The development of DKMQ plate bending element for thick to thin shell analysis based on the Naghdi/Reissner/Mindlin shell theory

Irwan Katili; Jean Louis Batoz; Imam Jauhari Maknun; Aziz Hamdouni; Olivier Millet

doi:10.1016/j.finel.2015.02.005

The development of DKMQ plate bending element for thick to thin shell analysis based on the Naghdi/Reissner/Mindlin shell theory

Irwan Katili, Jean Louis Batoz, Imam Jauhari Maknun, Aziz Hamdouni, Olivier Millet

Department of Civil Engineering

Research output: Contribution to journal › Article › peer-review

51 Citations (Scopus)

Abstract

This paper presents a new simple four-node quadrilateral shell element with 24-dof which can be used to analyze thick and thin shell problems. This element which is developed from DKMQ plate element using the Naghdi/Mindlin/Reissner shell theory can take into account warping effects and coupling bending-membrane energy. This element, called DKMQ24, passed patch tests for membrane, bending and shear problems. It has also successfully passed benchmark tests in the case of thick and thin shells without shear locking. Moreover, the numerical results obtained with DKMQ24 converge toward the reference solution.

Original language	English
Pages (from-to)	12-27
Number of pages	16
Journal	Finite Elements in Analysis and Design
Volume	100
DOIs	https://doi.org/10.1016/j.finel.2015.02.005
Publication status	Published - Aug 2015

Keywords

Bending-Membrane
DKMQ24
Energy
Quadrilateral
Thick and thin shell
Warping effect

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10.1016/j.finel.2015.02.005

Cite this

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title = "The development of DKMQ plate bending element for thick to thin shell analysis based on the Naghdi/Reissner/Mindlin shell theory",

abstract = "This paper presents a new simple four-node quadrilateral shell element with 24-dof which can be used to analyze thick and thin shell problems. This element which is developed from DKMQ plate element using the Naghdi/Mindlin/Reissner shell theory can take into account warping effects and coupling bending-membrane energy. This element, called DKMQ24, passed patch tests for membrane, bending and shear problems. It has also successfully passed benchmark tests in the case of thick and thin shells without shear locking. Moreover, the numerical results obtained with DKMQ24 converge toward the reference solution.",

keywords = "Bending-Membrane, DKMQ24, Energy, Quadrilateral, Thick and thin shell, Warping effect",

author = "Irwan Katili and Batoz, {Jean Louis} and Maknun, {Imam Jauhari} and Aziz Hamdouni and Olivier Millet",

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AU - Katili, Irwan

AU - Batoz, Jean Louis

AU - Maknun, Imam Jauhari

AU - Hamdouni, Aziz

AU - Millet, Olivier

PY - 2015/8

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N2 - This paper presents a new simple four-node quadrilateral shell element with 24-dof which can be used to analyze thick and thin shell problems. This element which is developed from DKMQ plate element using the Naghdi/Mindlin/Reissner shell theory can take into account warping effects and coupling bending-membrane energy. This element, called DKMQ24, passed patch tests for membrane, bending and shear problems. It has also successfully passed benchmark tests in the case of thick and thin shells without shear locking. Moreover, the numerical results obtained with DKMQ24 converge toward the reference solution.

AB - This paper presents a new simple four-node quadrilateral shell element with 24-dof which can be used to analyze thick and thin shell problems. This element which is developed from DKMQ plate element using the Naghdi/Mindlin/Reissner shell theory can take into account warping effects and coupling bending-membrane energy. This element, called DKMQ24, passed patch tests for membrane, bending and shear problems. It has also successfully passed benchmark tests in the case of thick and thin shells without shear locking. Moreover, the numerical results obtained with DKMQ24 converge toward the reference solution.

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KW - DKMQ24

KW - Energy

KW - Quadrilateral

KW - Thick and thin shell

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SN - 0168-874X

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JO - Finite Elements in Analysis and Design

JF - Finite Elements in Analysis and Design

ER -

The development of DKMQ plate bending element for thick to thin shell analysis based on the Naghdi/Reissner/Mindlin shell theory

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Keywords

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