A consistent discretization via the finite radon transform for FFT-based computational micromechanics

L Jabs, M Schneider - Computational Mechanics, 2024 - Springer
This work explores connections between FFT-based computational micromechanics and a
homogenization approach based on the finite Radon transform introduced by Derraz and co …

A monolithic hyper ROM FE2 method with clustered training at finite deformations

N Lange, G Hütter, B Kiefer - Computer Methods in Applied Mechanics and …, 2024 - Elsevier
The usage of numerical homogenization to obtain structure–property relations by applying
the finite element method at both the micro-and macroscale has gained much interest in the …

Efficient thermomechanically coupled FE‐FFT‐based multiscale simulation of polycrystals

C Gierden, A Schmidt, J Waimann, B Svendsen… - PAMM, 2023 - Wiley Online Library
In general, the overall macroscopic material behavior of any structural component is directly
dependent on its underlying microstructure. For metal components, the associated …

FFT‐based simulation of evolving microstructures utilizing an adapting reduced set of Fourier modes

C Gierden, J Waimann, B Svendsen, S Reese - PAMM, 2023 - Wiley Online Library
The mechanical behavior of a periodic heterogeneous microstructure may be predicted by
using a fast Fourier transform (FFT) based simulation approach. To reduce the …