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

DOI10.1016/j.jcp.2015.03.048zbMath1349.65186arXiv1412.3228OpenAlexW2054899435MaRDI QIDQ349970

Franck Ouaki, Lionel Gélébart

Publication date: 5 December 2016

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.3228

zbMATH Keywords

FFTspectral methodfilternumerical homogenizationmultilayer modelspurious oscillations

Mathematics Subject Classification ID

Convolution as an integral transform (44A35) Numerical methods for discrete and fast Fourier transforms (65T50) Numerical methods for integral transforms (65R10) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (12)

Multiscale coupling of FFT-based simulations with the LDC approach ⋮ Guaranteed upper-lower bounds on homogenized properties by FFT-based Galerkin method ⋮ FFT phase-field model combined with cohesive composite voxels for fracture of composite materials with interfaces ⋮ FFT-based homogenization at finite strains using composite boxels (ComBo) ⋮ On the effectiveness of the Moulinec–Suquet discretization for composite materials ⋮ Numerical homogenization by an adaptive Fourier spectral method on non-uniform grids using optimal transport ⋮ A review of nonlinear FFT-based computational homogenization methods ⋮ Periodic smoothing splines for FFT-based solvers ⋮ A comparative study on low-memory iterative solvers for FFT-based homogenization of periodic media ⋮ A model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces ⋮ Adaptation and validation of FFT methods for homogenization of lattice based materials ⋮ The composite voxel technique for inelastic problems

Cites Work

• Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites
• Modeling the effective elastic behavior of composites: a mixed finite element and homogenisation approach
• A numerical method for computing the overall response of nonlinear composites with complex microstructure
• Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
• A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
• Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials
• Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields

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