When and how do cracks propagate?

DOI10.1016/j.jmps.2009.05.009zbMath1371.74016OpenAlexW2056183460MaRDI QIDQ985237

Jean-Jacques Marigo, Antonin Chambolle, Gilles A. Francfort

Publication date: 20 July 2010

Published in: Journal of the Mechanics and Physics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmps.2009.05.009

zbMATH Keywords

stabilityfracture mechanicsvariational methods

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Brittle fracture (74R10) Theories of fracture and damage (74A45)

Related Items

A variational model based on isogeometric interpolation for the analysis of cracked bodies, Topology optimization of structures undergoing brittle fracture, Bottom-up modeling of damage in heterogeneous quasi-brittle solids, A comparative review of peridynamics and phase-field models for engineering fracture mechanics, The stress intensity factor for non-smooth fractures in antiplane elasticity, Perturbation approaches of a planar crack in linear elastic fracture mechanics: a review, A thermodynamically and variationally consistent class of damage-type cohesive models, A microscale second gradient approximation of the damage parameter of quasi-brittle heterogeneous lattices, Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy, How contact interactions may depend on the shape of Cauchy cuts in \(N\)th gradient continua: approach ``à la d'Alembert, XFEM modeling for curved fracture in the anisotropic fracture toughness medium, On the topological derivative due to kink of a crack with non-penetration. Anti-plane model, Modelling of fracture by cohesive force models: a path to pursue, Simulating curvilinear crack propagation in two dimensions with universal meshes, Phase-field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy, Revisiting energy release rates in brittle fracture, A DG/CR discretization for the variational phase-field approach to fracture, Elasticity tensor identification in elastic body with thin inclusions: non-coercive case, Minimum theorems in incremental linear elastic fracture mechanics, Simulation of crack propagation in anisotropic structures using the boundary element shape sensitivities and optimisation techniques, Investigations on the influence of the boundary conditions when computing the effective crack energy of random heterogeneous materials using fast marching methods, Deterministic and stochastic phase-field modeling of anisotropic brittle fracture, Crack kinking in brittle materials, An incremental minimization principle suitable for the analysis of low cycle fatigue in metals: A coupled ductile-brittle damage model, Complete damage in linear elastic materials: modeling, weak formulation and existence results, Variational phase-field fracture modeling with interfaces, Phase-field modeling of anisotropic brittle fracture including several damage mechanisms, Inverse problem for elastic body with thin elastic inclusion, On the crack-driving force of phase-field models in linearized and finite elasticity, Crack nucleation sensitivity analysis, The use of Powell-Sabin B-splines in a higher-order phase-field model for crack kinking, Massive parallelization of the phase field formulation for crack propagation with time adaptivity, A modification of the phase-field model for mixed mode crack propagation in rock-like materials, A phase-field fracture model for brittle anisotropic materials, Modeling and analysis of a phase field system for damage and phase separation processes in solids, Numerical crack path selection problem based on energy profiles, A selective review on Mumford-Shah minimizers, Fracture propagation in brittle materials as a standard dissipative process: general theorems and crack tracking algorithms

Cites Work

• Unnamed Item
• Unnamed Item
• Revisiting energy release rates in brittle fracture
• Global approach, relative minima and yield criterion in fracture mechanics
• Crack initiation in brittle materials
• The anti-symmetry principle for quasi-static crack propagation in mode III
• Dynamic fracture: An example of convergence towards a discontinuous quasistatic solution
• Crack paths in plane situations. II: Detailed form of the expansion of the stress intensity factors
• Numerical experiments in revisited brittle fracture
• A model for the quasi-static growth of brittle fractures: Existence and approximation results
• A variational formulation of rate-independent phase transformations using an extremum principle
• Revisiting brittle fracture as an energy minimization problem
• Initiation of cracks with cohesive force models: a variational approach
• Une approche variationnelle de la mécanique du défaut
• Existence and convergence for quasi-static evolution in brittle fracture
• A MODEL FOR THE QUASI-STATIC GROWTH OF BRITTLE FRACTURES BASED ON LOCAL MINIMIZATION
• VI. The phenomena of rupture and flow in solids
• Quasi-static crack growth for a cohesive zone model with prescribed crack path
• Remarks on a basic law for dynamic crack propagation