A note on enrichment functions for modelling crack nucleation

DOI10.1002/cnm.641zbMath1047.74536OpenAlexW2022891591MaRDI QIDQ4446949

J. Bellec, John E. Dolbow

Publication date: 3 February 2004

Published in: Communications in Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/cnm.641

zbMATH Keywords

fracturenucleationextended finite element

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

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Extended finite element method for fretting fatigue crack propagation ⋮ Extended finite element method on polygonal and quadtree meshes ⋮ Computational methods for fracture in brittle and quasi-brittle solids: state-of-the-art review and future perspectives ⋮ A method for multiple crack growth in brittle materials without remeshing ⋮ An X-FEM approach for large sliding contact along discontinuities ⋮ Analysis of three-dimensional fracture mechanics problems: A two-scale approach using coarse-generalized FEM meshes ⋮ Coarse-graining of multiscale crack propagation ⋮ An extended finite element method for hydraulic fracture problems ⋮ A Partition of Unity-Based Multiscale Method ⋮ A local multigrid X-FEM strategy for 3-D crack propagation ⋮ A state-of-the-art review of the X-FEM for computational fracture mechanics ⋮ New development in extended finite element modeling of large elasto-plastic deformations ⋮ A three-dimensional meshfree method for continuous multiple-crack initiation, propagation and junction in statics and dynamics ⋮ 2-D crack propagation analysis using stable generalized finite element method with global-local enrichments

Cites Work

• The partition of unity finite element method: basic theory and applications
• From damage to fracture mechanics and conversely: A combined approach
• Discontinuous enrichment in finite elements with a partition of unity method
• Modeling fracture in Mindlin-Reissner plates with the extended finite element method
• The design and analysis of the generalized finite element method
• A new method for modelling cohesive cracks using finite elements
• A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity
• Extended finite element method for three-dimensional crack modelling
• Arbitrary branched and intersecting cracks with the extended finite element method
• A finite element method for crack growth without remeshing
• A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.

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