A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method

In this paper, a finite element simulation of nonlinear elasto-plastic deformations of Reissner-Mindlin bending plates is described. The previously proposed four-node Q4( element with transverse energy of shearing for thick bending plates is extended to account for isotropic material nonlinearities....

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Main Authors: Meftah Kamel, Sedira Lakhdar
Format: Article
Language:English
Published: Gruppo Italiano Frattura 2019-10-01
Series:Fracture and Structural Integrity
Subjects:
Online Access:https://www.fracturae.com/index.php/fis/article/view/2552/2716
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author Meftah Kamel
Sedira Lakhdar
author_facet Meftah Kamel
Sedira Lakhdar
author_sort Meftah Kamel
collection DOAJ
description In this paper, a finite element simulation of nonlinear elasto-plastic deformations of Reissner-Mindlin bending plates is described. The previously proposed four-node Q4( element with transverse energy of shearing for thick bending plates is extended to account for isotropic material nonlinearities. An incremental finite element procedure has been used for the elasto-plastic analysis of the thick bending plate. Modified Newton-Raphson method has been used to solve the nonlinear equations. Von-Mises yield criteria have been applied for yielding of the materials along with the associated flow rule. To verify the present element, simple tests are demonstrated and various elasto-plastic problems in which the development of the plastic zone are solved
format Article
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institution Kabale University
issn 1971-8993
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publishDate 2019-10-01
publisher Gruppo Italiano Frattura
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series Fracture and Structural Integrity
spelling doaj-art-0c16c243aa064adfb0b8be8f9486f83b2025-02-03T00:42:30ZengGruppo Italiano FratturaFracture and Structural Integrity1971-89932019-10-01135027628510.3221/IGF-ESIS.50.2310.3221/IGF-ESIS.50.23A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element methodMeftah KamelSedira LakhdarIn this paper, a finite element simulation of nonlinear elasto-plastic deformations of Reissner-Mindlin bending plates is described. The previously proposed four-node Q4( element with transverse energy of shearing for thick bending plates is extended to account for isotropic material nonlinearities. An incremental finite element procedure has been used for the elasto-plastic analysis of the thick bending plate. Modified Newton-Raphson method has been used to solve the nonlinear equations. Von-Mises yield criteria have been applied for yielding of the materials along with the associated flow rule. To verify the present element, simple tests are demonstrated and various elasto-plastic problems in which the development of the plastic zone are solvedhttps://www.fracturae.com/index.php/fis/article/view/2552/2716plate elementreissner-mindlin plateelasto-plasicitynonlinear analysis
spellingShingle Meftah Kamel
Sedira Lakhdar
A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method
Fracture and Structural Integrity
plate element
reissner-mindlin plate
elasto-plasicity
nonlinear analysis
title A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method
title_full A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method
title_fullStr A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method
title_full_unstemmed A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method
title_short A nonlinear elasto-plastic analysis of Reissner-Mindlin plates by finite element method
title_sort nonlinear elasto plastic analysis of reissner mindlin plates by finite element method
topic plate element
reissner-mindlin plate
elasto-plasicity
nonlinear analysis
url https://www.fracturae.com/index.php/fis/article/view/2552/2716
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