A new weight-function enrichment in meshless methods for multiple cracks in linear elasticity

DOI10.1002/nme.3313zbMath1242.74200OpenAlexW1935073333MaRDI QIDQ2894990

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Publication date: 2 July 2012

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

Full work available at URL: https://doi.org/10.1002/nme.3313

zbMATH Keywords

meshlessmultiple cracksenrichment

Mathematics Subject Classification ID

Related Items (15)

Stress fields in 3D-elastic material containing multiple interacting cracks of arbitrary shapes: efficient calculation ⋮ On tracking arbitrary crack path with complex variable meshless methods ⋮ Extended meshless method based on partition of unity for solving multiple crack problems ⋮ An element-free method for in-plane notch problems with anisotropic materials ⋮ A finite element method with mesh-separation-based approximation technique and its application in modeling crack propagation with adaptive mesh refinement ⋮ An interface/boundary-unfitted eXtended HDG method for linear elasticity problems ⋮ MESHLESS FINITE VOLUME METHOD WITH SMOOTHING ⋮ Fully enriched weight functions in mesh-free methods for the analysis of linear elastic fracture mechanics problems ⋮ NURBS distance fields for extremely curved cracks ⋮ A multi-cracked particle method for complex fracture problems in 2D ⋮ XLME interpolants, a seamless bridge between XFEM and enriched meshless methods ⋮ Three-dimensional crack propagation with distance-based discontinuous kernels in meshfree methods ⋮ A numerical integration strategy of meshless numerical manifold method based on physical cover and applications to linear elastic fractures ⋮ A \(J\)-\textit{integral}-based arc-length solver for brittle and ductile crack propagation in finite deformation-finite strain hyperelastic solids with an application to graphene kirigami ⋮ A meshless method for the nonlinear von Kármán plate with multiple folds of complex shape. A bridge between cracks and folds

Uses Software

• XFEM

Cites Work

• Unnamed Item
• A simple and robust three-dimensional cracking-particle method without enrichment
• Element-free Galerkin methods for static and dynamic fracture
• Imposing essential boundary conditions in mesh-free methods
• Meshless methods: a review and computer implementation aspects
• Modeling mixed-mode dynamic crack propagation using finite elements: Theory and applications
• A general method for multiple crack problems in a finite plate
• Numerical integration of the Galerkin weak form in meshfree methods
• Large deformation analysis of rubber based on a reproducing kernel particle method
• Meshless methods: An overview and recent developments
• Reproducing kernel particle methods for large deformation analysis of nonlinear structures
• Fatigue crack growth analysis by an enriched meshless method
• Accurate fracture modelling using meshless methods, the visibility criterion and level sets: Formulation and 2D modelling
• Higher-order extended finite elements with harmonic enrichment functions for complex crack problems
• Harmonic enrichment functions: A unified treatment of multiple, intersecting and branched cracks in the extended finite element method
• Coupled meshfree and fractal finite element method for mixed mode two-dimensional crack problems
• DYNAMIC FRACTURE USING ELEMENT-FREE GALERKIN METHODS
• A meshless method with enriched weight functions for fatigue crack growth
• A meshless method with enriched weight functions for three-dimensional crack propagation
• An extended finite element library
• Elastic crack growth in finite elements with minimal remeshing
• Element‐free Galerkin methods
• THE PARTITION OF UNITY METHOD
• Arbitrary branched and intersecting cracks with the extended finite element method
• Reproducing kernel particle methods
• A finite element method for crack growth without remeshing
• The intrinsic XFEM: a method for arbitrary discontinuities without additional unknowns
• Cracking particles: a simplified meshfree method for arbitrary evolving cracks

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