Coupling of a multi-GPU accelerated elasto-visco-plastic fast Fourier transform constitutive model with the implicit finite element method

•Models at grain-level, microstructural cell-level, and component-level are linked into a multi-level modeling framework.•The widely-used elasto-visco-plastic fast Fourier transform model is implemented in Abaqus standard.•Constitutive response at each integration point is that of the elasto-visco-plastic microstructural cell, which evolves with strain.•The implementation is a high-performance parallel computing with CPUs at the mesh-level and GPUs at the microstructure-level.•Several benchmark and application case studies are used to illustrate potential and versatility of the multi-level approach.