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Adaptive isogeometric analysis for phase‐field modeling of anisotropic brittle fracture

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What this work says

Outgoing claims: the papers this work cites, builds on, or argues with.

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GRADIENT ENHANCED DAMAGE FOR QUASI-BRITTLE MATERIALS
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Cohesive fracture analysis using Powell‐Sabin B‐splines
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Discrete vs smeared crack models for concrete fracture: bridging the gap
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Thermodynamically consistent phase‐field models of fracture: Variational principles and multi‐field FE implementations
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Phase‐field modeling and simulation of fracture in brittle materials with strongly anisotropic surface energy
inferredcites →https://doi.org/10.1002/nme.5300openalex-snapshot
Linear and nonlinear solvers for variational phase-field models of brittle fracture
inferredcites →https://doi.org/10.1002/nme.5517openalex-snapshot
Direct evaluation of stress intensity factors for curved cracks using Irwin's integral and XFEM with high‐order enrichment functions
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Adaptive hierarchical refinement of NURBS in cohesive fracture analysis
inferredcites →https://doi.org/10.1002/nme.5696openalex-snapshot
The role of Bézier extraction in adaptive isogeometric analysis: Local refinement and hierarchical refinement
inferredcites →https://doi.org/10.1002/nme.5759openalex-snapshot
Locally Refined T‐splines
inferredcites →https://doi.org/10.1002/nme.5917openalex-snapshot
Discrete fracture analysis using locally refined T‐splines
inferredcites →https://doi.org/10.1002/nme.6142openalex-snapshot
Energy conservation during remeshing in the analysis of dynamic fracture
inferredcites →https://doi.org/10.1007/978-94-011-4659-3_14openalex-snapshot
A unified framework for concrete damage and fracture models including size effects
inferredcites →https://doi.org/10.1007/s00419-017-1272-7openalex-snapshot
Material point method for crack propagation in anisotropic media: a phase field approach
inferredcites →https://doi.org/10.1007/s00466-015-1203-9openalex-snapshot
Three-dimensional Green’s function for an anisotropic multi-layered half-space
inferredcites →https://doi.org/10.1007/s10659-007-9107-3openalex-snapshot
The Variational Approach to Fracture
inferredcites →https://doi.org/10.1016/0020-7683(92)90210-kopenalex-snapshot
Crack paths in plane situations—II. Detailed form of the expansion of the stress intensity factors
inferredcites →https://doi.org/10.1016/j.cagd.2012.03.025openalex-snapshot
THB-splines: The truncated basis for hierarchical splines
inferredcites →https://doi.org/10.1016/j.cma.2008.07.012openalex-snapshot
Adaptive isogeometric analysis by local h-refinement with T-splines
inferredcites →https://doi.org/10.1016/j.cma.2009.02.036openalex-snapshot
Isogeometric analysis using T-splines
inferredcites →https://doi.org/10.1016/j.cma.2010.04.011openalex-snapshot
A phase field model for rate-independent crack propagation: Robust algorithmic implementation based on operator splits
inferredcites →https://doi.org/10.1016/j.cma.2012.01.008openalex-snapshot
A phase-field description of dynamic brittle fracture
inferredcites →https://doi.org/10.1016/j.cma.2013.09.014openalex-snapshot
Isogeometric analysis using LR B-splines
inferredcites →https://doi.org/10.1016/j.cma.2014.05.019openalex-snapshot
Hierarchical T-splines: Analysis-suitability, Bézier extraction, and application as an adaptive basis for isogeometric analysis
inferredcites →https://doi.org/10.1016/j.cma.2016.01.022openalex-snapshot
Isogeometric analysis and hierarchical refinement for higher-order phase-field models
inferredcites →https://doi.org/10.1016/j.cma.2016.05.015openalex-snapshot
Gradient damage vs phase-field approaches for fracture: Similarities and differences
inferredcites →https://doi.org/10.1016/j.cma.2018.03.032openalex-snapshot
Adaptive refinement of hierarchical T-splines
inferredcites →https://doi.org/10.1016/j.engfracmech.2015.03.003openalex-snapshot
Crack path prediction in rolled aluminum plates with fracture toughness orthotropy and experimental validation
inferredcites →https://doi.org/10.1016/j.engfracmech.2017.06.013openalex-snapshot
Theoretical and numerical prediction of crack path in the material with anisotropic fracture toughness
inferredcites →https://doi.org/10.1016/j.finel.2019.06.001openalex-snapshot
Strain-gradient elasticity and gradient-dependent plasticity with hierarchical refinement of NURBS
inferredcites →https://doi.org/10.1016/j.ijnonlinmec.2017.06.018openalex-snapshot
Phase field modeling of fracture in anisotropic brittle solids
inferredcites →https://doi.org/10.1016/j.jmps.2009.05.009openalex-snapshot
When and how do cracks propagate?
inferredcites →https://doi.org/10.1016/j.jmps.2017.03.015openalex-snapshot
A unified phase-field theory for the mechanics of damage and quasi-brittle failure
inferredcites →https://doi.org/10.1016/j.jmps.2018.06.022openalex-snapshot
A variational model of fracture for tearing brittle thin sheets
inferredcites →https://doi.org/10.1016/j.jmps.2019.01.010openalex-snapshot
Crack kinking in a variational phase-field model of brittle fracture with strongly anisotropic surface energy
inferredcites →https://doi.org/10.1016/s0022-5096(98)00034-9openalex-snapshot
Revisiting brittle fracture as an energy minimization problem
inferredcites →https://doi.org/10.1016/s0022-5096(99)00028-9openalex-snapshot
Numerical experiments in revisited brittle fracture
inferredcites →https://doi.org/10.1023/a:1018664705895openalex-snapshot
A unified framework for concrete damage and fracture models including size effects
inferredcites →https://doi.org/10.1039/c6sm00734aopenalex-snapshot
The tearing path in a thin anisotropic sheet from two pulling points: Wulff's view
inferredcites →https://doi.org/10.1103/physrevlett.110.144301openalex-snapshot
Forbidden Directions for the Fracture of Thin Anisotropic Sheets: An Analogy with the Wulff Plot
inferredcites →https://doi.org/10.1145/378456.378512openalex-snapshot
Hierarchical B-spline refinement
inferredcites →https://doi.org/10.1177/1056789510386852openalex-snapshot
Gradient Damage Models and Their Use to Approximate Brittle Fracture
inferredcites →https://doi.org/10.4171/ifb/171openalex-snapshot
Numerical implementation of the variational formulation for quasi-static brittle fracture

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Weak imposition of Dirichlet boundary conditions for analyses using Powell–Sabin B‐splines
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An Adaptive C1 Quadrilateral Spline Element Method for Fourth‐Order Phase‐Field Modeling of Quasi‐Static Brittle Fracture
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An adaptive multi-patch isogeometric phase-field model for dynamic brittle fracture
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Adaptive finite element modeling of phase-field fracture driven by hydrogen embrittlement
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A smoothed particle hydrodynamics approach for phase field modeling of brittle fracture
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Three-dimensional phase-field modeling of brittle fracture using an adaptive octree-based scaled boundary finite element approach
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High pressure and long-term gas diffusion coupled damage of composites through a multi-physical phase field framework
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116154openalex-snapshot
Adaptive multi-patch isogeometric phase-field method for quasi-static brittle fracture based on Nitsche’s method
inferred← citeshttps://doi.org/10.1016/j.cma.2023.116539openalex-snapshot
An adaptive phase-field simulation for hydrogen embrittlement fracture with multi-patch isogeometric method
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Phase-field fracture analysis for implicit geometric model via adaptive extended isogeometric analysis
inferred← citeshttps://doi.org/10.1016/j.cma.2024.117330openalex-snapshot
Mixed-mode thermo-mechanical fracture: An adaptive multi-patch isogeometric phase-field cohesive zone model
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Effective phase-field modeling of the Cahn–Hilliard equation in 2D and 3D using a quasi-interpolation approach to adaptive isogeometric analysis with THB-splines
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Thermal analysis of electronic packaging structure using isogeometric boundary element method
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Fourth-order phase-field models with a novel family of degradation functions for brittle fracture in magneto-electro-elastic materials
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Crack analysis of the foundation gallery within an asphalt concrete core dam based on 3D SBFEM-PFM
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Phase-field modelling of cohesive fracture
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