The composite voxel technique for inelastic problems

DOI10.1016/j.cma.2017.04.025zbMath1439.74043OpenAlexW2613152702MaRDI QIDQ2309923

Andreas Fink, Matti Schneider, Matthias Kabel

Publication date: 6 April 2020

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.2017.04.025

zbMATH Keywords

homogenizationFFTLippmann-Schwinger equationnonlinear composites

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Micromechanics of solids (74M25) Composite and mixture properties (74E30) Spectral and related methods applied to problems in solid mechanics (74S25) Numerical methods for discrete and fast Fourier transforms (65T50) Linear integral equations (45A05)

Related Items (10)

Mixed strain/stress gradient loadings for FFT-based computational homogenization methods ⋮ 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) ⋮ An FFT‐based Galerkin method for the effective permeability of porous material ⋮ On the effectiveness of the Moulinec–Suquet discretization for composite materials ⋮ On the micromechanics of deep material networks ⋮ A review of nonlinear FFT-based computational homogenization methods ⋮ A computational investigation of the effective viscosity of short-fiber reinforced thermoplastics by an FFT-based method ⋮ 3D image-based stochastic micro-structure modelling of foams for simulating elasticity ⋮ AutoMat: automatic differentiation for generalized standard materials on GPUs

Uses Software

• FFTHomPy

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Mixed boundary conditions for FFT-based homogenization at finite strains
• Filtering material properties to improve FFT-based methods for numerical homogenization
• Efficient fixed point and Newton-Krylov solvers for FFT-based homogenization of elasticity at large deformations
• 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 model order reduction method for computational homogenization at finite strains on regular grids using hyperelastic laminates to approximate interfaces
• An FFT-based Galerkin method for homogenization of periodic media
• Use of composite voxels in FFT-based homogenization
• Continuum Thermodynamics
• Convergence of FFT‐based homogenization for strongly heterogeneous media
• Data-sparse elliptic operator inverse based on explicit approximation to the Green function
• The Theory of Composites
• FFT‐based homogenization for microstructures discretized by linear hexahedral elements

This page was built for publication: The composite voxel technique for inelastic problems