model of fcc poly‐crystalline materials and show that the spectral representation of crystal plasticity is ideal for parallel implementations aimed at next‐generation large‐scale microstructure‐sensitive simulations of material deformation. We find that multi‐thread parallelizations of the algorithm provide two orders of magnitude acceleration of the calculation, whereas graphics processing unit‐based computing solutions allow for three orders of magnitude speedup factors over the conventional model. Copyright © 2014 John Wiley & Sons, Ltd.
