Regularized variational theories of fracture: a unified approach

DOI10.1016/j.jmps.2010.02.010zbMath1244.74114OpenAlexW2089057061MaRDI QIDQ443628

Publication date: 13 August 2012

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.2010.02.010

zbMATH Keywords

variational calculus fracture mechanics damage mechanics structured deformations free-discontinuity problem

Mathematics Subject Classification ID

Brittle fracture (74R10) Energy minimization in equilibrium problems in solid mechanics (74G65) Theories of fracture and damage (74A45) Homogenization in equilibrium problems of solid mechanics (74Q05) Brittle damage (74R05)

Related Items

An existence result for a model of complete damage in elastic materials with reversible evolution, A nonlinear model for marble sulphation including surface rugosity: theoretical and numerical results, A comparative review of peridynamics and phase-field models for engineering fracture mechanics, Variational modeling of hydromechanical fracture in saturated porous media: a micromechanics-based phase-field approach, Phase field modelling of anisotropic crack propagation, A variational approach to fracture and other inelastic phenomena, Phase-field numerical strategies for deviatoric driven fractures, A framework to model the fatigue behavior of brittle materials based on a variational phase-field approach, A phase-field model for fatigue crack growth, An overview of the modelling of fracture by gradient damage models, An open-source Abaqus implementation of the phase-field method to study the effect of plasticity on the instantaneous fracture toughness in dynamic crack propagation, Nonlinear field-split preconditioners for solving monolithic phase-field models of brittle fracture, On poroelastic strain energy degradation in the variational phase-field models for hydraulic fracture, A unified regularized variational cohesive fracture theory with directional energy decomposition, Graded damage in quasi‐brittle solids, Fracture modeling by the eigenfracture approach for the implicit material point method framework, Coupled versus energetic nonlocal failure criteria: a case study on the crack onset from circular holes under biaxial loadings, A structured deformation driven nonlocal macro-meso-scale consistent damage model for the compression/shear dominate failure simulation of quasi-brittle materials, A variational model for plastic slip and its regularization via \(\Gamma \)-convergence, Accelerated high-cycle phase field fatigue predictions, Energetic formulation for rate-independent processes: remarks on discontinuous evolutions with a simple example, A time-discrete model for dynamic fracture based on crack regularization, Plastic flow as an energy minimization problem. Numerical experiments, Phase-field modelling of cohesive fracture, Variational phase-field fracture modeling with interfaces, Phase-field simulation of ductile fracture in shell structures, Variational modelling of diffused and localized damage with applications to fiber-reinforced concretes, Phase-field modeling of anisotropic brittle fracture including several damage mechanisms, On the crack-driving force of phase-field models in linearized and finite elasticity, On penalization in variational phase-field models of brittle fracture, A variationally consistent phase-field anisotropic damage model for fracture, Approximation of a brittle fracture energy with a constraint of non-interpenetration, A gradient-extended large-strain anisotropic damage model with crack orientation director, Phase-field modeling of electromechanical fracture in piezoelectric solids: analytical results and numerical simulations, An explicit representation of cracks in the variational phase field method for brittle fractures, Phase-field modeling of fracture in variably saturated porous media, Crack tip equation of motion in dynamic gradient damage models, Stochastic phase-field modeling of brittle fracture: computing multiple crack patterns and their probabilities, A framework for efficient isogeometric computations of phase-field brittle fracture in multipatch shell structures, Interior-point methods for the phase-field approach to brittle and ductile fracture, Gradient damage analysis of a cylinder under torsion: bifurcation and size effects, Modeling the response of tensile steel bars by means of incremental energy minimization, Effective mechanical response of non-linear heterogeneous materials comprising bimodular phases, Mesh refinement procedures for the phase field approach to brittle fracture, High order boundary and finite elements for 3D fracture propagation in brittle materials, Fast implicit solvers for phase-field fracture problems on heterogeneous microstructures, Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing, A damaged non-homogeneous Timoshenko beam model for a dam subjected to aging effects, Numerical Implementation of Phase-Field Models of Brittle Fracture

Uses Software

deal.ii

Cites Work