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Triangular quarter‐point elements as elastic and perfectly‐plastic crack tip elements

https://doi.org/10.1002/nme.1620110109
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What this work says

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

inferredcites →https://doi.org/10.1002/9780470694626.ch6openalex-snapshot
The mathematical Theory of Plasticity
inferredcites →https://doi.org/10.1002/nme.1620090302openalex-snapshot
Crack tip finite elements are unnecessary
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On the use of isoparametric finite elements in linear fracture mechanics
inferredcites →https://doi.org/10.1002/nme.1620100306openalex-snapshot
A degenerate solid element for linear fracture analysis of plate bending and general shells
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Some properties of singular isoparametric elements
inferredcites →https://doi.org/10.1007/bf00034724openalex-snapshot
Further application of quadratic isoparametric finite elements to linear fracture mechanics of plate bending and general shells
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Application of quadratic isoparametric finite elements in linear fracture mechanics
inferredcites →https://doi.org/10.1007/bf00183802openalex-snapshot
Small scale yielding near a crack in plane strain: A finite element analysis
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Plane strain deformation near a crack tip in a power-law hardening material
inferredcites →https://doi.org/10.1016/0022-5096(68)90014-8openalex-snapshot
Singular behaviour at the end of a tensile crack in a hardening material
inferredcites →https://doi.org/10.1016/0045-7825(74)90032-2openalex-snapshot
On numerically accurate finite element solutions in the fully plastic range
inferredcites →https://doi.org/10.1093/oso/9780198503675.001.0001openalex-snapshot
The Mathematical Theory Of Plasticity
inferredcites →https://doi.org/10.1115/1.3601206openalex-snapshot
A Path Independent Integral and the Approximate Analysis of Strain Concentration by Notches and Cracks
inferredcites →https://doi.org/10.1520/stp33141sopenalex-snapshot
Small-Scale Yielding Analysis of Mixed Mode Plane-Strain Crack Problems

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

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A Dnn-Based Method to Predict J-Integral for Surface Cracked Plates Under Biaxial Loading
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A mixed mode rock fracture model for the prediction of crack path
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SINGULARp-VERSION FINITE ELEMENTS FOR STRESS INTENSITY FACTOR COMPUTATIONS
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ENRICHED ELEMENT-FREE GALERKIN METHODS FOR CRACK TIP FIELDS
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On quadratic isoparametric transition elements for a crack normal to a bimaterial interface
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Improvement of stress intensity factors computed from path‐independent integrals by Richardson's extrapolation
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Extended finite element method for three-dimensional crack modelling
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Limit analysis of cracked structures by mathematical programming and finite element technique
inferred← citeshttps://doi.org/10.1007/s004660050483openalex-snapshot
A review of SIF evaluation and modelling of singularities in BEM
inferred← citeshttps://doi.org/10.1007/s00603-015-0855-2openalex-snapshot
Experimental and Numerical Study on the Cracked Chevron Notched Semi-Circular Bend Method for Characterizing the Mode I Fracture Toughness of Rocks
inferred← citeshttps://doi.org/10.1007/s00603-018-1524-zopenalex-snapshot
A Further Improved Maximum Tangential Stress Criterion for Assessing Mode I Fracture of Rocks Considering Non-singular Stress Terms of the Williams Expansion
inferred← citeshttps://doi.org/10.1007/s00603-021-02541-9openalex-snapshot
Influences of Loading Method and Notch Type on Rock Fracture Toughness Measurements: From the Perspectives of T-Stress and Fracture Process Zone
inferred← citeshttps://doi.org/10.1007/s00603-025-04562-0openalex-snapshot
Approximate Formulas for the Energy Release Rate of a Crack Perpendicular to a Material Interface
inferred← citeshttps://doi.org/10.1007/s10704-006-6358-0openalex-snapshot
Mode II weight functions for isotropic and orthotropic double cantilever beams
inferred← citeshttps://doi.org/10.1007/s10704-006-6631-2openalex-snapshot
Stress intensity factor measurements from digital image correlation: post-processing and integrated approaches
inferred← citeshttps://doi.org/10.1007/s10704-006-9000-2openalex-snapshot
Multiple cohesive crack growth in brittle materials by the extended Voronoi cell finite element model
inferred← citeshttps://doi.org/10.1007/s10704-007-9078-1openalex-snapshot
A computational framework of configurational-force-driven brittle fracture based on incremental energy minimization
inferred← citeshttps://doi.org/10.1007/s10704-007-9154-6openalex-snapshot
An adaptive singular finite element in nonlinear fracture mechanics
inferred← citeshttps://doi.org/10.1007/s10704-009-9342-7openalex-snapshot
Modeling complex crack problems using the numerical manifold method
inferred← citeshttps://doi.org/10.1007/s10704-011-9645-3openalex-snapshot
A novel singular finite element on mixed-mode bimaterial interfacial cracks with arbitrary crack surface tractions
inferred← citeshttps://doi.org/10.1007/s10704-012-9786-zopenalex-snapshot
An edge-based smoothed XFEM for fracture in composite materials
inferred← citeshttps://doi.org/10.1007/s10704-013-9835-2openalex-snapshot
A simple and efficient XFEM approach for 3-D cracks simulations
inferred← citeshttps://doi.org/10.1007/s10704-016-0075-0openalex-snapshot
An analytical singular element for the study of cohesive zone model based crack propagation
inferred← citeshttps://doi.org/10.1007/s10704-018-0316-5openalex-snapshot
Viscoelastic crack analysis using symplectic analytical singular element combining with precise time-domain algorithm
inferred← citeshttps://doi.org/10.1007/s10704-023-00732-9openalex-snapshot
ProCrackPlast: a finite element tool to simulate 3D fatigue crack growth under large plastic deformations
inferred← citeshttps://doi.org/10.1007/s11340-009-9273-2openalex-snapshot
A Semi-Circular Bend Technique for Determining Dynamic Fracture Toughness
inferred← citeshttps://doi.org/10.1007/s11709-010-0008-3openalex-snapshot
Hazard potential of zones of weakness in gravity dams under impact loading conditions
inferred← citeshttps://doi.org/10.1007/s11709-015-0304-zopenalex-snapshot
Fatigue crack growth simulations of 3-D linear elastic cracks under thermal load by XFEM
inferred← citeshttps://doi.org/10.1007/s11831-018-9274-3openalex-snapshot
Challenges, Tools and Applications of Tracking Algorithms in the Numerical Modelling of Cracks in Concrete and Masonry Structures
inferred← citeshttps://doi.org/10.1016/0010-4361(86)90247-8openalex-snapshot
Interlaminar shear fracture of chopped strand mat glass fibre-reinforced polyester laminates
inferred← citeshttps://doi.org/10.1016/0013-7944(81)90083-7openalex-snapshot
On a finite element model for the analysis of through cracks in laminated anisotropic cylindrical shells
inferred← citeshttps://doi.org/10.1016/0013-7944(82)90027-3openalex-snapshot
Micromechanical studies of crack growth in fiber reinforced materials
inferred← citeshttps://doi.org/10.1016/0013-7944(83)90067-xopenalex-snapshot
Three-dimensional elastic-plastic finite element analysis of small surface cracks
inferred← citeshttps://doi.org/10.1016/0013-7944(83)90083-8openalex-snapshot
Influence of crack closure on the stress intensity factor for plates subjected to bending—A 3-D finite element analysis
inferred← citeshttps://doi.org/10.1016/0013-7944(84)90015-8openalex-snapshot
Back face rotation correction for trapezoidal specimens
inferred← citeshttps://doi.org/10.1016/0013-7944(84)90039-0openalex-snapshot
Viscoplastic analyses of a compact tension specimen in mode I loading
inferred← citeshttps://doi.org/10.1016/0013-7944(84)90110-3openalex-snapshot
Elastic-plastic analysis of small defects—voids and inclusions
inferred← citeshttps://doi.org/10.1016/0013-7944(84)90138-3openalex-snapshot
Micromechanical multiplane finite element modeling of crack growth in fiber reinforced materials
inferred← citeshttps://doi.org/10.1016/0013-7944(85)90029-3openalex-snapshot
A comparison of methods for calculating energy release rates
inferred← citeshttps://doi.org/10.1016/0013-7944(85)90115-8openalex-snapshot
Cyclic elastic-plastic analyses of cracks at defects
inferred← citeshttps://doi.org/10.1016/0013-7944(86)90094-9openalex-snapshot
The plane-strain, work-hardening response of an internally pressurized cylinder containing surface flaws
inferred← citeshttps://doi.org/10.1016/0013-7944(86)90121-9openalex-snapshot
A specimen geometry for plane mixed modes
inferred← citeshttps://doi.org/10.1016/0013-7944(86)90160-8openalex-snapshot
Fem analysis on mixed-mode fracture of CSM-GRP
inferred← citeshttps://doi.org/10.1016/0013-7944(86)90180-3openalex-snapshot
A new finite-element technique for modelling stable crack growth
inferred← citeshttps://doi.org/10.1016/0013-7944(86)90218-3openalex-snapshot
An integrated micromechanical and macromechanical approach to fracture behavior of fiber-reinforced composites
inferred← citeshttps://doi.org/10.1016/0013-7944(87)90203-7openalex-snapshot
Stress intensity factors for cracks in panels with uniformly spaced holes
inferred← citeshttps://doi.org/10.1016/0013-7944(88)90127-0openalex-snapshot
Investigation of stress concentration factor—stress intensity factor interaction for flaws in filleted rods
inferred← citeshttps://doi.org/10.1016/0013-7944(88)90129-4openalex-snapshot
On conventional and quarter-point mixed elements in linear elastic fracture mechanics
inferred← citeshttps://doi.org/10.1016/0013-7944(88)90184-1openalex-snapshot
Finite elements for the determination of plastic zone and mouth opening displacement (MOD) values of an edge cracked thin plate
inferred← citeshttps://doi.org/10.1016/0013-7944(88)90253-6openalex-snapshot
Zero thickness quarter point crack tip finite element for modeling an interface between two materials
inferred← citeshttps://doi.org/10.1016/0013-7944(89)90080-5openalex-snapshot
A note on some crack tip elements employed in two-dimensional elasto-plastic fracture mechanics
inferred← citeshttps://doi.org/10.1016/0013-7944(89)90168-9openalex-snapshot
Stress intensity factor evaluation from displacements along arbitrary crack tip radial lines for warped surface flaws
inferred← citeshttps://doi.org/10.1016/0013-7944(89)90208-7openalex-snapshot
A special crack tip element for bending of plates with through cracks from a sixth-order plate theory
inferred← citeshttps://doi.org/10.1016/0013-7944(89)90283-xopenalex-snapshot
Fatigue crack growth analyses of offshore structural tubular joints
showing the first 200 of 587
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