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 …

FFT-based methods for the mechanics of composites: A general variational framework

S Brisard, L Dormieux - Computational Materials Science, 2010 - Elsevier
For more than a decade, numerical methods for periodic elasticity, based on the fast Fourier
transform, have been used successfully as alternatives to more conventional (fem, bem) …

A polarization‐based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast

V Monchiet, G Bonnet - International Journal for Numerical …, 2012 - Wiley Online Library
It is recognized that the convergence of FFT‐based iterative schemes used for computing
the effective properties of elastic composite materials drastically depends on the contrast …

Computational homogenization of elasto-plastic porous metals

F Fritzen, S Forest, T Böhlke, D Kondo… - International journal of …, 2012 - Elsevier
The effective material response of ductile metals containing spherical pores at volume
fractions between 0.1% and 30% is investigated on a computational basis. Periodic hard …

[HTML][HTML] Void growth in ductile materials with realistic porous microstructures

AR Vishnu, G Vadillo, JA Rodríguez-Martínez - International Journal of …, 2023 - Elsevier
In this paper, we have investigated void growth in von Mises materials which contain
realistic porous microstructures. For that purpose, we have performed finite element …

Role of crystallographic orientation on intragranular void growth in polycrystalline FCC materials

PG Christodoulou, S Dancette, RA Lebensohn… - International Journal of …, 2021 - Elsevier
In this work, we study the effect of crystallographic orientation and applied triaxiality on the
growth of intragranular voids. Two 3D full-field micromechanics methods are used, the …

Two-stage data-driven homogenization for nonlinear solids using a reduced order model

F Fritzen, O Kunc - European Journal of Mechanics-A/Solids, 2018 - Elsevier
The nonlinear behavior of materials with three-dimensional microstructure is investigated
using a data-driven approach. The key innovation is the combination of two hierarchies of …

Homogenization using modified Mori-Tanaka and TFA framework for elastoplastic-viscoelastic-viscoplastic composites: Theory and numerical validation

M Barral, G Chatzigeorgiou, F Meraghni… - International Journal of …, 2020 - Elsevier
This study proposes a micromechanical model based on a modified multi-scale mean field
approach that predicts the overall behavior of long fiber reinforced elastoplastic and …

Void-growth computational analysis in elastic-plastic porous materials

R Bensaada, T Kanit, A Imad, M Almansba… - International Journal of …, 2022 - Elsevier
This study aims to model the effective mechanical response of highly porous materials using
computational homogenisation. A two-phase material is considered here in the form of a von …

Ductile fracture of materials with randomly distributed voids

C Cadet, J Besson, S Flouriot, S Forest… - International Journal of …, 2021 - Springer
A reliable determination of the onset of void coalescence is critical to the modelling of ductile
fracture. Numerical models have been developed but rely mostly on analyses on single …