Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites
type: Item
instance of: scholarly article
title: Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites
zbMATH Open document ID: 1423.74218
author: V. Monchiet
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2018-08-30T00:00:00Z
Mathematics Subject Classification ID: 74E30
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 65N35
Mathematics Subject Classification ID: 65T50
Mathematics Subject Classification ID: 74Q05
zbMATH DE Number: 6929456
zbMATH Keywords: variational principles
zbMATH Keywords: fast Fourier transform
zbMATH Keywords: composites
zbMATH Keywords: homogenization
MaRDI profile type: Publication
full work available at URL: j.cma.2014.10.005
OpenAlex ID: W2033572014
cites work: Q4076860
cites work: Q4297445
cites work: A numerical method for computing the overall response of nonlinear composites with complex microstructure
cites work: A model problem concerning recoverable strains of shape-memory polycrystals
cites work: Effective properties of elastic periodic composite media with fibers
cites work: Effective properties of composite materials with periodic microstructure: A computational approach
cites work: Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials
cites work: A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
cites work: Accelerating a FFT-based solver for numerical homogenization of periodic media by conjugate gradients
cites work: A fast method for solving microstructural problems defined by digital images: a space Lippmann-Schwinger scheme
cites work: Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields
cites work: Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: exact solutions and dilute expansions
cites work: A FFT-based method to compute the permeability induced by a Stokes slip flow through a porous medium
cites work: A Fourier based numerical method for computing the dynamic permeability of periodic porous media
cites work: Computational approach for composite materials with coupled constitutive laws
cites work: Intraphase strain heterogeneity in nonlinear composites: A computational approach
cites work: Effect of a nonuniform distribution of voids on the plastic response of voided materials: a computational and statistical analysis
cites work: Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids
cites work: An accelerated FFT algorithm for thermoelastic and non-linear composites
cites work: Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations
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
cites work: An FFT-based Galerkin method for homogenization of periodic media
cites work: Elastic Behavior of Composite Materials: Theoretical Foundations
cites work: Q4379920
cites work: The Theory of Composites
cites work: A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
cites work: Bounds and self-consistent estimates for the overall properties of anisotropic composites
cites work: Variational bounds on the effective moduli of anisotropic composites
cites work: Q4834168
DOI: 10.1016/J.CMA.2014.10.005
Recommended article: A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
Recommended article: Variational Methods for Dispersion Relations and Elastic Properties of Composite Materials
Recommended article: FFT-based homogenization at finite strains using composite boxels (ComBo)
Recommended article: Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites
Recommended article: An accelerated FFT algorithm for thermoelastic and non-linear composites
Recommended article: Comparison of three accelerated FFT-based schemes for computing the mechanical response of composite materials
Recommended article: An integral equation method for elastostatics of periodic composites
Recommended article: Estimation of very narrow bounds to the behavior of nonlinear incompressible elastic composites
Recommended article: Unified formulae of variational bounds for multiphase anisotropic elastic composites
Recommended article: A new variational estimate for the effective response of hyperelastic composites
description: scientific article; zbMATH DE number 6929456