Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites
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Publication:1669321
DOI10.1016/j.cma.2014.10.005zbMath1423.74218OpenAlexW2033572014MaRDI QIDQ1669321
Publication date: 30 August 2018
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2014.10.005
Spectral, collocation and related methods for boundary value problems involving PDEs (65N35) Composite and mixture properties (74E30) Homogenization in equilibrium problems of solid mechanics (74Q05) Numerical methods for discrete and fast Fourier transforms (65T50)
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Cites Work
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- A Fourier based numerical method for computing the dynamic permeability of periodic porous media
- Computational approach for composite materials with coupled constitutive laws
- Combining Galerkin approximation techniques with the principle of Hashin and Shtrikman to derive a new FFT-based numerical method for the homogenization of composites
- Localization of elastic deformation in strongly anisotropic, porous, linear materials with periodic microstructures: exact solutions and dilute expansions
- Infinite-contrast periodic composites with strongly nonlinear behavior: effective-medium theory versus full-field simulations
- Effective properties of elastic periodic composite media with fibers
- A FFT-based method to compute the permeability induced by a Stokes slip flow through a porous medium
- Variational bounds on the effective moduli of anisotropic composites
- Bounds and self-consistent estimates for the overall properties of anisotropic composites
- Intraphase strain heterogeneity in nonlinear composites: A computational approach
- Effect of a nonuniform distribution of voids on the plastic response of voided materials: a computational and statistical analysis
- 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
- Effective properties of composite materials with periodic microstructure: A computational approach
- An FFT-based Galerkin method for homogenization of periodic media
- Bounds and estimates for the effective yield surface of porous media with a uniform or a nonuniform distribution of voids
- A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
- A fast method for solving microstructural problems defined by digital images: a space Lippmann-Schwinger scheme
- 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
- An accelerated FFT algorithm for thermoelastic and non-linear composites
- Elastic Behavior of Composite Materials: Theoretical Foundations
- A Variational Approach to the Theory of the Effective Magnetic Permeability of Multiphase Materials
- The Theory of Composites
- A model problem concerning recoverable strains of shape-memory polycrystals
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