A review of nonlinear FFT-based computational homogenization methods

M Schneider - Acta Mechanica, 2021 - Springer
Since their inception, computational homogenization methods based on the fast Fourier
transform (FFT) have grown in popularity, establishing themselves as a powerful tool …

[HTML][HTML] Ferroelectric polycrystals: Structural and microstructural levers for property-engineering via domain-wall dynamics

J Schultheiß, G Picht, J Wang, YA Genenko… - Progress In Materials …, 2023 - Elsevier
Ferroelectrics have a spontaneous electrical polarization that is arranged into domains and
can be reversed by an externally-applied field. This high versatility makes them useful in …

[HTML][HTML] DAMASK–The Düsseldorf Advanced Material Simulation Kit for modeling multi-physics crystal plasticity, thermal, and damage phenomena from the single …

F Roters, M Diehl, P Shanthraj, P Eisenlohr… - Computational Materials …, 2019 - Elsevier
Crystal Plasticity (CP) modeling is a powerful and well established computational materials
science tool to investigate mechanical structure–property relations in crystalline materials. It …

FFT based approaches in micromechanics: fundamentals, methods and applications

S Lucarini, MV Upadhyay… - Modelling and Simulation …, 2021 - iopscience.iop.org
FFT methods have become a fundamental tool in computational micromechanics since they
were first proposed in 1994 by Moulinec and Suquet for the homogenization of composites …

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 …

Understanding, predicting, and designing ferroelectric domain structures and switching guided by the phase-field method

JJ Wang, B Wang, LQ Chen - Annual Review of Materials …, 2019 - annualreviews.org
Understanding mesoscale ferroelectric domain structures and their switching behavior
under external fields is critical to applications of ferroelectrics. The phase-field method has …

A learning-based multiscale method and its application to inelastic impact problems

B Liu, N Kovachki, Z Li, K Azizzadenesheli… - Journal of the …, 2022 - Elsevier
The macroscopic properties of materials that we observe and exploit in engineering
application result from complex interactions between physics at multiple length and time …

Multiscale modeling of materials: Computing, data science, uncertainty and goal-oriented optimization

N Kovachki, B Liu, X Sun, H Zhou, K Bhattacharya… - Mechanics of …, 2022 - Elsevier
The recent decades have seen various attempts at accelerating the process of developing
materials targeted towards specific applications. The performance required for a particular …

[HTML][HTML] Evaluation of computational homogenization methods for the prediction of mechanical properties of additively manufactured metal parts

NG March, DR Gunasegaram, AB Murphy - Additive Manufacturing, 2023 - Elsevier
It is well known that the strongly location-dependent microstructures observed in metal parts
made using additive manufacturing (AM) processes differ from those found in components …

Efficient and accurate two-scale FE-FFT-based prediction of the effective material behavior of elasto-viscoplastic polycrystals

J Kochmann, S Wulfinghoff, L Ehle, J Mayer… - Computational …, 2018 - Springer
Recently, two-scale FE-FFT-based methods (eg, Spahn et al. in Comput Methods Appl Mech
Eng 268: 871–883, 2014; Kochmann et al. in Comput Methods Appl Mech Eng 305: 89–110 …