A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid
From MaRDI portal
Publication:6554004
DOI10.1002/nme.6792zbMATH Open1548.74792MaRDI QIDQ6554004
Matti Schneider, Felix Ernesti
Publication date: 12 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
alternating direction method of multiplierscombinatorial continuous maximum floweffective crack energyFFT-based computational homogenization
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Numerical methods for discrete and fast Fourier transforms (65T50)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
- Distribution of directional data and fabric tensors
- A three-dimensional analysis of crack trapping and bridging by tough particles
- A dual algorithm for the solution of nonlinear variational problems via finite element approximation
- Examples of max-flow and min-cut problems with duality gaps in continuous networks
- Approximation of the effective conductivity of ergodic media by periodization
- Effective toughness of heterogeneous brittle materials
- Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
- Approximations of effective coefficients in stochastic homogenization
- A micromechanics-based nonlocal constitutive equation and estimates of representative volume element size for elastic composites.
- Alternating direction method with self-adaptive penalty parameters for monotone variational inequalities
- A numerical method for computing the overall response of nonlinear composites with complex microstructure
- Revisiting brittle fracture as an energy minimization problem
- A review on phase-field models of brittle fracture and a new fast hybrid formulation
- A FFT solver for variational phase-field modeling of brittle fracture
- Brittle anisotropic fracture propagation in quartz sandstone: insights from phase-field simulations
- A discussion of fracture mechanisms in heterogeneous materials by means of configurational forces in a phase field fracture model
- A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography
- Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures
- Existence of strong solutions to the Dirichlet problem for the Griffith energy
- Non-stationary Douglas-Rachford and alternating direction method of multipliers: adaptive step-sizes and convergence
- Homogenization of free discontinuity problems
- A compactness result in \(GSBV^p\) and applications to \(\varGamma \)-convergence for free discontinuity problems
- Stochastic homogenisation of free-discontinuity problems
- Numerical implementation of the variational formulation for quasi-static brittle fracture
- Elastic properties of reinforced solids: Some theoretical principles
- A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions
- A polarization-based FFT iterative scheme for computing the effective properties of elastic composites with arbitrary contrast
- 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
- A General Framework for a Class of First Order Primal-Dual Algorithms for Convex Optimization in Imaging Science
- The extended/generalized finite element method: An overview of the method and its applications
- Combinatorial Continuous Maximum Flow
- Beyond the flow decomposition barrier
- Maximal Flow Through a Network
- Maximal flow through a domain
- First-Order Variation in Elastic Fields Due to Variation in Location of a Planar Crack Front
- Theoretical Improvements in Algorithmic Efficiency for Network Flow Problems
- The Theory of Composites
- Crack propagation in continuous media
- A finite element method for crack growth without remeshing
- VI. The phenomena of rupture and flow in solids
- An introduction to continuous optimization for imaging
- Modeling the propagation of elastic waves using a modified finite difference grid.
- An FFT-based method for computing weighted minimal surfaces in microstructures with applications to the computational homogenization of brittle fracture
- Lippmann-Schwinger solvers for the explicit jump discretization for thermal computational homogenization problems
Related Items (4)
Applications of conic programming in non-smooth mechanics ⋮ Assumed strain methods in micromechanics, laminate composite voxels and level sets ⋮ FFT-based computational micromechanics with Dirichlet boundary conditions on the rotated staggered grid ⋮ Imposing Dirichlet boundary conditions directly for FFT-based computational micromechanics
This page was built for publication: A fast Fourier transform based method for computing the effective crack energy of a heterogeneous material on a combinatorially consistent grid
