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Computational modeling of localized failure in solids: XFEM vs PF-CZM
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Outgoing claims: the papers this work cites, builds on, or argues with.
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A plastic-damage concrete model for earthquake analysis of dams
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GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
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MODELLING STRONG DISCONTINUITIES IN SOLID MECHANICS VIA STRAIN SOFTENING CONSTITUTIVE EQUATIONS. PART 1: FUNDAMENTALS
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THE PARTITION OF UNITY METHOD
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Large‐scale modeling of localized dissipative mechanisms in a local continuum: applications to the numerical simulation of strain localization in rate‐dependent inelastic solids
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The Variational Approach to Fracture
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Approximation of Free-Discontinuity Problems
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The Variational Approach to Fracture
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Challenges, Tools and Applications of Tracking Algorithms in the Numerical Modelling of Cracks in Concrete and Masonry Structures
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Analysis of crack formation and crack growth in concrete by means of fracture mechanics and finite elements
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Plastic flow and fracture in solids
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Computational modelling of impact damage in brittle materials
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The formation of equilibrium cracks during brittle fracture. General ideas and hypotheses. Axially-symmetric cracks
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Ultimate strength analysis of prestressed concrete pressure vessels
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The finite element method. Linear static and dynamic finite element analysis
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Computation of post-bifurcation and post-failure behavior of strain-softening solids
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Application of NLFM models to predict cracking in concrete gravity dams
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Finite element analysis of reinforced concrete beams
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Phase field approximation of cohesive fracture models
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A finite element method for the simulation of strong and weak discontinuities in solid mechanics
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Modelling of cohesive crack growth in concrete structures with the extended finite element method
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An orthotropic mesh corrected crack model
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A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
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Gradient damage models: Toward full-scale computations
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Homogenization-based multiscale crack modelling: From micro-diffusive damage to macro-cracks
inferredcites →https://doi.org/10.1016/j.cma.2011.09.012openalex-snapshot
Stable Generalized Finite Element Method (SGFEM)
inferredcites →https://doi.org/10.1016/j.cma.2013.07.010openalex-snapshot
A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
inferredcites →https://doi.org/10.1016/j.cma.2014.10.043openalex-snapshot
A combined XFEM–damage mechanics approach for concrete crack propagation
inferredcites →https://doi.org/10.1016/j.cma.2014.11.013openalex-snapshot
Extended embedded finite elements with continuous displacement jumps for the modeling of localized failure in solids
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Phase field modeling of fracture in multi-physics problems. Part I. Balance of crack surface and failure criteria for brittle crack propagation in thermo-elastic solids
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Stable GFEM (SGFEM): Improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
inferredcites →https://doi.org/10.1016/j.cma.2015.02.001openalex-snapshot
Strong discontinuity embedded approach with standard SOS formulation: Element formulation, energy-based crack-tracking strategy, and validations
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A primal-dual active set method and predictor-corrector mesh adaptivity for computing fracture propagation using a phase-field approach
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An improved stable XFEM (Is-XFEM) with a novel enrichment function for the computational modeling of cohesive cracks
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A phase-field method for computational modeling of interfacial damage interacting with crack propagation in realistic microstructures obtained by microtomography
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A hybrid XFEM –Phase field ( Xfield ) method for crack propagation in brittle elastic materials
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A geometrically regularized gradient-damage model with energetic equivalence
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Anisotropic mesh adaptation for crack propagation induced by a thermal shock in 2D
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Robust numerical implementation of non-standard phase-field damage models for failure in solids
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Modeling dynamic fracture of solids with a phase-field regularized cohesive zone model
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New enriched finite elements with softening plastic hinges for the modeling of localized failure in beams
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Fully automatic modelling of mixed-mode crack propagation using scaled boundary finite element method
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Boundary effect on weight function in nonlocal damage model
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Modeling tensile crack propagation in concrete gravity dams via crack-path-field and strain injection techniques
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Phase-field model for brittle fracture. Validation with experimental results and extension to dam engineering problems
inferredcites →https://doi.org/10.1016/j.engfracmech.2017.07.028openalex-snapshot
Minimum energy multiple crack propagation. Part I: Theory and state of the art review
inferredcites →https://doi.org/10.1016/j.engfracmech.2017.07.029openalex-snapshot
Minimum energy multiple crack propagation. Part-II: Discrete solution with XFEM
inferredcites →https://doi.org/10.1016/j.engfracmech.2017.08.004openalex-snapshot
Minimum energy multiple crack propagation. Part III: XFEM computer implementation and applications
inferredcites →https://doi.org/10.1016/j.engfracmech.2018.04.038openalex-snapshot
Phase-field regularized cohesive zone model (CZM) and size effect of concrete
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Cracking elements: A self-propagating Strong Discontinuity embedded Approach for quasi-brittle fracture
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Modeling quasi-static crack growth with the extended finite element method Part I: Computer implementation
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Incorrect initiation and propagation of failure in non-local and gradient-enhanced media
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Fully automatic modelling of cohesive discrete crack propagation in concrete beams using local arc-length methods
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Over-nonlocal gradient enhanced plastic-damage model for concrete
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An augmented multicrack elastoplastic damage model for tensile cracking
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Stress-based nonlocal damage model
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Regularized formulation of the variational brittle fracture with unilateral contact: Numerical experiments
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Homogenization of intergranular fracture towards a transient gradient damage model
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Numerical insight of a variational smeared approach to cohesive fracture
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A unified phase-field theory for the mechanics of damage and quasi-brittle failure
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Crack nucleation in variational phase-field models of brittle fracture
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A homogenized localizing gradient damage model with micro inertia effect
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A length scale insensitive phase-field damage model for brittle fracture
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Revisiting brittle fracture as an energy minimization problem
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Numerical experiments in revisited brittle fracture
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The partition of unity finite element method: Basic theory and applications
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Strain-based transient-gradient damage model for failure analyses
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Comparative study on finite elements with embedded discontinuities
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Discontinuous enrichment in finite elements with a partition of unity method
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Strong discontinuities and continuum plasticity models: the strong discontinuity approach
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Nonlocal Damage Theory
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High‐Order Bending of Sandwich Beams with Transversely Flexible Core and Nonparallel Skins
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Application of NLFM Models to Predict Cracking in Concrete Gravity Dams
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Flexible complementarity solvers for large-scale applications
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APPROXIMATION OF FREE-DISCONTINUITY PROBLEMS
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VI. The phenomena of rupture and flow in solids
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Computational Methods for Fracture in Brittle and Quasi-Brittle Solids: State-of-the-Art Review and Future Perspectives
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Gradient Damage Models and Their Use to Approximate Brittle Fracture
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A consistent and efficient localized damage model for concrete
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A non-intrusive global/local approach applied to phase-field modeling of brittle fracture
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Unified plastic-damage model for concrete and its applications to dynamic nonlinear analysis of structures
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Einfluss der Bauteilgrösse auf die Bruchenergie von Beton
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Incoming claims: where this work appears in other papers’ reference lists and arguments.
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Phase field and gradient enhanced damage models for quasi-brittle failure: A numerical comparative study
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X-ray computed tomography images based phase-field modeling of mesoscopic failure in concrete
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Simulating time-dependent quasi-brittle failures based on a multilinear releasing mechanism of viscous force (VF) fields
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Length scale and mesh bias sensitivity of phase-field models for brittle and cohesive fracture
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Evaluation of variational phase-field models for dynamic brittle fracture
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A length scale insensitive phase field model for brittle fracture of hyperelastic solids
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On validating peridynamic models and a phase-field model for dynamic brittle fracture in glass
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Crystal cracking of grain-gradient aluminum by a combined CPFEM-CZM method
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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.2022.108621openalex-snapshot
A hybrid numerical approach for hydraulic fracturing in a naturally fractured formation combining the XFEM and phase-field model
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2023.109260openalex-snapshot
Simulation of crack propagation in solder layer of IGBT device under temperature shock by viscoplastic phase field method
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Phase-field modeling of thermal cracking in hardening mass concrete
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Thickness-dependent micro-fracture behaviors of pre-cracked aluminum plates by crystal plasticity finite element method and damage criteria
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Brittle crack propagation simulation based on the Virtual Element Method and J k -integral fracture criterion
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2024.110713openalex-snapshot
Investigation of microscale brittle fracture opening in diamond with olivine inclusion using XFEM and cohesive zone modeling
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2025.111125openalex-snapshot
Modeling of post-excavation mixed-mode fracture propagation in fluid-saturated porous rock subjected to overburden load
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Multiphase flow and heat transfer-driven fracture in saturated buffers for a nuclear waste repository: A novel phase-field cohesive zone model
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An implicit ordinary state-based peridynamic framework for quasi-brittle fracture problems
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Three-dimensional nonlocal damage modelling of fractures in quasi-brittle materials using the octree polyhedral scaled boundary finite element method
inferred← citeshttps://doi.org/10.1016/j.engfracmech.2026.112025openalex-snapshot
A thermo-mechanical phase field fracture model considering solid–liquid transition
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Study of damage mechanisms of superalloys via a combined Phase-Field method
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Experimental, analytical, and numerical investigation on flexural behavior of hybrid beams consisting of ultra-high performance and normal-strength concrete
inferred← citeshttps://doi.org/10.1016/j.engstruct.2023.116397openalex-snapshot
Modelling the behaviour of heavy and mass timber members subjected to blast loads
inferred← citeshttps://doi.org/10.1016/j.engstruct.2025.119784openalex-snapshot
Lightweight topology optimization of cracked structures based on the mixed-mode brittle fracture criterion
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Phase-field modelling of cohesive fracture
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On the crack opening and energy dissipation in a continuum based disconnected crack model
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Application of a FEM-SPIM adaptive strategy to phase-field simulation of pressurized fracture
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A phase-field regularized cohesive zone model for SC-CO2 fracturing in thermo-poroelastic media
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Effect of adhesive material properties on phase-field analysis of T-peel adhesive joints using the Taguchi method
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A peridynamics-based cohesive zone model (PD-CZM) for predicting cohesive crack propagation
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Data-driven multiscale modeling of crack evolution in compressed energetic composites
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Phase-field modeling and validation of fracture toughness of octet-truss lattices
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An innovative quasi-bond approach to bridge continuity, anisotropic damage and macroscopic fracture of solids and structures
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In-situ experiment and numerical modelling of the intragranular and intergranular damage and fracture in plastic deformation of ductile alloys
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A simplified method for predicting overflow-induced crack propagation in gravity dams using genetic algorithm and material-based model
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
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Physically consistent nonlocal macro–meso-scale damage model for quasi-brittle materials: A unified multiscale perspective
inferred← citeshttps://doi.org/10.1016/j.jmps.2020.104253openalex-snapshot
Direction-dependent fracture in solids: Atomistically calibrated phase-field and cohesive zone model
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Crack nucleation and propagation of electromagneto-thermo-mechanical fracture in bulk superconductors during magnetization
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Phase field fracture modelling of crack-clapping induced acoustic nonlinearity
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Multi-scale modeling method for polycrystalline materials considering grain boundary misorientation angle
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Phase-field modeling of crack growth in nanoparticle-reinforced tungsten-based composite
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Stress intensity factor and fatigue crack propagation assessment of mode-I failure in alumina-calcium hexaluminate refractories
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EQP - A 2D/3D library for integration of polynomials times step function
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Comprehensive implementations of phase-field damage models in Abaqus
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An auto-adaptive sub-stepping algorithm for phase-field modeling of brittle fracture
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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.2022.103562openalex-snapshot
Interface fracture prediction of multi-material hybrid structures by modified phase field models
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Objectivity in quasi-brittle structural failure via adaptive formulation and mesh refinement
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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.2024.104558openalex-snapshot
Prediction of concrete cracking behavior under different strain rates based on the boundary effects model
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Numerical method for predicting the nucleation and propagation of multiple cracks based on the modified extended finite element method
inferred← citeshttps://doi.org/10.1016/j.tafmec.2025.105124openalex-snapshot
Experimental and numerical study on the mechanical and failure characteristics of red sandstone with hole–fissure defects under biaxial compression
inferred← citeshttps://doi.org/10.1016/j.tafmec.2026.105542openalex-snapshot
Coupling phase field, viscoplasticity and diffusion models for predicting hydrogen-assisted fatigue crack growth
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An extended phase field strategy integrated with XFEM for quasi-brittle fracture
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Additively manufactured beam-to-column connections for assembly of pultruded GFRP members: Experimental investigation and fracture-based numerical modelling
inferred← citeshttps://doi.org/10.1061/jenmdt.emeng-7480openalex-snapshot
A Multilevel Adaptive Mesh Scheme for Efficient Simulation of Thermomechanical Phase-Field Fracture
inferred← citeshttps://doi.org/10.1073/pnas.2510727122openalex-snapshot
Fracture of liquid crystal elastomers
inferred← citeshttps://doi.org/10.1109/icectt.2019.00021openalex-snapshot
Basic Research on Wire-Wound On-Line Monitoring of Vehicle Pressure Vessel
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A Novel Robust Remeshing Finite Element Technique for Fracture Propagation
inferred← citeshttps://doi.org/10.1142/s1758825125500772openalex-snapshot
Study on the Fracture Behaviors of Porous Media Based on the Fractal Geometry Theory and Phase Field Fracture Method
inferred← citeshttps://doi.org/10.1177/00219983251313669openalex-snapshot
Critical review of interlaminar damage process and failure analysis in fiber-reinforced composite laminates encompassing fiber-bridging phenomenon
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A review of continuum damage and plasticity in concrete: Part I – Theoretical framework
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/10.21203/rs.3.rs-7809090/v1openalex-snapshot
Enhanced XFEM Framework with Modular Enrichment for Nonlinear and Mixed-Mode Crack Propagation
inferred← citeshttps://doi.org/10.2139/ssrn.6873991openalex-snapshot
Failure analysis of the concrete gravity dam under static and seismic loading via the NMMD model
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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/4zc69openalex-snapshot
Comparison of peridynamic and phase-field models for dynamic brittle fracture in glassy materials
inferred← citeshttps://doi.org/10.3390/a16060290openalex-snapshot
Integration of Polynomials Times Double Step Function in Quadrilateral Domains for XFEM Analysis
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/app11072975openalex-snapshot
Numerical Modeling of Crack Growth under Mixed-Mode Loading
inferred← citeshttps://doi.org/10.3390/app122312073openalex-snapshot
An Anisotropic Damage Model of Quasi-Brittle Materials and Its Application to the Fracture Process Simulation
inferred← citeshttps://doi.org/10.3390/app122312077openalex-snapshot
Numerical Modeling of Quasi-Brittle Materials Using a Phase-Field Regularized Cohesive Zone Model with Optimal Softening Law
inferred← citeshttps://doi.org/10.3390/app9122436openalex-snapshot
Discrete and Phase Field Methods for Linear Elastic Fracture Mechanics: A Comparative Study and State-of-the-Art Review
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/su15054015openalex-snapshot
Numerical Simulation of Steel Fiber Pull-Out Process Based on Cohesive Zone Model and Unified Phase-Field Theory
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
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