Arbitrary polygon mesh for elastic and elastoplastic analysis of solids using smoothed finite element method

DOI10.1016/j.cma.2022.115874OpenAlexW4313612045MaRDI QIDQ2683461

Yanyan Li

Publication date: 10 February 2023

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.2022.115874

zbMATH Keywords

elastoplasticitysmoothed finite element methodgradient smoothingS-FEMear clipping techniquenon-convex polygonal elements

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Numerical analysis (65-XX)

Related Items (1)

A novel node-to-segment algorithm in smoothed finite element method for contact problems

Uses Software

• FLagSHyP

Cites Work

• Unnamed Item
• Unnamed Item
• Polygonal finite element methods for contact-impact problems on non-conformal meshes
• A low order 3D virtual element formulation for finite elasto-plastic deformations
• Implementation of the virtual element method for coupled thermo-elasticity in Abaqus
• Smoothed finite element methods (S-FEM): an overview and recent developments
• Mimetic finite difference method
• A dual scaled boundary finite element formulation over arbitrary faceted star convex polyhedra
• A novel virtual node method for polygonal elements
• Computational inelasticity
• A new 3-D finite element for nonlinear elasticity using the theory of a Cosserat point.
• Parallelized ear clipping for the triangulation and constrained Delaunay triangulation of polygons
• A smoothed coupled NS/\(n\)ES-FEM for dynamic analysis of 2D fluid-solid interaction problems
• Serendipity nodal VEM spaces
• A stochastic perturbation edge-based smoothed finite element method for the analysis of uncertain structural-acoustics problems with random variables
• On singular ES-FEM for fracture analysis of solids with singular stress fields of arbitrary order
• On the virtual element method for three-dimensional linear elasticity problems on arbitrary polyhedral meshes
• A virtual element method for contact
• Efficient virtual element formulations for compressible and incompressible finite deformations
• A brief review on polygonal/polyhedral finite element methods
• A sharp-interface immersed smoothed finite element method for interactions between incompressible flows and large deformation solids
• Phase-field modeling of brittle fracture using an efficient virtual element scheme
• Polytopal composite finite elements
• Node-based smoothed radial point interpolation method for electromagnetic-thermal coupled analysis
• Veamy: an extensible object-oriented C++ library for the virtual element method
• Efficient and flexible Matlab implementation of 2D and 3D elastoplastic problems
• Curvilinear virtual elements for contact mechanics
• Error estimation for the polygonal finite element method for smooth and singular linear elasticity
• A unified-implementation of smoothed finite element method (UI-SFEM) for simulating biomechanical responses of multi-materials orthodontics
• An \(n\)-sided polygonal selective smoothed finite element method for nearly incompressible visco-hyperelastic soft materials
• Curvilinear virtual elements for 2D solid mechanics applications
• A virtual element method for isotropic hyperelasticity
• A virtual element formulation for general element shapes
• Virtual elements for finite thermo-plasticity problems
• Some basic formulations of the virtual element method (VEM) for finite deformations
• Application of discontinuous Galerkin method to mechanical 2D problem with arbitrary polygonal and very high-order finite elements
• Quadratic maximum-entropy serendipity shape functions for arbitrary planar polygons
• Mean value coordinates in 3D
• A virtual element method for elastic and inelastic problems on polytope meshes
• 3D mixed virtual element formulation for dynamic elasto-plastic analysis
• Polygon scaled boundary finite elements for crack propagation modelling
• A displacement-based finite element formulation for general polyhedra using harmonic shape functions
• Gradient correction for polygonal and polyhedral finite elements
• Mean-strain eight-node hexahedron with optimized energy-sampling stabilization for large-strain deformation
• Mathematical Basis of G Spaces
• An Overview on Meshfree Methods: For Computational Solid Mechanics
• APPLICATION OF POLYGONAL FINITE ELEMENTS IN LINEAR ELASTICITY
• 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 GENERALIZED GRADIENT SMOOTHING TECHNIQUE AND THE SMOOTHED BILINEAR FORM FOR GALERKIN FORMULATION OF A WIDE CLASS OF COMPUTATIONAL METHODS
• A Cell-Based Smoothed Finite Element Method for Arbitrary Polygonal Element to Solve Incompressible Laminar Flow
• A finite deformation brick element with inhomogeneous mode enhancement
• Polygons Have Ears
• Non-linear version of stabilized conforming nodal integration for Galerkin mesh-free methods
• AN OVERVIEW ON SMOOTHED PARTICLE HYDRODYNAMICS
• A NORMED G SPACE AND WEAKENED WEAK (W²) FORMULATION OF A CELL-BASED SMOOTHED POINT INTERPOLATION METHOD
• A Locking-Free Face-Based S-FEM via Averaging Nodal Pressure using 4-Nodes Tetrahedrons for 3D Explicit Dynamics and Quasi-statics
• Static and Free Vibration Analyses of Functionally Graded Carbon Nanotube Reinforced Composite Plates using CS-DSG3
• Phase Field Modeling of Brittle Fracture Based on the Cell-Based Smooth FEM by Considering Spectral Decomposition
• Dynamic Response of the Piezoelectric Materials Based on Cell-Based Smoothed Finite Element Method in Hygrothermal Environment
• Contact Analysis Based on a Linear Strain Node-Based Smoothed Finite Element Method with Linear Complementarity Formulations
• Automatic Adaptive Recovery Stress ES-FEM for Lower-Bound Limit Load Analysis of Structures
• Selective Cell-Based Smoothed Finite Element Method Using 10-Node Tetrahedral Element with Radial Element Subdivision
• Geometrically Nonlinear Analysis of Laminated Composite Plates Using Cell- and Edge-Based Smoothing MITC3 Finite Elements
• New perspectives on polygonal and polyhedral finite element methods
• Addressing integration error for polygonal finite elements through polynomial projections: A patch test connection
• Accurate Viscoelastic Large Deformation Analysis Using F-Bar Aided Edge-Based Smoothed Finite Element Method for 4-Node Tetrahedral Meshes (F-BarES-FEM-T4)
• Solution Bounds and Nearly Exact Solutions for 3D Nonlinear Problems of Large Deformation of Solids Using S-Fem
• A G space theory and a weakened weak (W² ) form for a unified formulation of compatible and incompatible methods: Part I theory
• 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
• Gradient Bounds for Wachspress Coordinates on Polytopes
• Nonlinear Solid Mechanics for Finite Element Analysis: Statics

This page was built for publication: Arbitrary polygon mesh for elastic and elastoplastic analysis of solids using smoothed finite element method