Numerical artifacts of fast Fourier transform solvers for elastic problems of multi-phase materials: their causes and reduction methods
DOI10.1007/s00466-021-02013-5zbMath1467.74095OpenAlexW3153412591WikidataQ113326716 ScholiaQ113326716MaRDI QIDQ2037494
Dmytro Vasiukov, Modesar Shakoor, Chung Hae Park, Xi-Ao Ma, Stepan V. Lomov
Publication date: 8 July 2021
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-021-02013-5
fast Fourier transformnumerical homogenizationGreen operatorcomposite voxel methodirregular discretizationmulti-phase composite material
Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Spectral and related methods applied to problems in solid mechanics (74S25)
Related Items (2)
Uses Software
Cites Work
- Unnamed Item
- Mixed boundary conditions for FFT-based homogenization at finite strains
- Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites
- FFT-based modelling of transformation plasticity in polycrystalline materials during diffusive phase transformation
- An approximate analytical 2D solution for the stresses and strains in eigenstrained cubic materials
- 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
- Fourier-accelerated nodal solvers (FANS) for homogenization problems
- FFT-based homogenization of hypoelastic plasticity at finite strains
- Field dislocation mechanics for heterogeneous elastic materials: a numerical spectral approach
- Use of composite voxels in FFT-based homogenization
- A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
- Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
- A survey of parallel solvers for the finite element method in computational electromagnetics
- FFT‐based homogenization for microstructures discretized by linear hexahedral elements
- Discrete Fourier transforms and their application to stress—strain problems in composite mechanics: a convergence study
This page was built for publication: Numerical artifacts of fast Fourier transform solvers for elastic problems of multi-phase materials: their causes and reduction methods