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

Anderson‐accelerated polarization schemes for FFT ‐based computational homogenization

(2021) Daniel Wicht et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

An FFT framework for simulating non-local ductile failure in heterogeneous materials

(2021) M. Magri et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

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

(2020) Ran Ma et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures

(2020) Felix Ernesti et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Modeling of Flexible Beam Networks and Morphing Structures by Geometrically Exact Discrete Beams

(2020) Claire Lestringant et al.   JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME

FFT based numerical homogenization method for porous conductive materials

(2020) Quy-Dong To et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Lippmann‐Schwinger solvers for the computational homogenization of materials with pores

(2020) Matti Schneider   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

On the Barzilai-Borwein basic scheme in FFT-based computational homogenization

(2019) Matti Schneider   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A FFT-based numerical implementation of mesoscale field dislocation mechanics: Application to two-phase laminates

(2019) Komlan S. Djaka et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

An algorithm for stress and mixed control in Galerkin based FFT homogenization

(2019) S. Lucarini et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

DBFFT: A displacement based FFT approach for non-linear homogenization of the mechanical behavior

(2019) S. Lucarini et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

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

(2019) Daniel Wicht et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

On hybrid cellular materials based on triply periodic minimal surfaces with extreme mechanical properties

(2019) Zeyao Chen et al.   MATERIALS & DESIGN

On the accuracy of spectral solvers for micromechanics based fatigue modeling

(2018) S. Lucarini et al.   COMPUTATIONAL MECHANICS

Mechanical metamaterials associated with stiffness, rigidity and compressibility: A brief review

(2018) Xianglong Yu et al.   PROGRESS IN MATERIALS SCIENCE

Compression behavior of lattice structures produced by selective laser melting: X-ray tomography based experimental and finite element approaches

(2018) Yasin Amani et al.   ACTA MATERIALIA

Development of a new consistent discrete Green operator for FFT-based methods to solve heterogeneous problems with eigenstrains

(2018) Komlavi Sényo Eloh et al.   INTERNATIONAL JOURNAL OF PLASTICITY

A finite element perspective on nonlinear FFT-based micromechanical simulations

(2017) J. Zeman et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Characteristics of mechanical metamaterials based on buckling elements

(2017) Claudio Findeisen et al.   JOURNAL OF THE MECHANICS AND PHYSICS OF SOLIDS

Mechanical metamaterials at the theoretical limit of isotropic elastic stiffness

(2017) J. B. Berger et al.   NATURE

FFT-based homogenization for microstructures discretized by linear hexahedral elements

(2016) Matti Schneider et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Geometrical control of lattice structures produced by EBM through chemical etching: Investigations at the scale of individual struts

(2016) Pierre Lhuissier et al.   MATERIALS & DESIGN

Design of lattice structures with controlled anisotropy

(2016) Shanqing Xu et al.   MATERIALS & DESIGN

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

(2015) François Willot   COMPTES RENDUS MECANIQUE

Use of composite voxels in FFT-based homogenization

(2015) Matthias Kabel et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Computational homogenization of elasticity on a staggered grid

(2015) Matti Schneider et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Numerically robust spectral methods for crystal plasticity simulations of heterogeneous materials

(2015) P. Shanthraj et al.   INTERNATIONAL JOURNAL OF PLASTICITY

Filtering material properties to improve FFT-based methods for numerical homogenization

(2015) Lionel Gélébart et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Efficient fixed point and Newton–Krylov solvers for FFT-based homogenization of elasticity at large deformations

(2014) Matthias Kabel et al.   COMPUTATIONAL MECHANICS

An FFT-based Galerkin method for homogenization of periodic media

(2014) Jaroslav Vondřejc et al.   COMPUTERS & MATHEMATICS WITH APPLICATIONS

Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials

(2014) H. Moulinec et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

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

(2011) V. Monchiet et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

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

(2010) S. Brisard et al.   COMPUTATIONAL MATERIALS SCIENCE

Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients

(2010) Jan Zeman et al.   JOURNAL OF COMPUTATIONAL PHYSICS

Simulation of micromechanical behavior of polycrystals: finite elements versus fast Fourier transforms

(2009) A Prakash et al.   MODELLING AND SIMULATION IN MATERIALS SCIENCE AND ENGINEERING