A novel variable power singular element in G space with strain smoothing for bi-material fracture analyses

DOI10.1016/j.enganabound.2011.06.007zbMath1259.74028OpenAlexW1965537865MaRDI QIDQ1944606

Lei Chen, Jian Zhang, Gui-Rong Liu, Kai-Yang Zeng

Publication date: 25 March 2013

Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.enganabound.2011.06.007

zbMATH Keywords

numerical methodstress intensity factor\(M\)-integralsingular elementbi-materialstrain smoothingG spacevariable singularity

Mathematics Subject Classification ID

Brittle fracture (74R10) Stress concentrations, singularities in solid mechanics (74G70) Finite element methods applied to problems in solid mechanics (74S05)

Related Items (6)

A Novel Pick-Out Theory and Technique for Constructing the Smoothed Derivatives of Functions for Numerical Methods ⋮ A NOVEL TRIANGULAR FINITE ELEMENT PARTITION METHOD FOR FRACTURE SIMULATION WITHOUT ENRICHMENT OF INTERPOLATION ⋮ An Overview on Meshfree Methods: For Computational Solid Mechanics ⋮ JuSFEM: a Julia-based open-source package of parallel smoothed finite element method (S-FEM) for elastic problems ⋮ Smoothed finite element methods (S-FEM): an overview and recent developments ⋮ An accurate and efficient algorithm for the simulation of fatigue crack growth based on XFEM and combined approximations

Cites Work

• Unnamed Item
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• A meshfree method based on the local partition of unity for cohesive cracks
• A smoothed finite element method for mechanics problems
• Boundary element analysis of fracture mechanics in anisotropic bimaterials
• A semi-analytical solution for multiple circular inhomogeneities in one of two joined isotropic elastic half-planes
• Stresses in bonded materials with a crack perpendicular to the interface
• Arbitrary discontinuities in finite elements
• A novel singular node-based smoothed finite element method (NS-FEM) for upper bound solutions of fracture problems
• Assessment of smoothed point interpolation methods for elastic mechanics
• Collapsed isoparametric element as a singular element for a crack normal to the bi-material interface
• Stabilized conforming nodal integration in the natural-element method
• Numerically determined enrichment functions for the extended finite element method and applications to bi-material anisotropic fracture and polycrystals
• A GENERALIZED GRADIENT SMOOTHING TECHNIQUE AND THE SMOOTHED BILINEAR FORM FOR GALERKIN FORMULATION OF A WIDE CLASS OF COMPUTATIONAL METHODS
• Isoparametric elements for a crack normal to the interface between two bonded layers
• Techniques for developing ‘special’ finite element shape functions with particular reference to singularities
• Mixed Mode Cracking in Layered Materials
• A degenerate solid element for linear fracture analysis of plate bending and general shells
• Analysis of power type singularities using finite elements
• Families of consistent conforming elements with singular derivative fields
• Elastic crack growth in finite elements with minimal remeshing
• Node-based uniform strain elements for three-node triangular and four-node tetrahedral meshes
• Partition of unity enrichment for bimaterial interface cracks
• A finite element method for crack growth without remeshing
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part I theory

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