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 …

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 multiscale elasto-plastic damage model for the nonlinear behavior of 3D braided composites

C He, J Ge, D Qi, J Gao, Y Chen, J Liang… - Composites Science and …, 2019 - Elsevier
A multiscale elasto-plastic damage model is developed to predict the nonlinear behavior of
three-dimensional (3D) braided composites. In this model, the sequential multiscale method …

A FFT solver for variational phase-field modeling of brittle fracture

Y Chen, D Vasiukov, L Gélébart, CH Park - Computer Methods in Applied …, 2019 - Elsevier
The variational phase-field method is an attractive non-local approach of modeling fracture
in heterogeneous materials. However, these materials usually require a fine mesh to resolve …

Implementation and experimental validation of nonlocal damage in a large-strain elasto-viscoplastic FFT-based framework for predicting ductile fracture in 3D …

CK Cocke, H Mirmohammad, M Zecevic… - International Journal of …, 2023 - Elsevier
Ductile materials, such as metal alloys, can undergo substantial deformation before failure.
Additionally, these materials are usually of polycrystalline composition and exhibit strongly …

FFT-based solver for higher-order and multi-phase-field fracture models applied to strongly anisotropic brittle materials

R Ma, WC Sun - Computer methods in applied Mechanics and …, 2020 - Elsevier
This paper presents the application of a fast Fourier transform (FFT) based method to solve
two phase field models designed to simulate crack growth of strongly anisotropic materials …

A hybrid direct FE2 method for modeling of multiscale materials and structures with strain localization

K Liu, L Meng, A Zhao, Z Wang, L Chen, P Li - Computer Methods in …, 2023 - Elsevier
Strain localization is a common phenomenon existing in various multiscale materials or
structures, eg, the bulking bands of thin-walled structures, the local collapse of porous …

Progressive damage analysis of three-dimensional braided composites under flexural load by micro-CT and acoustic emission

P Zhang, W Zhou, H Yin, Y Shang - Composite Structures, 2019 - Elsevier
The effect of the load-bearing direction on the progressive bending damage of three-
dimensional (3D) five-directional braided composites remains to be further discussed. To …

A coupled FE-FFT multiscale method for progressive damage analysis of 3D braided composite beam under bending load

G Fang, B Wang, J Liang - Composites Science and Technology, 2019 - Elsevier
A more efficient multiscale coupling method is developed to study the progressive damage
behavior of three dimensional (3D) braided composite beam. In the mesoscale, the fast …

Uncertainty modelling and multiscale simulation of woven composite twisted structure

B Wang, G Fang, H Wang, J Liang, F Dai… - Composites Science and …, 2022 - Elsevier
The woven composite twisted structure under cantilever load is studied using experimental
and multiscale numerical methods. The uncertain geometry parameters inside the twisted …