Convergence of FFT-based homogenization for strongly heterogeneous media

Numerical homogenization of nonlinear composites with a polarization-based FFT iterative scheme

(2013) Vincent Monchiet et al.   COMPUTATIONAL MATERIALS SCIENCE

Non-linear extension of FFT-based methods accelerated by conjugate gradients to evaluate the mechanical behavior of composite materials

(2013) Lionel Gélébart et al.   COMPUTATIONAL MATERIALS SCIENCE

A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms

(2013) J. Spahn et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites

(2012) S. Brisard et al.   COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Digital rock physics benchmarks—part II: Computing effective properties

(2012) Heiko Andrä et al.   COMPUTERS & GEOSCIENCES

A fast method for solving microstructural problems defined by digital images: a space Lippmann-Schwinger scheme

(2012) Julien Yvonnet   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

A damage model for crack prediction in brittle and quasi-brittle materials solved by the FFT method

(2012) Jia Li et al.   INTERNATIONAL JOURNAL OF FRACTURE

A spectral method solution to crystal elasto-viscoplasticity at finite strains

(2012) P. Eisenlohr et al.   INTERNATIONAL JOURNAL OF PLASTICITY

A non-local fracture model for composite laminates and numerical simulations by using the FFT method

(2011) Jia Li et al.   COMPOSITES PART B-ENGINEERING

Homogenization methods for multi-phase elastic composites with non-elliptical reinforcements: Comparisons and benchmarks

(2011) B. Klusemann et al.   EUROPEAN JOURNAL OF MECHANICS A-SOLIDS

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

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

(2011) Ricardo A. Lebensohn et al.   INTERNATIONAL JOURNAL OF PLASTICITY

A micromechanics-based approach for the derivation of constitutive elastic coefficients of strain-gradient media

(2011) Thu-Huong Tran et al.   INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES

Fast fourier transform-based modeling for the determination of micromechanical fields in polycrystals

(2011) Ricardo A. Lebensohn et al.   JOM

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

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

Modeling the viscoplastic micromechanical response of two-phase materials using Fast Fourier Transforms

(2010) S.-B. Lee et al.   INTERNATIONAL JOURNAL OF PLASTICITY

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

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

Maxwell's far-field methodology predicting elastic properties of multiphase composites reinforced with aligned transversely isotropic spheroids

(2010) L.N. McCartney   PHILOSOPHICAL MAGAZINE

A FFT-based method to compute the permeability induced by a Stokes slip flow through a porous medium

(2009) Vincent Monchiet et al.   COMPTES RENDUS MECANIQUE

Numerical computation of the response of piezoelectric composites using Fourier transform

(2009) R. Brenner   PHYSICAL REVIEW B

An accelerated FFT algorithm for thermoelastic and non-linear composites

(2008) V. Vinogradov et al.   INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Elastic behavior of composites containing Boolean random sets of inhomogeneities

(2008) François Willot et al.   INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE

Maxwell's far-field methodology applied to the prediction of properties of multi-phase isotropic particulate composites

(2007) L. N. McCartney et al.   PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES