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 and analysis of microwave absorption in polymer composites filled with carbonaceous particles

F Qin, C Brosseau - Journal of applied physics, 2012 - pubs.aip.org
Carbon (C) is a crucial material for many branches of modern technology. A growing number
of demanding applications in electronics and telecommunications rely on the unique …

Deep learning approaches for mining structure-property linkages in high contrast composites from simulation datasets

Z Yang, YC Yabansu, R Al-Bahrani, W Liao… - Computational Materials …, 2018 - Elsevier
Data-driven methods are emerging as an important toolset in the studies of multiscale,
multiphysics, materials phenomena. More specifically, data mining and machine learning …

An elasto-viscoplastic formulation based on fast Fourier transforms for the prediction of micromechanical fields in polycrystalline materials

RA Lebensohn, AK Kanjarla, P Eisenlohr - International Journal of …, 2012 - Elsevier
We present the infinitesimal-strain version of a formulation based on fast Fourier transforms
(FFT) for the prediction of micromechanical fields in polycrystals deforming in the elasto …

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 …

Multiscale methods for composites: a review

P Kanouté, DP Boso, JL Chaboche… - Archives of Computational …, 2009 - Springer
Various multiscale methods are reviewed in the context of modelling mechanical and
thermomechanical responses of composites. They are developed both at the material level …

Aspects of computational homogenization at finite deformations: a unifying review from Reuss' to Voigt's bound

S Saeb, P Steinmann, A Javili - Applied …, 2016 - asmedigitalcollection.asme.org
The objective of this contribution is to present a unifying review on strain-driven
computational homogenization at finite strains, thereby elaborating on computational …

Re-entrant auxetic lattices with enhanced stiffness: A numerical study

Z Chen, X Wu, YM Xie, Z Wang, S Zhou - International Journal of …, 2020 - Elsevier
Traditional auxetic lattices are featured with negative Poisson's ratio but weak stiffness. In
this work, a set of auxetic lattices with enhanced stiffness are proposed by adding a …

[HTML][HTML] Fourier-based schemes for computing the mechanical response of composites with accurate local fields

F Willot - Comptes Rendus Mécanique, 2015 - Elsevier
We modify the Green operator involved in Fourier-based computational schemes in
elasticity, in 2D and 3D. The new operator is derived by expressing continuum mechanics in …

N-site modeling of a 3D viscoplastic polycrystal using fast Fourier transform

RA Lebensohn - Acta materialia, 2001 - Elsevier
We present a formulation to compute the local response of elastic and viscoplastic
anisotropic 3D polycrystals based on the Fast Fourier Transform (FFT) algorithm. This …