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Robust numerical implementation of non-standard phase-field damage models for failure in solids
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GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
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Modified Newton methods for solving fully monolithic phase-field quasi-static brittle fracture propagation
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inferredcites →https://doi.org/10.1016/j.jmps.2009.04.011openalex-snapshot
Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments
inferredcites →https://doi.org/10.1016/j.jmps.2016.09.003openalex-snapshot
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Mixed Mode Fracture of Concrete under Proportional and Nonproportional Loading
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VI. The phenomena of rupture and flow in solids
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Gradient Damage Models and Their Use to Approximate Brittle Fracture
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Einfluss der Bauteilgrösse auf die Bruchenergie von Beton
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A phase-field regularized cohesive zone model for quasi-brittle materials with spatially varying fracture properties
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Thermodynamically consistent linear-gradient damage model in Abaqus
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2022.108395openalex-snapshot
Extended DDA with rotation remedies and cohesive crack model for simulation of the dynamic seismic landslide
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2022.108518openalex-snapshot
Phase field model coupling with strain gradient plasticity for fracture in lithium-ion battery electrodes
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2022.108591openalex-snapshot
A hybrid multi-phase field model to describe cohesive failure in orthotropic materials, assessed by modeling failure mechanisms in wood
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2022.109030openalex-snapshot
A mesoscale modelling approach coupling SBFEM, continuous damage phase-field model and discrete cohesive crack model for concrete fracture
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109100openalex-snapshot
A review on fracture propagation in concrete: Models, methods, and benchmark tests
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109115openalex-snapshot
An adaptive phase-field model with variable-node elements for fracture of hyperelastic materials at large deformations
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109398openalex-snapshot
Phase-field modeling of thermal cracking in hardening mass concrete
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109419openalex-snapshot
A review on phase field models for fracture and fatigue
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109439openalex-snapshot
Phase field model for mixed mode fracture in concrete
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109655openalex-snapshot
Higher-order phase field fracture simulation in nearly incompressible viscoelasticity
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2024.110018openalex-snapshot
A hydro-thermo-damage-mechanical fully coupled cohesive phase-field model for fracking in quasi-brittle thermo-poroelastic media
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2024.110065openalex-snapshot
Crack propagation in anisotropic brittle materials: From a phase-field model to a shape optimization approach
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2024.110696openalex-snapshot
Parameter investigation and efficiency evaluation of unified phase-field theory in mesoscale fracture analysis of fully-graded concrete under uniaxial tension
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2025.110889openalex-snapshot
Mesoscale fracking modelling of heterogeneous quasi-brittle materials using a hydromechanical coupled cohesive phase-field model
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.111843openalex-snapshot
Numerical simulation of sulfate-eroded concrete structure based on a coupled chemical-transport-mechanical phase-field model
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.111957openalex-snapshot
A Thermo-Chemical-Hydro-Gaseous-Mechanical coupled fractal model for simulating rebar corrosion and concrete fractures
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112349openalex-snapshot
Anisotropic fracture-diffusion modeling of void-crack interaction and parallel crack patterns in single-crystal cathode particles
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112391openalex-snapshot
Multiscale framework for cracking simulations in heterogeneous materials by phase-field models
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112567openalex-snapshot
Study of damage mechanisms of superalloys via a combined Phase-Field method
inferred← citeshttps://doi.org/10.1016/j.enggeo.2024.107502openalex-snapshot
Simulation of dynamic pulsing fracking in poroelastic media by a hydro-damage-mechanical coupled cohesive phase field model
inferred← citeshttps://doi.org/10.1016/j.engstruct.2025.121675openalex-snapshot
Near-end enhanced embedded CFRP strip–concrete interfacial bond behavior: Experimental study and phase-field-based numerical analysis
inferred← citeshttps://doi.org/10.1016/j.finel.2019.103333openalex-snapshot
On the crack opening and energy dissipation in a continuum based disconnected crack model
inferred← citeshttps://doi.org/10.1016/j.finel.2020.103421openalex-snapshot
Cracking elements method with 6-node triangular element
inferred← citeshttps://doi.org/10.1016/j.finel.2024.104279openalex-snapshot
Fracture process zone modelling of a magnesia spinel refractory using phase field fracture model
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2025.104223openalex-snapshot
A variationally-consistent phase-field cohesive zone model for mixed-mode fracture with directional energy decomposition scheme and modified-G criterion
inferred← citeshttps://doi.org/10.1016/j.ijimpeng.2024.105174openalex-snapshot
Random phase field model for simulating mixed fracture modes in spatially variable rocks under impact loading
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109266openalex-snapshot
Phase-field modelling of fracture in viscoelastic composite using isogeometric FCM
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109651openalex-snapshot
A phase field method for predicting hydrogen-induced cracking on pipelines
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109694openalex-snapshot
A coupled phase-field model for sulfate-induced concrete cracking
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.110615openalex-snapshot
A micropolar phase field model for inner-structure sensitive quasi-brittle failure
inferred← citeshttps://doi.org/10.1016/j.ijplas.2025.104304openalex-snapshot
Simulation of fracture behaviors in hydrogenated zirconium alloys using a crystal plasticity coupled phase-field fracture model
inferred← citeshttps://doi.org/10.1016/j.ijplas.2025.104573openalex-snapshot
A generalized variational framework for crack regularization: Mixed-mode fracture and crack propagation direction
inferred← citeshttps://doi.org/10.1016/j.ijrmms.2024.105907openalex-snapshot
A thermo-mechanical phase-field model for mixed-mode fracture and its application in rock-like materials
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2021.111380openalex-snapshot
On the phase-field modeling of fully coupled chemo-mechanical deterioration and fracture in calcium leached cementitious solids
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2022.111462openalex-snapshot
Crack nucleation and propagation in the phase-field cohesive zone model with application to Hertzian indentation fracture
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2022.111960openalex-snapshot
3D meso-scale fracture modelling of concrete with random aggregates using a phase-field regularized cohesive zone model
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2022.111961openalex-snapshot
Uncovering the intrinsic deficiencies of phase-field modeling for dynamic fracture
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2025.113340openalex-snapshot
A chemo-thermo-mechanical coupled phase-field model for complex early-age concrete mesoscale fracture simulations
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2025.113811openalex-snapshot
A unified intrinsic theory of evolution for fatigue fracture via bulk–crack decomposition
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2026.113974openalex-snapshot
Path-following methods for phase-field simulation of quasi-static crack propagation
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2026.114049openalex-snapshot
Efficient non-consistent arc-length method for phase-field fracture problems
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2026.114265openalex-snapshot
An integral-transform-based phase-field formulation with an analytic mapping of the Park–Paulino–Roesler (PPR) cohesive law
inferred← citeshttps://doi.org/10.1016/j.istruc.2026.112114openalex-snapshot
Coupled analysis of chloride-induced deterioration in concrete piles
inferred← citeshttps://doi.org/10.1016/j.jclepro.2026.147550openalex-snapshot
An eXtended EDFM approach to modeling fracture evolution in coupled THMC processes during CO2 storage and geo-energy development
inferred← citeshttps://doi.org/10.1016/j.jmps.2018.06.006openalex-snapshot
A length scale insensitive phase-field damage model for brittle fracture
inferred← citeshttps://doi.org/10.1016/j.jmps.2021.104737openalex-snapshot
Phase-field cohesive fracture theory: A unified framework for dissipative systems based on variational inequality of virtual works
inferred← citeshttps://doi.org/10.1016/j.jmps.2024.105675openalex-snapshot
Phase-field simulation and coupled criterion link echelon cracks to internal length in antiplane shear
inferred← citeshttps://doi.org/10.1016/j.jmps.2024.105841openalex-snapshot
A generalized phase-field cohesive zone model ( μ PF-CZM) for fracture
inferred← citeshttps://doi.org/10.1016/j.jmps.2026.106785openalex-snapshot
Optimal transport in probabilistic quasi-brittle fracture
inferred← citeshttps://doi.org/10.1016/j.jobe.2025.112988openalex-snapshot
Electro-Chemo-Mechanical coupled model for corrosion and crack propagation in reinforced concrete
inferred← citeshttps://doi.org/10.1016/j.jpowsour.2024.234054openalex-snapshot
Cohesive phase-field chemo-mechanical simulations of inter- and trans- granular fractures in polycrystalline NMC cathodes via image-based 3D reconstruction
inferred← citeshttps://doi.org/10.1016/j.matdes.2023.112409openalex-snapshot
Electrical tree modelling in dielectric polymers using a phase-field regularized cohesive zone model
inferred← citeshttps://doi.org/10.1016/j.mechrescom.2024.104275openalex-snapshot
A multiscale fracture model using peridynamic enrichment of finite elements within an adaptive partition of unity: Experimental validation
inferred← citeshttps://doi.org/10.1016/j.prostr.2024.11.086openalex-snapshot
An effective multiscale modeling approach for the failure analysis of masonry structures
inferred← citeshttps://doi.org/10.1016/j.tafmec.2018.09.015openalex-snapshot
Cracking elements method for dynamic brittle fracture
inferred← citeshttps://doi.org/10.1016/j.tafmec.2019.102440openalex-snapshot
Comprehensive implementations of phase-field damage models in Abaqus
inferred← citeshttps://doi.org/10.1016/j.tafmec.2020.102587openalex-snapshot
An improved crack-tip element treatment for advanced FEMs
inferred← citeshttps://doi.org/10.1016/j.tafmec.2020.102736openalex-snapshot
Toughness or strength? Regularization in phase-field fracture explained by the coupled criterion
inferred← citeshttps://doi.org/10.1016/j.tafmec.2020.102840openalex-snapshot
Comparative study of phase-field damage models for hydrogen assisted cracking
inferred← citeshttps://doi.org/10.1016/j.tafmec.2021.103153openalex-snapshot
Phase-field cohesive zone modeling of multi-physical fracture in solids and the open-source implementation in Comsol Multiphysics
inferred← citeshttps://doi.org/10.1016/j.tafmec.2022.103748openalex-snapshot
Improved discontinuous deformation analysis method for modeling tensile cracking in quasi-brittle materials
inferred← citeshttps://doi.org/10.1016/j.tafmec.2023.103980openalex-snapshot
The unified nonlocal peridynamics-based phase-field damage theory
inferred← citeshttps://doi.org/10.1016/j.tafmec.2023.104110openalex-snapshot
Mesoscale modelling on the evolution of the fracture process zone in concrete using a unified phase-field approach: Size effect study
inferred← citeshttps://doi.org/10.1016/j.tafmec.2023.104233openalex-snapshot
Phase-field chemo-mechanical modelling of corrosion-induced cracking in reinforced concrete subjected to non-uniform chloride-induced corrosion
inferred← citeshttps://doi.org/10.1016/j.tafmec.2024.104285openalex-snapshot
Cracking and thermal resistance in concrete: Coupled thermo-mechanics and phase-field modeling
inferred← citeshttps://doi.org/10.1016/j.tafmec.2024.104324openalex-snapshot
A novel and simple variationally-consistent phase-field cohesive zone model for mixed-mode fracture
inferred← citeshttps://doi.org/10.1016/j.tafmec.2025.104988openalex-snapshot
A phase-field model for stress-assisted hydrogen diffusion and fracture: An Abaqus implementation
inferred← citeshttps://doi.org/10.1016/j.tafmec.2025.105257openalex-snapshot
Modelling dynamic brittle fracture with fourth-order phase-field integrated Eulerian SPH
inferred← citeshttps://doi.org/10.1016/j.tafmec.2026.105531openalex-snapshot
A recursive correction-adaptive meshless method for simulating quasi-brittle fracture based on the phase-field cohesive zone model
inferred← citeshttps://doi.org/10.1080/15376494.2019.1602237openalex-snapshot
Coupling of FEM and ordinary state-based peridynamics for brittle failure analysis in 3D
inferred← citeshttps://doi.org/10.1080/15376494.2020.1751354openalex-snapshot
Phase field model for fracture analysis of functionally graded power-based shell structures
inferred← citeshttps://doi.org/10.1080/15376494.2024.2424492openalex-snapshot
A critical review on free edge delamination fracture criteria
inferred← citeshttps://doi.org/10.1098/rsta.2021.0323openalex-snapshot
An Ogden-like formulation incorporating phase-field fracture in elastomers: from brittle to pseudo-ductile failures
inferred← citeshttps://doi.org/10.1111/ffe.13236openalex-snapshot
A continuum damage mechanics method for fracture simulation of quasi‐brittle materials
inferred← citeshttps://doi.org/10.1177/00368504251325746openalex-snapshot
Phase-field simulation of thermal cracking with length-scale insensitive degradation functions
inferred← citeshttps://doi.org/10.1177/10567895211001410openalex-snapshot
Study of the progressive failure of concrete by phase field modeling and experiments
inferred← citeshttps://doi.org/10.1177/10567895211068174openalex-snapshot
A review of continuum damage and plasticity in concrete: Part I – Theoretical framework
inferred← citeshttps://doi.org/10.1186/s41313-026-00078-4openalex-snapshot
Predicting fatigue and failure in metals and composites: a machine learning enabled multiscale modeling perspective
inferred← citeshttps://doi.org/10.1615/intjmultcompeng.2022046668openalex-snapshot
ADAPTIVE PHASE-FIELD CONCURRENT MULTISCALE METHOD FOR EFFICIENT SIMULATION OF QUASI-BRITTLE FRACTURE
inferred← citeshttps://doi.org/10.1617/s11527-024-02374-2openalex-snapshot
Predicting the impact of water transport on carbonation-induced corrosion in variably saturated reinforced concrete
inferred← citeshttps://doi.org/10.2139/ssrn.6282645openalex-snapshot
Anisotropic Fracture-Diffusion Modeling of Void-Crack Interaction and Parallel Cracks Patterns in Single-Crystal Cathode Particles
inferred← citeshttps://doi.org/10.2139/ssrn.7422690openalex-snapshot
Energy-norm positive/negative projection scheme for phase-field fracture with anisotropic elasticity
inferred← citeshttps://doi.org/10.2140/jomms.2024.19.235openalex-snapshot
Analysis of crack path instabilities in a quenched glass plate using the phase-field cohesive zone model
inferred← citeshttps://doi.org/10.31224/osf.io/gty2bopenalex-snapshot
A comparative review of peridynamics and phase-field models for engineering fracture mechanics
inferred← citeshttps://doi.org/10.32604/cmes.2022.020694openalex-snapshot
Improved Staggered Algorithm for Phase-Field Brittle Fracture with the Local Arc-Length Method
inferred← citeshttps://doi.org/10.3389/fphy.2023.1159566openalex-snapshot
Accelerating fracture simulation with phase field methods based on Drucker-Prager criterion
inferred← citeshttps://doi.org/10.3390/app10207335openalex-snapshot
Applying the Cracking Elements Method for Analyzing the Damaging Processes of Structures with Fissures
inferred← citeshttps://doi.org/10.3390/coatings14020202openalex-snapshot
A Phase-Field Regularized Cohesion Model for Hydrogen-Assisted Cracking
inferred← citeshttps://doi.org/10.3390/ma12111858openalex-snapshot
Mesh-Based and Meshfree Reduced Order Phase-Field Models for Brittle Fracture: One Dimensional Problems
inferred← citeshttps://doi.org/10.3390/ma16237474openalex-snapshot
Effects of Pore–Crack Relative Location on Crack Propagation in Porous Granite Based on the Phase-Field Regularized Cohesion Model
inferred← citeshttps://doi.org/10.3390/ma18174199openalex-snapshot
The Influence of Structural Constraints and Configurations on Corrosion-Induced Cracking in Reinforced Concrete Based on the Phase-Field Method
inferred← citeshttps://doi.org/10.3390/ma18225091openalex-snapshot
Multiphysics Phase-Field Modeling of Corrosion-Induced Degradation in Unsaturated Reinforced Concrete Structure
inferred← citeshttps://doi.org/10.3390/pr7010046openalex-snapshot
Simulating the Filtration Effects of Cement-Grout in Fractured Porous Media with the 3D Unified Pipe-Network Method
inferred← citeshttps://doi.org/10.3390/w10091122openalex-snapshot
Transient Analysis of Grout Penetration With Time-Dependent Viscosity Inside 3D Fractured Rock Mass by Unified Pipe-Network Method
inferred← citeshttps://doi.org/10.70675/6767a0cez2e1az4defz82ebz25ed58e89c15openalex-snapshot
Prédiction de la microfissuration par champ de phase et méthode FFT pour les matériaux énergétiques comprimés
inferred← citeshttps://doi.org/10.70675/a96486f2z5c15z41e8za881zc776dea4aff9openalex-snapshot
Modeling of damage and cracking in cohesive brittle materials and structures with coupled peridynamics-finite element method
inferred← citeshttps://doi.org/10.70675/c6acb5bcz96d1z49d1zaa9bz60f0062ca853openalex-snapshot
The elastic and damage modeling of heterogeneous materials based on the Fast Fourier Transform méthod
inferred← citeshttps://doi.org/10.70675/fb7fc624z74faz42e8z85a1ze9a7939f44c5openalex-snapshot
Modélisation multi-échelle par motifs et phénomènes non linéaires à haute température dans les composites à matrice céramique
inferred← citeshttps://doi.org/10.70675/fdd67771z5540z4022z82dfz6fdb09524304openalex-snapshot
Numerical acceleration methods for high cycle fatigue crack propagation with a phase-field model
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