Validation simulations for the variational approach to fracture
type: Item
instance of: scholarly article
title: Validation simulations for the variational approach to fracture
zbMATH Open document ID: 1423.74960
author: A. Mesgarnejad
author: M. M. Khonsari
author: Blaise Bourdin
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2019-03-27T00:00:00Z
Mathematics Subject Classification ID: 74S30
Mathematics Subject Classification ID: 74Rxx
Mathematics Subject Classification ID: 74A45
zbMATH DE Number: 7043235
zbMATH Keywords: variational approach to fracture
zbMATH Keywords: brittle fracture
zbMATH Keywords: validation
zbMATH Keywords: phase-field methods
describes a project that uses: PETSc
MaRDI profile type: Publication
full work available at URL: j.cma.2014.10.052
OpenAlex ID: W2049231907
cites work: Finite-deformation irreversible cohesive elements for three-dimensional crack-propagation analysis
cites work: Numerical simulations of fast crack growth in brittle solids
cites work: Analysis of three-dimensional crack initiation and propagation using the extended finite element method
cites work: A finite element method for crack growth without remeshing
cites work: Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
cites work: A phase field model for rate-independent crack propagation: robust algorithmic implementation based on operator splits
cites work: Damage and fracture evolution in brittle materials by shape optimization methods
cites work: Damage growth modeling using the thick level set (TLS) approach: efficient discretization for quasi-static loadings
cites work: Eigenfracture: An Eigendeformation Approach to Variational Fracture
cites work: Revisiting brittle fracture as an energy minimization problem
cites work: Numerical experiments in revisited brittle fracture
cites work: The variational approach to fracture
cites work: The variational formulation of brittle fracture: numerical implementation and extensions
cites work: Numerical implementation of the variational formulation for quasi-static brittle fracture
cites work: Fracture and debonding of a thin film on a stiff substrate: analytical and numerical solutions of a one-dimensional variational model
cites work: A variational model for fracture and debonding of thin films under in-plane loadings
cites work: EXISTENCE OF SOLUTIONS TO A REGULARIZED MODEL OF DYNAMIC FRACTURE
cites work: A time-discrete model for dynamic fracture based on crack regularization
cites work: A phase-field description of dynamic brittle fracture
cites work: Approximation of free-discontinuity problems
cites work: The issues of the uniqueness and the stability of the homogeneous response in uniaxial tests with gradient damage models
cites work: Approximation of functional depending on jumps by elliptic functional via t-convergence
cites work: Q3992271
cites work: An approximation result for special functions with bounded deformation
cites work: ON THE VARIATIONAL APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS IN THE VECTORIAL CASE
cites work: Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
cites work: From the onset of damage to rupture: construction of responses with damage localization for a general class of gradient damage models
cites work: Flexible complementarity solvers for large-scale applications
cites work: Q4356470
cites work: An Adaptive Finite Element Approximation of a Variational Model of Brittle Fracture
cites work: Energy-based modeling of cohesive and cohesionless cracks via X-FEM
cites work: Modelling of cohesive crack growth in concrete structures with the extended finite element method
cites work: Modeling three-dimensional crack propagation-A comparison of crack path tracking strategies
cites work: A vector level set method and new discontinuity approximations for crack growth by EFG
cites work: 3D crack propagation in unreinforced concrete: A two-step algorithm for tracking 3D crack paths
cites work: Comparative studies of 3D-constitutive models for concrete: application to mixed-mode fracture
cites work: A computational framework of three-dimensional configurational-force-driven brittle crack propagation
cites work: Three-dimensional brittle fracture: configurational-force-driven crack propagation
DOI: 10.1016/J.CMA.2014.10.052
description: scientific article; zbMATH DE number 7043235