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

DOI10.1002/nme.4334zbMath1352.74224OpenAlexW2100820819MaRDI QIDQ2952097

Julien Yvonnet

Publication date: 30 December 2016

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://hal-upec-upem.archives-ouvertes.fr/hal-00822037/file/_34_post-print_.pdf

zbMATH Keywords

computational homogenizationLippmann-Schwinger equationmicrotomographycomplex microstructuresSLS method

Mathematics Subject Classification ID

Boundary element methods applied to problems in solid mechanics (74S15) Micromechanics of solids (74M25) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (8)

Convergence of FFT‐based homogenization for strongly heterogeneous media ⋮ Combining FFT methods and standard variational principles to compute bounds and estimates for the properties of elastic composites ⋮ Fourier-based schemes with modified Green operator for computing the electrical response of heterogeneous media with accurate local fields ⋮ A review of nonlinear FFT-based computational homogenization methods ⋮ Fourier-accelerated nodal solvers (FANS) for homogenization problems ⋮ An incremental-iterative method for modeling damage evolution in voxel-based microstructure models ⋮ A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography ⋮ Self-consistent clustering analysis: an efficient multi-scale scheme for inelastic heterogeneous materials

Cites Work

• Elastic behavior of composites containing Boolean random sets of inhomogeneities
• A FFT-based method to compute the permeability induced by a Stokes slip flow through a porous medium
• On the symmetries of 2D elastic and hyperelastic tensors
• Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
• Effective stiffness tensor of composite media. I: Exact series expansions
• 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
• A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
• Introduction to Micromechanics and Nanomechanics

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