EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues Eur. Phys. J. AP, 6 1 (1999) 41-47 Article references

Articles citing this article

The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).

Cited article:

A tetrahedron-based discretization for FFT-based computational homogenization with smooth solution fields

A. Finel
Computer Methods in Applied Mechanics and Engineering 436 117703 (2025)
https://doi.org/10.1016/j.cma.2024.117703

FFT-based Galerkin and level-set methods for the homogenized evolution of domain nuclei in ferroelectrics

Hsu-Cheng Cheng, Lu Trong Khiem Nguyen and Dennis M. Kochmann
Computer Methods in Applied Mechanics and Engineering 443 118078 (2025)
https://doi.org/10.1016/j.cma.2025.118078

Multiscale Topology Optimization Applying FFT‐Based Homogenization

Masayoshi Matsui, Hiroya Hoshiba, Koji Nishiguchi, Hiroki Ogura and Junji Kato
International Journal for Numerical Methods in Engineering 126 (4) (2025)
https://doi.org/10.1002/nme.70009

A consistent discretization via the finite radon transform for FFT-based computational micromechanics

Lukas Jabs and Matti Schneider
Computational Mechanics 75 (5) 1451 (2025)
https://doi.org/10.1007/s00466-024-02542-9

Solving the problems of the conductivity of heterogeneous media by the method of the discrete Radon transform

Mustapha Boukour, Mohammed Rida Derraz, Anass El Mamouni and Abderrahim El Omri
Mathematics and Mechanics of Solids (2025)
https://doi.org/10.1177/10812865251336703

Determination of the thermophysical properties of hemp shives using a methodology combining X-ray nanotomography and FFT-based numerical simulation

W. Leclerc, N. Moudhaffar, DM. Nguyen, G. Promis, P. Perré and AD. Tran Le
International Journal of Heat and Mass Transfer 251 127331 (2025)
https://doi.org/10.1016/j.ijheatmasstransfer.2025.127331

A Discrete Sine‐Cosine Transforms Galerkin Method for the Conductivity of Heterogeneous Materials With Mixed Dirichlet/Neumann Boundary Conditions

Joseph Paux, Léo Morin and Lionel Gélébart
International Journal for Numerical Methods in Engineering 126 (1) (2025)
https://doi.org/10.1002/nme.7615

A discrete sine–cosine based method for the elasticity of heterogeneous materials with arbitrary boundary conditions

Joseph Paux, Léo Morin, Lionel Gélébart and Abdoul Magid Amadou Sanoko
Computer Methods in Applied Mechanics and Engineering 433 117488 (2025)
https://doi.org/10.1016/j.cma.2024.117488

A FFT-based numerical scheme for the transient conductivity of heterogeneous materials with non-periodic boundary conditions

Abdoul Magid Amadou Sanoko, Simon Essongue, Lionel Gélébart, Lucas Lapostolle, Léo Morin and Joseph Paux
European Journal of Mechanics - A/Solids 113 105680 (2025)
https://doi.org/10.1016/j.euromechsol.2025.105680

Computational homogenization of a physically-based crystal plasticity law for irradiated bainitic steels

Loïc Chaix, Mihail Gărăjeu, Martín I. Idiart, Ghiath Monnet and Pierre-Guy Vincent
Computational Materials Science 246 113316 (2025)
https://doi.org/10.1016/j.commatsci.2024.113316

Efficient thermo-mechanically coupled and geometrically nonlinear two-scale FE-FFT-based modeling of elasto-viscoplastic polycrystalline materials

Annika Schmidt, Christian Gierden, Rainer Fechte-Heinen, Stefanie Reese and Johanna Waimann
Computer Methods in Applied Mechanics and Engineering 435 117648 (2025)
https://doi.org/10.1016/j.cma.2024.117648

Fourier Transform Approach to Boundary Domain Integral Equations for Elastic Composites With Domain Decomposition and Multi Reference Parameters

Quy‐Dong To and Guy Bonnet
International Journal for Numerical Methods in Engineering 126 (1) (2025)
https://doi.org/10.1002/nme.7601

Convergence of Damped Polarization Schemes for the FFT‐Based Computational Homogenization of Inelastic Media With Pores

Elodie Donval and Matti Schneider
International Journal for Numerical Methods in Engineering 126 (3) (2025)
https://doi.org/10.1002/nme.7632

Investigation of creep behaviors in three-dimensional porous sintered silver by FFT homogenization

Shuaifeng Ma, Yanwei Dai and Yinghua Liu
International Journal of Mechanical Sciences 297-298 110275 (2025)
https://doi.org/10.1016/j.ijmecsci.2025.110275

Accelerated computational micromechanics for solute transport in porous media

Mina Karimi and Kaushik Bhattacharya
Computer Methods in Applied Mechanics and Engineering 426 116976 (2024)
https://doi.org/10.1016/j.cma.2024.116976

Adaptive material evaluation by stabilized octree and sandwich coarsening in FFT‐based computational micromechanics

Matthias Kabel and Matti Schneider
International Journal for Numerical Methods in Engineering 125 (5) (2024)
https://doi.org/10.1002/nme.7399

Numerical homogenization by an adaptive Fourier spectral method on non-uniform grids using optimal transport

Cédric Bellis and Renaud Ferrier
Computer Methods in Applied Mechanics and Engineering 419 116658 (2024)
https://doi.org/10.1016/j.cma.2023.116658

A fast numerical method for the conductivity of heterogeneous media with Dirichlet boundary conditions based on discrete sine–cosine transforms

Léo Morin and Joseph Paux
Computer Methods in Applied Mechanics and Engineering 421 116772 (2024)
https://doi.org/10.1016/j.cma.2024.116772

An FFT-based adaptive polarization method for infinitely contrasted media with guaranteed convergence

Karam Sab, Jérémy Bleyer, Sébastien Brisard and Martin Dolbeau
Computer Methods in Applied Mechanics and Engineering 427 117012 (2024)
https://doi.org/10.1016/j.cma.2024.117012

Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics

Lennart Risthaus and Matti Schneider
Computational Mechanics 74 (5) 1089 (2024)
https://doi.org/10.1007/s00466-024-02469-1

FFT‐based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid

Lennart Risthaus and Matti Schneider
International Journal for Numerical Methods in Engineering (2024)
https://doi.org/10.1002/nme.7569

Dirichlet Boundary Conditions for FFT‐Based Micromechanics of Bicontinuous Stochastic Microstructures

Lennart Risthaus and Matti Schneider
PAMM 24 (4) (2024)
https://doi.org/10.1002/pamm.202400182

Accelerating the Adaptive Eyre–Milton FFT-based method for infinitely double contrasted media

Martin Dolbeau, Jérémy Bleyer and Karam Sab
Comptes Rendus. Mécanique 352 (G1) 251 (2024)
https://doi.org/10.5802/crmeca.269

On the effectiveness of deep material networks for the multi-scale virtual characterization of short fiber-reinforced thermoplastics under highly nonlinear load cases

Argha Protim Dey, Fabian Welschinger, Matti Schneider, Jonathan Köbler and Thomas Böhlke
Archive of Applied Mechanics 94 (5) 1177 (2024)
https://doi.org/10.1007/s00419-024-02558-w

Assumed strain methods in micromechanics, laminate composite voxels and level sets

Jonas Lendvai and Matti Schneider
International Journal for Numerical Methods in Engineering 125 (11) (2024)
https://doi.org/10.1002/nme.7459

A fast cosine transformation accelerated method for predicting effective thermal conductivity

Changqing Ye, Shubin Fu and Eric T. Chung
Computer Methods in Applied Mechanics and Engineering 426 116982 (2024)
https://doi.org/10.1016/j.cma.2024.116982

Imposing different boundary conditions for thermal computational homogenization problems with FFT‐ and tensor‐train‐based Green's operator methods

Lennart Risthaus and Matti Schneider
International Journal for Numerical Methods in Engineering 125 (7) (2024)
https://doi.org/10.1002/nme.7423

A posteriori error estimations and convergence criteria in fast Fourier transform‐based computational homogenization

Renaud Ferrier and Cédric Bellis
International Journal for Numerical Methods in Engineering 124 (4) 834 (2023)
https://doi.org/10.1002/nme.7145

A micromechanical cyclic damage model for high cycle fatigue failure of short fiber reinforced composites

Patrick Arthur Hessman, Fabian Welschinger, Kurt Hornberger and Thomas Böhlke
Composites Part B: Engineering 264 110855 (2023)
https://doi.org/10.1016/j.compositesb.2023.110855

Influence of printing irregularities on the elastic behavior and mesostructural stress concentrations in material extrusion additive manufacturing—A numerical approach based on X-ray tomography

Joseph Paux, Geoffrey Ginoux, Shyam Pulickan and Samir Allaoui
Additive Manufacturing 76 103760 (2023)
https://doi.org/10.1016/j.addma.2023.103760

An explicit dynamic FFT method for homogenizing heterogeneous solids under large deformations

Mingchuan Wang, Kai Zhang, Cai Chen and Weijie Liu
International Journal of Engineering Science 192 103930 (2023)
https://doi.org/10.1016/j.ijengsci.2023.103930

Fourier transform approach to homogenization of frequency-dependent heat transfer in porous media

Quy Dong To and Guy Bonnet
International Journal of Numerical Methods for Heat & Fluid Flow 33 (6) 2023 (2023)
https://doi.org/10.1108/HFF-03-2022-0198

HIGH-RESOLUTION MULTI-SCALE TOPOLOGY OPTIMIZATION USING FFT-BASED HOMOGENIZATION

Masayoshi MATSUI, Hiroya HOSHIBA, Hiroki OGURA and Junji KATO
Japanese Journal of JSCE 79 (15) n/a (2023)
https://doi.org/10.2208/jscejj.22-15026

Non-linear homogenization of Forchheimer law for porous media with cylindrical and spherical impervious inclusions

Vincent Monchiet
Acta Mechanica 234 (12) 6607 (2023)
https://doi.org/10.1007/s00707-023-03732-x

Rapid inverse calibration of a multiscale model for the viscoplastic and creep behavior of short fiber-reinforced thermoplastics based on Deep Material Networks

Argha Protim Dey, Fabian Welschinger, Matti Schneider, Sebastian Gajek and Thomas Böhlke
International Journal of Plasticity 160 103484 (2023)
https://doi.org/10.1016/j.ijplas.2022.103484

Fourier Transform approach to numerical homogenization of periodic media containing sharp insulating and superconductive cracks

Quy-Dong To and Guy Bonnet
Computer Methods in Applied Mechanics and Engineering 403 115710 (2023)
https://doi.org/10.1016/j.cma.2022.115710

Convergence of trigonometric and finite-difference discretization schemes for FFT-based computational micromechanics

Changqing Ye and Eric T. Chung
BIT Numerical Mathematics 63 (1) (2023)
https://doi.org/10.1007/s10543-023-00950-6

Multiscale Fast Fourier Transform homogenization of additively manufactured fiber reinforced composites from component-wise description of morphology

Facundo Sosa-Rey, Clément Vella, Alessandra Lingua, Juliette Pierre, Nicola Piccirelli, Daniel Therriault and Martin Lévesque
Composites Science and Technology 243 110261 (2023)
https://doi.org/10.1016/j.compscitech.2023.110261

Thermo-viscoelastic multiscale homogenization of additively manufactured short fiber reinforced polymers from direct microstructure characterization

Facundo Sosa-Rey, Alessandra Lingua, Nicola Piccirelli, Daniel Therriault and Martin Lévesque
International Journal of Solids and Structures 281 112421 (2023)
https://doi.org/10.1016/j.ijsolstr.2023.112421

On the effectiveness of the Moulinec–Suquet discretization for composite materials

Matti Schneider
International Journal for Numerical Methods in Engineering 124 (14) 3191 (2023)
https://doi.org/10.1002/nme.7244

Boundary-volume Lippmann Schwinger formulation and fast iteration schemes for numerical homogenization of conductive composites. Cases of arbitrary contrasts and Kapitza interface

Quy-Dong To and Guy Bonnet
Computer Methods in Applied Mechanics and Engineering 415 116221 (2023)
https://doi.org/10.1016/j.cma.2023.116221

High‐performance computational homogenization of Stokes–Brinkman flow with an Anderson‐accelerated FFT method

Yang Chen
International Journal for Numerical Methods in Fluids 95 (9) 1441 (2023)
https://doi.org/10.1002/fld.5199

Advanced Intelligent Systems for Sustainable Development (AI2SD’2020)

Mohammed Rida Derraz, Mustapha Boukour, Anass El Mamouni and Abderrahim El Omri
Advances in Intelligent Systems and Computing, Advanced Intelligent Systems for Sustainable Development (AI2SD’2020) 1418 164 (2022)
https://doi.org/10.1007/978-3-030-90639-9_14

Superaccurate effective elastic moduli via postprocessing in computational homogenization

Matti Schneider
International Journal for Numerical Methods in Engineering 123 (17) 4119 (2022)
https://doi.org/10.1002/nme.7002

Synchronous involvement of topology and microstructure to design additively manufactured lattice structures

Behzad Bahrami Babamiri, Jason R. Mayeur and Kavan Hazeli
Additive Manufacturing 52 102618 (2022)
https://doi.org/10.1016/j.addma.2022.102618

Multiscale coupling of FFT-based simulations with the LDC approach

Noé Brice Nkoumbou Kaptchouang and Lionel Gélébart
Computer Methods in Applied Mechanics and Engineering 394 114921 (2022)
https://doi.org/10.1016/j.cma.2022.114921

A Review of FE-FFT-Based Two-Scale Methods for Computational Modeling of Microstructure Evolution and Macroscopic Material Behavior

Christian Gierden, Julian Kochmann, Johanna Waimann, Bob Svendsen and Stefanie Reese
Archives of Computational Methods in Engineering 29 (6) 4115 (2022)
https://doi.org/10.1007/s11831-022-09735-6

Analytical representation and efficient computation of the effective conductivity of two‐phase composite materials

R. Valéry Roy
International Journal for Numerical Methods in Engineering 123 (15) 3567 (2022)
https://doi.org/10.1002/nme.6980

Voxel‐based finite elements with hourglass control in fast Fourier transform‐based computational homogenization

Matti Schneider
International Journal for Numerical Methods in Engineering 123 (24) 6286 (2022)
https://doi.org/10.1002/nme.7114

FFT based approaches in micromechanics: fundamentals, methods and applications

S Lucarini, M V Upadhyay and J Segurado
Modelling and Simulation in Materials Science and Engineering 30 (2) 023002 (2022)
https://doi.org/10.1088/1361-651X/ac34e1

Reduced FFT-Based Simulation of a Mechanically Loaded Clustered Microstructure Using an Adaptive Set of Fourier Modes

Johanna Waimann, Christian Gierden, Annika Schmidt, Bob Svendsen and Stefanie Reese
Key Engineering Materials 926 2285 (2022)
https://doi.org/10.4028/p-9cr29c

Adaptation and validation of FFT methods for homogenization of lattice based materials

S. Lucarini, L. Cobian, A. Voitus and J. Segurado
Computer Methods in Applied Mechanics and Engineering 388 114223 (2022)
https://doi.org/10.1016/j.cma.2021.114223

Representative volume elements for matrix-inclusion composites - a computational study on the effects of an improper treatment of particles intersecting the boundary and the benefits of periodizing the ensemble

Matti Schneider, Marc Josien and Felix Otto
Journal of the Mechanics and Physics of Solids 158 104652 (2022)
https://doi.org/10.1016/j.jmps.2021.104652

Discrete element approach to simulate debonding process in 3D short glass fibre composite materials: Application to PA6/GF30

A. Ammar, W. Leclerc, M. Guessasma and N. Haddar
Composite Structures 270 114035 (2021)
https://doi.org/10.1016/j.compstruct.2021.114035

MOSAIC: An Effective FFT-based Numerical Method to Assess Aging Properties of Concrete

Christa E. Torrence, Alain B. Giorl, Yujie Li, et al.
Journal of Advanced Concrete Technology 19 (2) 149 (2021)
https://doi.org/10.3151/jact.19.149

An FFT solver used for virtual Dynamic Mechanical Analysis experiments: Application to a glassy/amorphous system and to a particulate composite

Stéphane André, Julien Boisse and Camille Noûs
Journal of Theoretical, Computational and Applied Mechanics (2021)
https://doi.org/10.46298/jtcam.6450

Adding geodesic information and stochastic patch-wise image prediction for small dataset learning

Adam Hammoumi, Maxime Moreaud, Christophe Ducottet and Sylvain Desroziers
Neurocomputing 456 481 (2021)
https://doi.org/10.1016/j.neucom.2021.01.108

Computing the effective response of heterogeneous materials with thermomechanically coupled constituents by an implicit fast Fourier transform‐based approach

Daniel Wicht, Matti Schneider and Thomas Böhlke
International Journal for Numerical Methods in Engineering 122 (5) 1307 (2021)
https://doi.org/10.1002/nme.6579

FFT phase-field model combined with cohesive composite voxels for fracture of composite materials with interfaces

Yang Chen, Lionel Gélébart, Aldo Marano and James Marrow
Computational Mechanics 68 (2) 433 (2021)
https://doi.org/10.1007/s00466-021-02041-1

Numerical investigation of heat conduction in heterogeneous media with a discrete element method approach

H. Haddad, W. Leclerc, G. Alhajj Hassan, A. Ammar, C. Pélegris, M. Guessasma and E. Bellenger
International Journal of Thermal Sciences 164 106799 (2021)
https://doi.org/10.1016/j.ijthermalsci.2020.106799

Multiscale design of nonlinear materials using a Eulerian shape optimization scheme

Ahmad R. Najafi, Masoud Safdari, Daniel A. Tortorelli and Philippe H. Geubelle
International Journal for Numerical Methods in Engineering 122 (12) 2981 (2021)
https://doi.org/10.1002/nme.6650

Anderson‐accelerated polarization schemes for fast Fourier transform‐based computational homogenization

Daniel Wicht, Matti Schneider and Thomas Böhlke
International Journal for Numerical Methods in Engineering 122 (9) 2287 (2021)
https://doi.org/10.1002/nme.6622

Fourier transform approach to nonperiodic boundary value problems in porous conductive media

Quy‐Dong To, Guy Bonnet and Trung Nguyen‐Thoi
International Journal for Numerical Methods in Engineering 122 (18) 4864 (2021)
https://doi.org/10.1002/nme.6749

On non‐stationary polarization methods in FFT‐based computational micromechanics

Matti Schneider
International Journal for Numerical Methods in Engineering 122 (22) 6800 (2021)
https://doi.org/10.1002/nme.6812

A variational fast Fourier transform method for phase-transforming materials

A Cruzado, J Segurado, D J Hartl and A A Benzerga
Modelling and Simulation in Materials Science and Engineering 29 (4) 045001 (2021)
https://doi.org/10.1088/1361-651X/abe4c7

Nonlocal Effective Electromagnetic Wave Characteristics of Composite Media: Beyond the Quasistatic Regime

Salvatore Torquato and Jaeuk Kim
Physical Review X 11 (2) (2021)
https://doi.org/10.1103/PhysRevX.11.021002

Smoothing interface stress oscillation of composite materials in FFT method by laminate theory

Bing Wang, Guodong Fang, Shuo Liu, Jun Liang and Dongkai Lv
Mechanics of Advanced Materials and Structures 28 (18) 1878 (2021)
https://doi.org/10.1080/15376494.2020.1712749

On mean field homogenization schemes for short fiber reinforced composites: Unified formulation, application and benchmark

Patrick Arthur Hessman, Fabian Welschinger, Kurt Hornberger and Thomas Böhlke
International Journal of Solids and Structures 230-231 111141 (2021)
https://doi.org/10.1016/j.ijsolstr.2021.111141

A concurrent multiscale framework based on self-consistent clustering analysis for cylinder structure under uniaxial loading condition

Yixin Feng, Huadong Yong and Youhe Zhou
Composite Structures 266 113827 (2021)
https://doi.org/10.1016/j.compstruct.2021.113827

Numerical artifacts of Fast Fourier Transform solvers for elastic problems of multi-phase materials: their causes and reduction methods

Xiao Ma, Modesar Shakoor, Dmytro Vasiukov, Stepan V. Lomov and Chung Hae Park
Computational Mechanics 67 (6) 1661 (2021)
https://doi.org/10.1007/s00466-021-02013-5

Experimental study and micromechanical modelling of the effective elastic properties of Fe–TiB2 composites

Khaoula Dorhmi, Katell Derrien, Zehoua Hadjem-Hamouche, et al.
Composite Structures 272 114122 (2021)
https://doi.org/10.1016/j.compstruct.2021.114122

Numerical homogenization of thermal conductivity of particle-filled thermal interface material by fast Fourier transform method

Xiaoxin Lu, Xueqiong Fu, Jibao Lu, et al.
Nanotechnology 32 (26) 265708 (2021)
https://doi.org/10.1088/1361-6528/abeb3c

Accelerated computational micromechanics and its application to polydomain liquid crystal elastomers

Hao Zhou and Kaushik Bhattacharya
Journal of the Mechanics and Physics of Solids 153 104470 (2021)
https://doi.org/10.1016/j.jmps.2021.104470

Periodic smoothing splines for FFT-based solvers

Léo Morin, Renald Brenner, Katell Derrien and Khaoula Dorhmi
Computer Methods in Applied Mechanics and Engineering 373 113549 (2021)
https://doi.org/10.1016/j.cma.2020.113549

An FE–DMN method for the multiscale analysis of short fiber reinforced plastic components

Sebastian Gajek, Matti Schneider and Thomas Böhlke
Computer Methods in Applied Mechanics and Engineering 384 113952 (2021)
https://doi.org/10.1016/j.cma.2021.113952

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

Ran Ma and WaiChing Sun
Computer Methods in Applied Mechanics and Engineering 362 112781 (2020)
https://doi.org/10.1016/j.cma.2019.112781

Numerical study of the conductive liquid metal elastomeric composites

Fayyaz Nosouhi Dehnavi, Masoud Safdari, Karen Abrinia, Azadeh Sheidaei and Majid Baniassadi
Materials Today Communications 23 100878 (2020)
https://doi.org/10.1016/j.mtcomm.2019.100878

Numerical technique for the 3D microarchitecture design of elastic composites inspired by crystal symmetries

N. Rossi, R. Yera, C.G. Méndez, S. Toro and A.E. Huespe
Computer Methods in Applied Mechanics and Engineering 359 112760 (2020)
https://doi.org/10.1016/j.cma.2019.112760

FFT based numerical homogenization method for porous conductive materials

Quy-Dong To and Guy Bonnet
Computer Methods in Applied Mechanics and Engineering 368 113160 (2020)
https://doi.org/10.1016/j.cma.2020.113160

A fast Fourier transform-based mesoscale field dislocation mechanics study of grain size effects and reversible plasticity in polycrystals

Stéphane Berbenni, Vincent Taupin and Ricardo A. Lebensohn
Journal of the Mechanics and Physics of Solids 135 103808 (2020)
https://doi.org/10.1016/j.jmps.2019.103808

On Quasi‐Newton methods in fast Fourier transform‐based micromechanics

Daniel Wicht, Matti Schneider and Thomas Böhlke
International Journal for Numerical Methods in Engineering 121 (8) 1665 (2020)
https://doi.org/10.1002/nme.6283