An adaptively refined XFEM with virtual node polygonal elements for dynamic crack problems
From MaRDI portal
Publication:1622482
DOI10.1007/s00466-018-1553-1zbMath1469.74108OpenAlexW2785900004WikidataQ113327277 ScholiaQ113327277MaRDI QIDQ1622482
Publication date: 19 November 2018
Published in: Computational Mechanics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00466-018-1553-1
element-free Galerkin methodstress intensity factoradaptive re-meshingfatigue crack growth simulation
Singularities, blow-up, stress concentrations for dynamical problems in solid mechanics (74H35) Brittle fracture (74R10) Finite element methods applied to problems in solid mechanics (74S05)
Related Items (7)
Crack growth adaptive XIGA simulation in isotropic and orthotropic materials ⋮ Modification of the grid-characteristic method on Chimera meshes for 3D problems of railway non-destructive testing ⋮ The enhanced extended finite element method for the propagation of complex branched cracks ⋮ Grid convergence analysis of grid-characteristic method on Chimera meshes in ultrasonic nondestructive testing of railroad rail ⋮ Improved XFEM (IXFEM): arbitrary multiple crack initiation, propagation and interaction analysis ⋮ Towards an extrinsic, CG-XFEM approach based on hierarchical enrichments for modeling progressive fracture ⋮ The enriched degree of freedom method for the absorbing boundary and its application to XFEM in elastodynamic problems
Cites Work
- Unnamed Item
- Well-conditioning global-local analysis using stable generalized/extended finite element method for linear elastic fracture mechanics
- A simple and efficient preconditioning scheme for Heaviside enriched XFEM
- On the enrichment zone size for optimal convergence rate of the generalized/extended finite element method
- Stability and convergence proofs for a discontinuous-Galerkin-based extended finite element method for fracture mechanics
- Local modification of meshes for adaptive and/or multigrid finite-element methods
- Extended finite element method on polygonal and quadtree meshes
- An a-posteriori error estimator for linear elastic fracture mechanics using the stable generalized/extended finite element method
- A novel virtual node method for polygonal elements
- Conservation laws in elasticity of the J-integral type
- A new meshless local Petrov-Galerkin (MLPG) approach in computational mechanics
- On adaptive multilevel superposition of finite element meshes for linear elastostatics
- The partition of unity finite element method: basic theory and applications
- Modeling quasi-static crack growth with the extended finite element method. I: Computer implementation
- Crack propagation modelling using an advanced remeshing technique
- Three-dimensional fracture propagation with numerical manifold method
- Modeling and simulation of kinked cracks by virtual node XFEM
- Enrichment strategies and convergence properties of the XFEM for hydraulic fracture problems
- A novel virtual node hexahedral element with exact integration and octree meshing
- Improved XFEM -- an extra-DoF free, well-conditioning, and interpolating XFEM
- Fatigue crack growth analysis by an enriched meshless method
- Multiple-cracked fatigue crack growth by BEM
- A simple and less-costly meshless local Petrov-Galerkin (MLPG) method for the dynamic fracture problem
- 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
- Isogeometric boundary element methods for three dimensional static fracture and fatigue crack growth
- Exact integration scheme for planewave-enriched partition of unity finite element method to solve the Helmholtz problem
- Error-controlled adaptive extended finite element method for 3D linear elastic crack propagation
- A novel twice-interpolation finite element method for solid mechanics problems
- Modeling of dynamic crack branching by enhanced extended finite element method
- On the use of the extended finite element method with quadtree/octree meshes
- hp-adaptive extended finite element method
- Three-dimensional integration strategies of singular functions introduced by the XFEM in the LEFM
- Convergence of domain integrals for stress intensity factor extraction in 2-D curved cracks problems with the extended finite element method
- Nondestructive identification of multiple flaws using XFEM and a topologically adapting artificial bee colony algorithm
- Hanging nodes and XFEM
- A theoretical study on the smoothed FEM (S-FEM) models: Properties, accuracy and convergence rates
- The extended/generalized finite element method: An overview of the method and its applications
- Three-dimensional crack growth simulation using BEM
- Improving the accuracy of XFEM crack tip fields using higher order quadrature and statically admissible stress recovery
- An optimally convergent discontinuous Galerkin-based extended finite element method for fracture mechanics
- Developing new enrichment functions for crack simulation in orthotropic media by the extended finite element method
- A Mixed-Mode Crack Analysis of Isotropic Solids Using Conservation Laws of Elasticity
- The dual boundary element method: Effective implementation for crack problems
- The Element Free Galerkin method for dynamic propagation of arbitrary 3-D cracks
- Automated 3-D crack growth simulation
- Extended finite element method for three-dimensional crack modelling
- Arbitrary branched and intersecting cracks with the extended finite element method
- 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
This page was built for publication: An adaptively refined XFEM with virtual node polygonal elements for dynamic crack problems