Improved XFEM (IXFEM): arbitrary multiple crack initiation, propagation and interaction analysis

DOI10.1016/j.cma.2024.116791OpenAlexW4391435997MaRDI QIDQ6202979

Li-Xiang Wang, Longfei Wen, Chun Feng, Rong Tian

Publication date: 26 March 2024

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.2024.116791

zbMATH Keywords

improved XFEM (IXFEM)adaptive interaction integralbenchmark setcompeting crack growthfully extra-DOF-free enrichmentlevel set templated cover cutting method (LSTCCM)

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Biology and other natural sciences (92-XX)

Cites Work

• Modeling complex crack problems using the numerical manifold method
• Stable generalized finite element method (SGFEM)
• Boundary element simulation of fatigue crack growth in multi-site damage
• A GPU-based parallel procedure for nonlinear analysis of complex structures using a coupled FEM/DEM approach
• Fatigue crack propagation of multiple coplanar cracks with the coupled extended finite element/fast marching method
• A simple and robust three-dimensional cracking-particle method without enrichment
• X-FEM a good candidate for energy conservation in simulation of brittle dynamic crack propagation
• Multiple crack fatigue growth modeling by displacement discontinuity method with crack-tip elements
• The partition of unity finite element method: basic theory and applications
• Numerical modelling of crack propagation: automatic remeshing and comparison of different criteria.
• Discontinuous enrichment in finite elements with a partition of unity method
• An adaptively refined XFEM with virtual node polygonal elements for dynamic crack problems
• Stable GFEM (SGFEM): improved conditioning and accuracy of GFEM/XFEM for three-dimensional fracture mechanics
• Improved XFEM -- an extra-DoF free, well-conditioning, and interpolating XFEM
• The orthonormalized generalized finite element method-OGFEM: efficient and stable reduction of approximation errors through multiple orthonormalized enriched basis functions
• Strong discontinuity embedded approach with standard SOS formulation: element formulation, energy-based crack-tracking strategy, and validations
• A coupled finite element -- element-free Galerkin method
• The design and analysis of the generalized finite element method
• Reformulation of elasticity theory for discontinuities and long-range forces
• A virtual element method for 2D linear elastic fracture analysis
• Three-dimensional improved XFEM (IXFEM) for static crack problems
• A stable generalized/extended FEM with discontinuous interpolants for fracture mechanics
• Improving the conditioning of XFEM/GFEM for fracture mechanics problems through enrichment quasi-orthogonalization
• A novel multi-grid based reanalysis approach for efficient prediction of fatigue crack propagation
• Loaded crack surfaces in two and three dimensions with XFEM
• Arbitrary 3D crack propagation with improved XFEM: accurate and efficient crack geometries
• Towards an extrinsic, CG-XFEM approach based on hierarchical enrichments for modeling progressive fracture
• Extended virtual element method for two-dimensional linear elastic fracture
• A simple particle-spring method for capturing the continuous-discontinuous processes of brittle materials
• A recycling preconditioning method with auxiliary tip subspace for elastic crack propagation simulation using XFEM
• A generalized finite element method without extra degrees of freedom for large deformation analysis of three-dimensional elastic and elastoplastic solids
• An automated mesh generation algorithm for simulating complex crack growth problems
• An enriched dual boundary element method formulation for linear elastic crack propagation
• A novel three-dimensional hydraulic fracturing model based on continuum-discontinuum element method
• Improved XFEM: accurate and robust dynamic crack growth simulation
• Adaptive consistent element-free Galerkin method for phase-field model of brittle fracture
• The enhanced extended finite element method for the propagation of complex branched cracks
• Reformulation of dynamic crack propagation using the numerical manifold method
• Extra-dof-free and linearly independent enrichments in GFEM
• A stable and optimally convergent generalized FEM (SGFEM) for linear elastic fracture mechanics
• Modeling of dynamic crack branching by enhanced extended finite element method
• An assessment of the phase field formulation for crack growth
• Complementarity problem arising from static growth of multiple cracks and MLS-based numerical manifold method
• Domain decomposition methods for 3D crack propagation problems using XFEM
• Improved XFEM (IXFEM): 3D dynamic crack propagation under impact loading
• Preconditioned numerical manifold method for linear elastic fractures
• Arbitrary discontinuities in finite elements
• THE NUMERICAL MANIFOLD METHOD: A REVIEW
• An XFEM method for modeling geometrically elaborate crack propagation in brittle materials
• Inexact Schwarz-algebraic multigrid preconditioners for crack problems modeled by extended finite element methods
• Numerical simulation of multiple crack growth in brittle materials with adaptive remeshing
• Harmonic enrichment functions: A unified treatment of multiple, intersecting and branched cracks in the extended finite element method
• A robust preconditioning technique for the extended finite element method
• Thermodynamically consistent phase-field models of fracture: Variational principles and multi-field FE implementations
• The extended/generalized finite element method: An overview of the method and its applications
• A multi-grid extended finite element method for elastic crack growth simulation
• An energy-conserving scheme for dynamic crack growth using the eXtended finite element method
• 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 corrected XFEM approximation without problems in blending elements
• Elastic crack growth in finite elements with minimal remeshing
• THE PARTITION OF UNITY METHOD
• Arbitrary branched and intersecting cracks with the extended finite element method
• A finite element method for crack growth without remeshing
• Fracture Mechanics
• A method for multiple crack growth in brittle materials without remeshing
• Cracking particles: a simplified meshfree method for arbitrary evolving cracks
• Improved XFEM for multiple crack analysis: accurate and efficient implementations for stress intensity factors
• A preconditioning method with auxiliary crack tip subproblems for dynamic crack propagation based on XFEM
• Unnamed Item

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