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 …

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 …

Multiscale modelling of precipitation hardening in Al–Cu alloys: Dislocation dynamics simulations and experimental validation

R Santos-Güemes, B Bellón, G Esteban-Manzanares… - Acta Materialia, 2020 - Elsevier
The mechanisms of dislocation/precipitate interactions were analyzed in an Al–Cu alloy
containing a homogeneous dispersion of θ′ precipitates by means of discrete dislocation …

Computational homogenization of polycrystals

J Segurado, RA Lebensohn, J LLorca - Advances in Applied Mechanics, 2018 - Elsevier
This paper reviews the current state of the art in the simulation of the mechanical behavior of
polycrystalline materials by means of computational homogenization. The key ingredients of …

Spectral methods for full-field micromechanical modelling of polycrystalline materials

RA Lebensohn, AD Rollett - Computational Materials Science, 2020 - Elsevier
Modelling the mechanical behavior of polycrystalline materials based on their evolving
microstructure and the anisotropic properties of their constituent single crystal grains is …

Effect of slip transmission at grain boundaries in Al bicrystals

S Haouala, R Alizadeh, TR Bieler, J Segurado… - International Journal of …, 2020 - Elsevier
The effect of slip transfer on the deformation mechanisms of Al bicrystals was explored using
a rate-dependent dislocation-based crystal plasticity model. Three different types of grain …

New large-strain FFT-based formulation and its application to model strain localization in nano-metallic laminates and other strongly anisotropic crystalline materials

M Zecevic, RA Lebensohn, L Capolungo - Mechanics of Materials, 2022 - Elsevier
This paper presents a new robust large-strain (LS) elasto-viscoplastic (EVP) formulation
based on Fast Fourier Transforms (FFTs) for the prediction of the micro-mechanical …

Simulation of the Hall-Petch effect in FCC polycrystals by means of strain gradient crystal plasticity and FFT homogenization

S Haouala, S Lucarini, J LLorca, J Segurado - Journal of the Mechanics and …, 2020 - Elsevier
The influence of grain size on the flow stress of various FCC polycrystals (Cu, Al, Ag and Ni)
has been analyzed by means of computational homogenization of a representative volume …

[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 …