A review of FE-FFT-based two-scale methods for computational modeling of microstructure evolution and macroscopic material behavior

C Gierden, J Kochmann, J Waimann… - … Methods in Engineering, 2022 - Springer
The overall, macroscopic constitutive behavior of most materials of technological importance
such as fiber-reinforced composites or polycrystals is very much influenced by the …

Efficient two-scale FE-FFT-based mechanical process simulation of elasto-viscoplastic polycrystals at finite strains

C Gierden, J Kochmann, J Waimann… - Computer Methods in …, 2021 - Elsevier
The purpose of this work is the development of an efficient two-scale numerical scheme for
the prediction of the local and overall mechanical behavior of polycrystalline materials with …

A geometrically adapted reduced set of frequencies for a FFT-based microstructure simulation

C Gierden, J Waimann, B Svendsen… - Computer Methods in …, 2021 - Elsevier
We present a modified model order reduction (MOR) technique for the FFT-based simulation
of composite microstructures. It utilizes the earlier introduced MOR technique (Kochmann et …

Microstructure simulation using self‐consistent clustering analysis

J Waimann, C Gierden, A Schmidt, B Svendsen… - PAMM, 2021 - Wiley Online Library
To capture all the individual microstructural effects of complex and heterogeneous materials
in structural finite element simulations, a two‐scale simulation approach is necessary. Since …