A consistent equilibrium in a cross-section of an elastic-plastic beam
type: Item
instance of: scholarly article
title: A consistent equilibrium in a cross-section of an elastic-plastic beam
zbMATH Open document ID: 0968.74044
DOI: 10.1016/S0020-7683(97)00327-2
author: B. Vratanar
author: Miran Saje
published in: International Journal of Solids and Structures
publication date: 2001-09-18T00:00:00Z
review text: The authors deal with inequalities for stresses determined from equilibrium equations and those obtained from constitutive equations in cross-sections of beams and shells in the case of standard finite element formulations. Starting from the Reissner finite strain beam theory, the authors discuss in detail a phenomenon termed here as ``inconsistent equilibrium'' for a plane finite-strain elastic-plastic beam. The rotation of the centroid axis of the beam is considered as the only unknown function, and a balance function is introduced which ``measures'' the error. Numerical results are given in tables and diagrams for two finite element formulations for both consistent and inconsistent equilibria in cross-section.
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74C05
zbMATH DE Number: 1342453
zbMATH Keywords: rotation function
zbMATH Keywords: inconsistent equilibrium
zbMATH Keywords: Reissner finite strain beam theory
zbMATH Keywords: plane finite-strain elastic-plastic beam
zbMATH Keywords: balance function
reviewed by: Petre P. Teodorescu
MaRDI profile type: Publication
full work available at URL: s0020-7683(97)00327-2
OpenAlex ID: W2075571924
description: scientific article; zbMATH DE number 1342453