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 …

A review on data-driven constitutive laws for solids

JN Fuhg, GA Padmanabha, N Bouklas… - arXiv preprint arXiv …, 2024 - arxiv.org
This review article highlights state-of-the-art data-driven techniques to discover, encode,
surrogate, or emulate constitutive laws that describe the path-independent and path …

FFT-based simulation using a reduced set of frequencies adapted to the underlying microstructure

C Gierden, J Waimann, B Svendsen… - Computer methods in …, 2021 - yadda.icm.edu.pl
Instead of the classical finite element (FE) based microstructure simulation, a Fast Fourier
transform (FFT) based microstructure simulation, introduced by Moulinec and Suquet (1994 …

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 …

Reduced FFT-based simulation of a mechanically loaded clustered microstructure using an adaptive set of Fourier modes

J Waimann, C Gierden, A Schmidt… - Key Engineering …, 2022 - Trans Tech Publ
Processes, such as deep rolling or induction hardening, have a remarkable influence on the
material properties within the surface layer of a work piece. Our overall goal is to develop …