An FFT-based method for computing weighted minimal surfaces in microstructures with applications to the computational homogenization of brittle fracture

Fracture and damage (74Rxx) Homogenization, determination of effective properties in solid mechanics (74Qxx) Equilibrium (steady-state) problems in solid mechanics (74Gxx)

Cites Work

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On the ergodic convergence rates of a first-order primal-dual algorithm
A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
On the existence of representative volumes for softening quasi-brittle materials - A failure zone averaging scheme
A multiscale approach for modeling progressive damage of composite materials using fast Fourier transforms
Coupled-volume multi-scale modelling of quasi-brittle material
A micromechanical analysis of damage propagation in fluid-saturated cracked media
Determination of the size of the representative volume element for random composites: Statistical and numerical approach.
Approximations of effective coefficients in stochastic homogenization
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
Revisiting brittle fracture as an energy minimization problem
An incremental-iterative method for modeling damage evolution in voxel-based microstructure models
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
A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography
Existence of strong solutions to the Dirichlet problem for the Griffith energy
Approximation of functions with small jump sets and existence of strong minimizers of Griffith's energy
On polarization-based schemes for the FFT-based computational homogenization of inelastic materials
Homogenization of free discontinuity problems
An FFT-based Galerkin method for homogenization of periodic media
Stochastic homogenisation of free-discontinuity problems
Numerical implementation of the variational formulation for quasi-static brittle fracture
A Bridging Mechanism in the Homogenization of Brittle Composites with Soft Inclusions
Novel boundary conditions for strain localization analyses in microstructural volume elements
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
Parametric Maximum Flow Algorithms for Fast Total Variation Minimization
Computational homogenization for adhesive and cohesive failure in quasi‐brittle solids
A combined fracture-micromechanics model for tensile strain-softening in brittle materials, based on propagation of interacting microcracks
Coarse-graining of multiscale crack propagation
An enhanced multi-scale approach for masonry wall computations with localization of damage
Multiscale aggregating discontinuities: A method for circumventing loss of material stability
Maximal flow through a domain
Existence and convergence for quasi-static evolution in brittle fracture
A function space framework for structural total variation regularization with applications in inverse problems
FFT‐based homogenization for microstructures discretized by linear hexahedral elements
Computational damage mechanics for composite materials based on mathematical homogenization
Crack propagation in continuous media
Multi‐scale constitutive modelling of heterogeneous materials with a gradient‐enhanced computational homogenization scheme
ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE
VI. The phenomena of rupture and flow in solids
An introduction to continuous optimization for imaging

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