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Abstract In general, the overall macroscopic material behavior of any structural component is directly dependent on its underlying microstructure. For metal components, the associated microstructure is given in terms of a polycrystal. To enable the simulation of the related microstructural and overall elasto-viscoplastic material behavior, a two-scale simulation approach can be used. In this context, we use a FE-FFT-based two-scale method, which is an efficient alternative to the classical FE2 method for the simulation of periodic microstructures. In addition, we consider a thermomechanically coupled framework to account for both thermal and mechanical loads. Finally, we incorporate a model order reduction technique based on a coarsely discretized microstructure to develop an efficient two-scale simulation technique. As a demonstration of the feasibility of the proposed simulation framework, a numerical example will be investigated.