An element‐based formulation for ES‐FEM and FS‐FEM models for implementation in standard solid mechanics finite element codes for 2D and 3D static analysis

DOI10.1002/NME.7126OpenAlexW4297900412MaRDI QIDQ6092174

Daniele Colombo, Manfred Staat, Unnamed Author, Unnamed Author

Publication date: 23 November 2023

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.7126

zbMATH Keywords

cantilever beamsmoothed finite element methoddistorted elementcubic cantilevernon-simplex S-FEM element

Mathematics Subject Classification ID

Rods (beams, columns, shafts, arches, rings, etc.) (74K10) Finite element methods applied to problems in solid mechanics (74S05)

Cites Work

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• Smoothed finite element methods (S-FEM): an overview and recent developments
• A smoothed finite element method for mechanics problems
• Analysis of plates and shells using an edge-based smoothed finite element method
• A theoretical study on the smoothed FEM (S-FEM) models: Properties, accuracy and convergence rates
• An n-sided polygonal edge-based smoothed finite element method (nES-FEM) for solid mechanics
• A face-based smoothed finite element method (FS-FEM) for 3D linear and geometrically non-linear solid mechanics problems using 4-node tetrahedral elements
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part II applications to solid mechanics problems

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