An efficient methodology for stress-based finite element approximations in two-dimensional elasticity

DOI10.1002/nme.6458zbMATH Open1548.74788MaRDI QIDQ6553432

José P. Moitinho de Almeida, Unnamed Author

Publication date: 11 June 2024

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

zbMATH Keywords

elasticitysolid mechanicshybrid finite elementsstress approximationequilibrium finite elements

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Cites Work

• Unnamed Item
• Unnamed Item
• An accurate, robust, and easy-to-implement method for integration over arbitrary polyhedra: application to embedded interface methods
• Strict error bounds for linear solid mechanics problems using a subdomain-based flux-free method
• A general method for recovering equilibrating element tractions
• Dual analysis with general boundary conditions
• Upper bounds of the error in local quantities using equilibrated and compatible finite element solutions for linear elastic problems
• On the techniques for constructing admissible stress fields in model verification: Performances on engineering examples
• Proper generalized decomposition of a geometrically parametrized heat problem with geophysical applications
• Equilibrium Finite Element Formulations
• Pure equilibrium tetrahedral finite elements for global error estimation by dual analysis
• Gmsh: A 3-D finite element mesh generator with built-in pre- and post-processing facilities
• Recovery of equilibrium on star patches using a partition of unity technique
• A GENERAL FORMULATION OF EQUILIBRIUM MACRO-ELEMENTS WITH CONTROL OF SPURIOUS KINEMATIC MODES: THE EXORCISM OF AN OLD CURSE
• A SET OF HYBRID EQUILIBRIUM FINITE ELEMENT MODELS FOR THE ANALYSIS OF THREE-DIMENSIONAL SOLIDS
• Mastering Calculations in Linear and Nonlinear Mechanics
• Integration of Area Coordinates in Matrix Structural Anallysis
• Modèles équilibre pour l'analyse duale
• Recovering local equilibrium from three-dimensional compatible finite element solutions
• Error estimation for proper generalized decomposition solutions: a dual approach

Related Items (3)

Error estimation for proper generalized decomposition solutions: dual analysis and adaptivity for quantities of interest ⋮ Hybrid equilibrium element with high-order stress fields for accurate elastic dynamic analysis ⋮ Error estimation for proper generalized decomposition solutions: a dual approach

This page was built for publication: An efficient methodology for stress-based finite element approximations in two-dimensional elasticity