A general method for recovering equilibrating element tractions
type: Item
instance of: scholarly article
title: A general method for recovering equilibrating element tractions
zbMATH Open document ID: 0886.73065
DOI: 10.1016/S0045-7825(96)01067-5
author: E. A. W. Maunder
author: P. Ladevèze
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1998-05-17T00:00:00Z
review text: A geometrical presentation of a general method for recovering equilibrating element tractions is developed for two-dimensional finite element models in structural mechanics. The data for the method consists of the prescribed loading and the stress fields resulting from a conventional linear elastic finite element analysis. The geometrical presentation utilises the physical concepts of nodal forces and Maxwell force diagrams based on nodal equilibrium. Only small problems have to be solved for each node. Detailed examples are included to illustrate the presentation.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K99
zbMATH DE Number: 1057514
zbMATH Keywords: geometrical presentation
zbMATH Keywords: linear elastic finite element analysis
zbMATH Keywords: nodal forces
zbMATH Keywords: Maxwell force diagrams
MaRDI profile type: Publication
cites work: Error Estimate Procedure in the Finite Element Method and Applications
cites work: Accuracy and optimal meshes in finite element computation for nearly incompressible materials
cites work: Some A Posteriori Error Estimators for Elliptic Partial Differential Equations
cites work: Procedures for residual equilibration and local error estimation in the finite element method
cites work: A posteriori error estimation for \(h-p\) approximations in elastostatics
cites work: Element by element a posteriori error estimation and improvement of stress solutions for two‐dimensional elastic problems
cites work: Numerical comparison of several a posteriori error estimators for 2D stress analysis
cites work: A posteriori error estimators related to equilibrium defaults of finite element solutions for elastostatic problems
cites work: Validation of a posteriori error estimators by numerical approach
cites work: Recent experiences with error estimation and adaptivity. II: Error estimation for \(h\)-adaptive approximations on grids of triangles and quadrilaterals
cites work: Sur l'adaptativité des maillages à base de quadrilatères
cites work: Q4883474
cites work: Pollution-error in the \(h\)-version of the finite-element method and the local quality of a posteriori error estimators
Wikidata QID: Q126377056
full work available at URL: s0045-7825(96)01067-5
OpenAlex ID: W2060383701
description: scientific article; zbMATH DE number 1057514