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A variationally consistent phase-field anisotropic damage model for fracture
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Outgoing claims: the papers this work cites, builds on, or argues with.
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Dynamic Instabilities of Fracture under Biaxial Strain Using a Phase Field Model
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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A review on fracture propagation in concrete: Models, methods, and benchmark tests
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A phase-field cohesive zone model for fracture simulation of asphalt mixture
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.2024.110148openalex-snapshot
Mesoscopic simulation of uniaxial compression fracture of concrete via the nonlocal macro–meso-scale consistent damage model
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2024.110317openalex-snapshot
Phase-field anisotropic damage with bond-slip model for reinforced concrete beam under the service load
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2024.110543openalex-snapshot
Phase-field approach for precise fracture tracking in anisotropic rocks: Integrating orthotropy-based energy decomposition and two-fold symmetric fracture toughness
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2025.111170openalex-snapshot
A thermodynamic consistent phase field fracture model for micropolar medium considering tension–torsion coupling effect
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2025.111304openalex-snapshot
Parameter identification for phase-field modeling of brittle fracture in spruce wood
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2025.111774openalex-snapshot
An energy-based dual phase-field model for shear cracking patterns in heterogeneous geomaterials
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.111842openalex-snapshot
Phase-field fracture modeling of piezoelectric solids with a novel crack driving force incorporating an intrinsic material parameter
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112146openalex-snapshot
A thermo-mechanical-chemical coupled failure model for turbine blade coatings within a phase-field framework
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112257openalex-snapshot
A phase field fracture model for helical fiber-reinforced composites
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112354openalex-snapshot
Phase-field simulation of fracture-mode transition induced by external surface defects in ductile metallic expanding shells
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112359openalex-snapshot
Revisiting Miehe’s spectral split: A basis-independent energy decomposition model for phase-field fracture
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.engfracmech.2026.112661openalex-snapshot
A unified high-order phase field model based on stable convergent multi-subproblem splitting scheme
inferred← citeshttps://doi.org/10.1016/j.engstruct.2025.119970openalex-snapshot
Advancing the non-local damage approach for reinforced concrete structures: The Extended Gradient Damage Model
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2026.106075openalex-snapshot
Crystal-plastic phase-field modeling of short crack behavior in laser shock peened material
inferred← citeshttps://doi.org/10.1016/j.euromechsol.2026.106183openalex-snapshot
An extended energy-based cohesive zone model to depict anisotropic degradation of elastic-brittle interface
inferred← citeshttps://doi.org/10.1016/j.finel.2024.104139openalex-snapshot
An elastoplastic phase-field model for quasi-static fracture of nickel-based super-alloys
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.finel.2026.104590openalex-snapshot
A unified variational framework for phase-field fracture and third-medium contact in finite deformation hyperelasticity
inferred← citeshttps://doi.org/10.1016/j.ijengsci.2022.103773openalex-snapshot
A unified regularized variational cohesive fracture theory with directional energy decomposition
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2020.105941openalex-snapshot
A length scale insensitive anisotropic phase field fracture model for hyperelastic composites
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2024.109839openalex-snapshot
Diffusive-length-scale adjustable phase field fracture model for large/small structures
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.110092openalex-snapshot
A phase-field fracture model for piezoelectrics in hydrogen-rich environment
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2025.110382openalex-snapshot
A thermodynamic-consistent phase-field model for fracture in temperature-dependent materials
inferred← citeshttps://doi.org/10.1016/j.ijmecsci.2026.111170openalex-snapshot
A phase-field fracture model for flexoelectric structures
inferred← citeshttps://doi.org/10.1016/j.ijplas.2025.104489openalex-snapshot
A cohesive–frictional phase-field model for hybrid fracture in quasi-brittle materials incorporating strength criteria
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.2021.104987openalex-snapshot
Hydro-mechanical modelling of gas transport in clayey host rocks for nuclear waste repositories
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.2024.112738openalex-snapshot
Physically consistent nonlocal macro–meso-scale damage model for quasi-brittle materials: A unified multiscale perspective
inferred← citeshttps://doi.org/10.1016/j.ijsolstr.2025.113378openalex-snapshot
Phase-field model for fatigue crack growth in piezoelectrics: Energetically consistent boundary condition
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.2026.114265openalex-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.jallcom.2023.173281openalex-snapshot
Grain size and orientation affected deformation inhomogeneity and local damage of hot-deformed Al-Zn-Mg alloy
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.2023.105470openalex-snapshot
Isogeometric smooth crack-band model (isCBM) using spress–sprain relations adapted to microplane theory
inferred← citeshttps://doi.org/10.1016/j.jmps.2024.106013openalex-snapshot
A length-scale insensitive cohesive phase-field interface model: Application to concurrent bulk and interface fracture simulation in Lithium-ion battery materials
inferred← citeshttps://doi.org/10.1016/j.jmps.2025.106036openalex-snapshot
3D phase-field cohesive fracture: Unifying energy, driving force, and stress criteria for crack nucleation and propagation direction
inferred← citeshttps://doi.org/10.1016/j.jmps.2025.106104openalex-snapshot
A strain gradient phase field model for heterogeneous materials based on two-scale asymptotic homogenization
inferred← citeshttps://doi.org/10.1016/j.jmps.2025.106333openalex-snapshot
Effective fracture toughness for heterogeneous materials accounting for the worst-case scenario
inferred← citeshttps://doi.org/10.1016/j.jmps.2025.106469openalex-snapshot
A machine learning bridged concurrent multi-scale computational framework for microstructure related macro-cracking
inferred← citeshttps://doi.org/10.1016/j.jmps.2025.106479openalex-snapshot
Phase-field cohesive fracture models with strong displacement discontinuities
inferred← citeshttps://doi.org/10.1016/j.jmps.2026.106591openalex-snapshot
A thermodynamically consistent and length scale-insensitive phase-field methodology suitable for ductile fracture with coupled elastic-plastic driving forces
inferred← citeshttps://doi.org/10.1016/j.jobe.2022.104802openalex-snapshot
Explicit double-phase-field formulation and implementation for bending behavior of UHPC-NC composite beams
inferred← citeshttps://doi.org/10.1016/j.jobe.2024.108670openalex-snapshot
A novel damage model integrated into the elastoplastic constitutive model and numerical simulations of reinforced concrete structures under cyclic loading
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.jpowsour.2025.239125openalex-snapshot
Understanding fracture mechanisms in NMC811 particles via stochastic anisotropic phase-field modelling
inferred← citeshttps://doi.org/10.1016/j.msea.2024.146684openalex-snapshot
In-situ deformation inhomogeneity and damage evolution of mixed-grain structure with tempered sorbite/bainite in Fe–Cr–Mo–Mn steel
inferred← citeshttps://doi.org/10.1016/j.msea.2025.148681openalex-snapshot
Understanding in-situ plastic deformation inhomogeneity and local damage of a new TRIP-assisted medium manganese steel
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.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.2022.103283openalex-snapshot
Modeling tensile damage and fracture of quasi-brittle materials using stochastic phase-field model
inferred← citeshttps://doi.org/10.1016/j.tafmec.2022.103648openalex-snapshot
Discontinuous deformation analysis (DDA) simulations of crack propagation, branching and coalescence in brittle materials under dynamic loading
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.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.2025.105309openalex-snapshot
Efficient phase-field modelling of quasi-brittle fracture with a Taylor series-least square neighboured point method
inferred← citeshttps://doi.org/10.1016/j.tafmec.2026.105788openalex-snapshot
An extended phase field strategy integrated with XFEM for quasi-brittle fracture
inferred← citeshttps://doi.org/10.1016/j.tafmec.2026.105840openalex-snapshot
A phase-field fracture model for gas–solid–coupled rock creep: Experiments and theoretical framework
inferred← citeshttps://doi.org/10.1038/s41524-022-00700-2openalex-snapshot
Phase-field framework with constraints and its applications to ductile fracture in polycrystals and fatigue
inferred← citeshttps://doi.org/10.1061/(asce)st.1943-541x.0003333openalex-snapshot
Phase-Field Description of Ductile Fracture in Structural Steel under Cyclic Loading
inferred← citeshttps://doi.org/10.1061/jenmdt.emeng-7703openalex-snapshot
Regularized Density-Driven Damage Mechanics Model for Failure Analysis of Cementitious Composites
inferred← citeshttps://doi.org/10.1063/5.0043675openalex-snapshot
A phase-field model for spall fracture
inferred← citeshttps://doi.org/10.1080/15376494.2021.1976888openalex-snapshot
Combining coupled, staggered and uncoupled solution methods for phase-field-based fracture analysis
inferred← citeshttps://doi.org/10.1108/ec-10-2020-0564openalex-snapshot
The meso-failure mechanism of lightweight concrete simulated by the phase field method
inferred← citeshttps://doi.org/10.1145/3523286.3524557openalex-snapshot
Computation of brittle phase field fracture by the quadrature element method
inferred← citeshttps://doi.org/10.1177/00368504251325746openalex-snapshot
Phase-field simulation of thermal cracking with length-scale insensitive degradation functions
inferred← citeshttps://doi.org/10.1177/10567895211068174openalex-snapshot
A review of continuum damage and plasticity in concrete: Part I – Theoretical framework
inferred← citeshttps://doi.org/10.1177/10812865231181342openalex-snapshot
A theory of coupled strain-gradient plasticity with species transport at small deformations
inferred← citeshttps://doi.org/10.1590/1679-78255959openalex-snapshot
A Thermodynamically Consistent Phase Field Framework for Anisotropic Damage Propagation
inferred← citeshttps://doi.org/10.3390/app112311476openalex-snapshot
Damage Pattern Recognition and Crack Propagation Prediction for Crumb Rubber Concrete Based on Acoustic Emission Techniques
inferred← citeshttps://doi.org/10.3390/app16125900openalex-snapshot
Numerical Simulation and Mechanism Analysis of Dissolution-Induced Spalling Damage in Grottoes
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/10.70675/6767a0cez2e1az4defz82ebz25ed58e89c15openalex-snapshot
Prédiction de la microfissuration par champ de phase et méthode FFT pour les matériaux énergétiques comprimés
inferred← citeshttps://doi.org/10.70675/fdd67771z5540z4022z82dfz6fdb09524304openalex-snapshot
Numerical acceleration methods for high cycle fatigue crack propagation with a phase-field model
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