8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes
From MaRDI portal
Publication:660213
DOI10.1016/j.cma.2011.04.014zbMath1230.74173OpenAlexW1988476279MaRDI QIDQ660213
Song Cen, Xiang-Rong Fu, Ming-Jue Zhou
Publication date: 1 February 2012
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.2011.04.014
finite elementstress functionfundamental analytical solutionshybrid stress-function (HS-F) elementseverely distorted meshthe principle of minimum complementary energy
Related Items (31)
A new enhanced assumed strain quadrilateral membrane element with drilling degree of freedom and modified shape functions ⋮ Characteristic equation solution strategy for deriving fundamental analytical solutions of 3D isotropic elasticity ⋮ A shape-free 8-node plane element unsymmetric analytical trial function method ⋮ An effective membrane element based on analytical solution ⋮ A meshless local natural neighbour interpolation method to modeling of functionally graded viscoelastic materials ⋮ Free vibration of moderately thick functionally graded plates by a meshless local natural neighbor interpolation method ⋮ New formulation of quasi-conforming method: a simple membrane element for analysis of planar problems ⋮ A Degenerated Plane Truss Model of Base Force Element Method on Complementary Energy Principle ⋮ Incompatible modes with Cartesian coordinates and application in quadrilateral finite element formulation ⋮ A conforming triangular plane element with rotational degrees of freedom ⋮ A novel shape-free plane quadratic polygonal hybrid stress-function element ⋮ Accurate element of compressive bar considering the effect of displacement ⋮ Penalty \(\mathrm{C}^0 8\)-node quadrilateral and 20-node hexahedral elements for consistent couple stress elasticity based on the unsymmetric finite element method ⋮ Hybrid displacement function element method: a simple hybrid-Trefftz stress element method for analysis of Mindlin-Reissner plate ⋮ Distortion-immune nine-node displacement-based quadrilateral thick plate finite elements that satisfy constant-bending patch test ⋮ An effective hybrid displacement function element method for solving the edge effect of Mindlin-Reissner plate ⋮ Two 8‐node quadrilateral unsymmetric elements with different incompatible modes immune to severe distortion ⋮ An unsymmetric 4-node, 8-DOF plane membrane element perfectly breaking through MacNeal's theorem ⋮ An efficient 4‐node facet shell element for the modified couple stress elasticity ⋮ A dual decomposition of the closest point projection in incremental elasto‐plasticity using a mixed shell finite element ⋮ New nonconforming finite elements on arbitrary convex quadrilateral meshes ⋮ Quasi-Static Crack Propagation Modeling Using Shape-Free Hybrid Stress-Function Elements with Drilling Degrees of Freedom ⋮ A quasi-static crack propagation simulation based on shape-free hybrid stress-function finite elements with simple remeshing ⋮ Rotationally invariant distortion resistant finite-elements ⋮ Shape-free finite element method: another way between mesh and mesh-free methods ⋮ Application of base force element method to mesomechanics analysis for concrete ⋮ A two-dimensional base force element method using concave polygonal mesh ⋮ Identification of elastic orthotropic material parameters by the scaled boundary finite element method ⋮ A brief review on polygonal/polyhedral finite element methods ⋮ 8-node quasi-conforming plane element by using Bernstein basis functions ⋮ 8-node unsymmetric distortion-immune element based on Airy stress solutions for plane orthotropic problems
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A technique to develop mesh-distortion immune finite elements
- A generalized conforming isoparametric element
- A novel FEM by scaling the gradient of strains with factor \(\alpha\) (\(\alpha\)FEM)
- Efficient implementation of quadrilaterals with high coarse-mesh accuracy
- A 17-node quadrilateral spline finite element using the triangular area coordinates
- Hexahedral volume coordinate method (HVCM) and improvements on 3D Wilson hexahedral element
- Rational approach for assumed stress finite elements
- Formulation of Quasi-Conforming element and Hu-Washizu principle
- A new quadrilateral area coordinate method (QACM-II) for developing quadrilateral finite element models
- Generalization of selective integration procedures to anisotropic and nonlinear media
- Plane isoparametric hybrid-stress elements: Invariance and optimal sampling
- Alternative ways for formulation of hybrid stress elements
- A non-conforming element for stress analysis
- A systematic construction of B-bar functions for linear and non-linear mixed-enhanced finite elements for plane elasticity problems
- Effects of element distortions on the performance of isoparametric elements
- A novel unsymmetric 8-node plane element immune to mesh distortion under a quadratic displacement field
- Analytical trial function method for development of new 8‐node plane element based on the variational principle containing Airy stress function
- A class of mixed assumed strain methods and the method of incompatible modes
- Remedies to rotational frame dependence and interpolation failure of US‐QUAD8 element
- A 20‐node hexahedron element with enhanced distortion tolerance
- Generalized conforming triangular membrane element with vertex rigid rotational freedoms
- BEM for thermoelasticity and elasticity with body force -- a revisit
This page was built for publication: 8- and 12-node plane hybrid stress-function elements immune to severely distorted mesh containing elements with concave shapes