Arbitrary 3D crack propagation with improved XFEM: accurate and efficient crack geometries
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Publication:2021932
DOI10.1016/j.cma.2020.113659zbMath1506.74371OpenAlexW3122969883WikidataQ114196905 ScholiaQ114196905MaRDI QIDQ2021932
Longfei Wen, Guizhong Xiao, Rong Tian
Publication date: 27 April 2021
Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cma.2020.113659
Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)
Related Items (7)
Improved XFEM for multiple crack analysis: accurate and efficient implementations for stress intensity factors ⋮ A moment quadrature method for uncertainty quantification of three-dimensional crack propagation via extremely few model runs ⋮ Improved XFEM (IXFEM): 3D dynamic crack propagation under impact loading ⋮ A novel approach to compute the spatial gradients of enriching functions in the X-FEM with a hybrid representation of cracks ⋮ A preconditioning method with auxiliary crack tip subproblems for dynamic crack propagation based on XFEM ⋮ Preconditioned numerical manifold method for linear elastic fractures ⋮ Improved XFEM (IXFEM): arbitrary multiple crack initiation, propagation and interaction analysis
Uses Software
Cites Work
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- Fast and robust level set update for 3D non-planar X-FEM crack propagation modelling
- An implicit geometrical approach to level sets update for 3D non planar X-FEM crack propagation
- Three-dimensional crack growth with \(hp\)-generalized finite element and face offsetting methods
- The intrinsic partition of unity method
- Modelling of cohesive crack growth in concrete structures with the extended finite element method
- Energy-based modeling of cohesive and cohesionless cracks via X-FEM
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Numerical schemes for the Hamilton-Jacobi and level set equations on triangulated domains
- Domain integral formulation for stress intensity factor computation along curved three-dimensional interface cracks
- An extended finite element method with higher-order elements for curved cracks
- Improved XFEM -- an extra-DoF free, well-conditioning, and interpolating XFEM
- A coupled finite element -- element-free Galerkin method
- Three-dimensional improved XFEM (IXFEM) for static crack problems
- Improved XFEM: accurate and robust dynamic crack growth simulation
- 3-D local mesh refinement XFEM with variable-node hexahedron elements for extraction of stress intensity factors of straight and curved planar cracks
- 3D crack propagation with cohesive elements in the extended finite element method
- Domain integral formulation for 3-D curved and non-planar cracks with the extended finite element method
- Extra-dof-free and linearly independent enrichments in GFEM
- Arbitrary discontinuities in finite elements
- Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description
- Cohesive and non-cohesive fracture by higher-order enrichment of XFEM
- Convergence of domain integrals for stress intensity factor extraction in 2-D curved cracks problems with the extended finite element method
- Improvements of explicit crack surface representation and update within the generalized finite element method with application to three-dimensional crack coalescence
- The extended/generalized finite element method: An overview of the method and its applications
- Algorithms for smoothing data with periodic and parametric splines
- A method for dynamic crack and shear band propagation with phantom nodes
- Level set X-FEM non-matching meshes: application to dynamic crack propagation in elastic–plastic media
- A study of the representation of cracks with level sets
- A corrected XFEM approximation without problems in blending elements
- Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method
- Fast integration and weight function blending in the extended finite element method
- A local multigrid X-FEM strategy for 3-D crack propagation
- hp-Generalized FEM and crack surface representation for non-planar 3-D cracks
- An Algorithm for Finding Best Matches in Logarithmic Expected Time
- Elastic crack growth in finite elements with minimal remeshing
- On the construction of blending elements for local partition of unity enriched finite elements
- Extended finite element method for three-dimensional crack modelling
- Non-planar 3D crack growth by the extended finite element and level sets-Part I: Mechanical model
- A finite element method for crack growth without remeshing
- Element‐local level set method for three‐dimensional dynamic crack growth
- The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns
- High-order extended finite element method for cracked domains
- Modeling holes and inclusions by level sets in the extended finite element method
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