Asymptotic deformation modes of benchmark problems suitable for evaluating shell elements
type: Item
instance of: scholarly article
title: Asymptotic deformation modes of benchmark problems suitable for evaluating shell elements
zbMATH Open document ID: 1107.74043
author: Demetres Briassoulis
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2006-03-08T00:00:00Z
review text: This paper finds its motivation in significant advances, but also in complications made apparent recently with regard to the definition of limiting cases for the analysis of asymptotic behavior of benchmark shell problems, e.g., the inhibited pure bending case and the non-inhibited pure bending case, which fail to model the mixed-mode deformation case. Here the author proposes a simple analytical approach for determining the asymptotic deformation modes of selected benchmark problems suitable for the evaluation of asymptotic behavior of shell elements. The various modes encountered with the asymptotic analysis of these shell problems are clearly defined in a very simple way, leading to explicit expressions for the corresponding characteristic asymptotes. These expressions may be used as benchmark characteristic asymptotes for membrane-dominated, bending-dominated and mixed membrane-bending mode shell problems. Among the considered benchmark problems, it is worth to mention the pinched cylinder with free ends, the pinched hemispherical shell, the cylindrical shell with free ends under normal periodic pressure, the hyperbolic paraboloid shell problem, the pinched cylinder with diaphragm supported ends and the Scordelis-Lo roof problem.
reviewed by: Michel Bernadou
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 74K25
Mathematics Subject Classification ID: 74G10
zbMATH DE Number: 5009878
zbMATH Keywords: finite elements
zbMATH Keywords: pinched cylinder
zbMATH Keywords: Scordelis-Lo roof
MaRDI profile type: Publication
full work available at URL: j.cma.2004.07.038
OpenAlex ID: W1977786540
cites work: Fundamental considerations for the finite element analysis of shell structures
cites work: The inf-sup test
cites work: Testing the asymptotic behaviour of shell elements?Part I: the classical benchmark tests
cites work: Testing the asymptotic behaviour of shell elements?Part II: New limit tests: analytical solutions and the RFNS element case
cites work: Q5672320
cites work: Shell deformation states and the finite element method: A benchmark study of cylindrical shells
cites work: THE FOUR-NODE C0 SHELL ELEMENT REFORMULATED
cites work: Analysis of the load carrying mechanisms of shells using the reformulated four-node C0 shell element—The Scordelis-Lo barrel vault problem
cites work: On a stress resultant geometrically exact shell model. II: The linear theory; computational aspects
DOI: 10.1016/J.CMA.2004.07.038
Recommended article: Shell deformation states and the finite element method: A benchmark study of cylindrical shells
Recommended article: Asymptotic Methods in the Buckling Theory of Elastic Shells
Recommended article: Q3721921
Recommended article: Q3823222
Recommended article: Asymptotic method of investigating the deformation of cylindrical shells with holes
Recommended article: Evaluation of some shear deformable shell elements
Recommended article: Correct asymptotic theories for the axisymmetric deformation of thin and moderately thick cylindrical shells
Recommended article: Q4394691
Recommended article: Q4512243
Recommended article: Variational principles and hybrid approach for finite deformation analysis of shells
description: scientific article; zbMATH DE number 5009878