Stable 3D XFEM/vector level sets for non-Planar 3D crack propagation and comparison of enrichment schemes
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Publication:6557595
DOI10.1002/nme.5611zbMATH Open1548.74751MaRDI QIDQ6557595
Stéphane Pierre Alain Bordas, Giulio Ventura, Konstantinos Agathos, E. N. Chatzi
Publication date: 18 June 2024
Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)
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)
Cites Work
- Unnamed Item
- Well-conditioning global-local analysis using stable generalized/extended finite element method for linear elastic fracture mechanics
- Analysis and applications of a generalized finite element method with global-local enrichment functions
- Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
- Modeling quasi-static crack growth with the extended finite element method. II: Numerical applications
- The design and analysis of the generalized finite element method
- Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation
- Stable 3D extended finite elements with higher order enrichment for accurate non planar fracture
- A posteriori error estimation for generalized finite element methods
- Stabilized X-FEM for heaviside and nonlinear enrichments
- Substructuring FE-XFE approaches applied to three-dimensional crack propagation
- Modelling crack growth by level sets in the extended finite element method
- Crack propagation with the extended finite element method and a hybrid explicit-implicit crack description
- Three-dimensional integration strategies of singular functions introduced by the XFEM in the LEFM
- Representation of singular fields without asymptotic enrichment in the extended finite element method
- Equivalent polynomials for quadrature in Heaviside function enriched elements
- 3D corrected XFEM approach and extension to finite deformation theory
- On the performance of strain smoothing for quadratic and enriched finite element approximations (XFEM/GFEM/PUFEM)
- A robust preconditioning technique for the extended finite element method
- Improved implementation and robustness study of the X-FEM for stress analysis around cracks
- On the elimination of quadrature subcells for discontinuous functions in the eXtended Finite-Element Method
- Integration of singular enrichment functions in the generalized/extended finite element method for three-dimensional problems
- A study of the representation of cracks with level sets
- An extended finite element library
- A substructured FE-shell/XFE-3D method for crack analysis in thin-walled structures
- Blending in the extended finite element method by discontinuous Galerkin and assumed strain methods
- A recovery-type error estimator for the extended finite element method based onsingular+smoothstress field splitting
- Three-dimensional non-planar crack growth by a coupled extended finite element and fast marching method
- A posteriorierror estimation for extended finite elements by an extended global recovery
- Fast integration and weight function blending in the extended finite element method
- Enhanced blending elements for XFEM applied to linear elastic fracture mechanics
- Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
- Numerical integration over arbitrary polygonal domains based on Schwarz-Christoffel conformal mapping
- Elastic crack growth in finite elements with minimal remeshing
- On the construction of blending elements for local partition of unity enriched finite elements
- New crack‐tip elements for XFEM and applications to cohesive cracks
- Vector level sets for description of propagating cracks in 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
- On error estimator and p‐adaptivity in the generalized finite element method
- High-order extended finite element method for cracked domains
- A generalized finite element method for the simulation of three-dimensional dynamic crack propagation.
- A well-conditioned and optimally convergent XFEM for 3D linear elastic fracture
Related Items (3)
An improved crack tracking algorithm with self-correction ability of the crack path and its application in a continuum damage model ⋮ An XFEM multilayered heaviside enrichment for fracture propagation with reduced enhanced degrees of freedom ⋮ Accelerating structural dynamics simulations with localised phenomena through matrix compression and projection-based model order reduction
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