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Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates

Chenfeng Li Orcid Logo

Engineering Computations, Volume: 34, Issue: 2

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1108/EC-04-2016-0143

Abstract

PurposeA simple shape-free high-order hybrid displacement function element method is presented for precise bending analyses of Mindlin-Reissner plates. Three distortion-resistant and locking-free eight-node plate elements are proposed by utilizing this method.Design/methodology/approachThis method i...

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Published in: Engineering Computations
ISSN: 0264-4401
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa29668
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2017-06-02T14:12:26.1515001</datestamp><bib-version>v2</bib-version><id>29668</id><entry>2016-08-30</entry><title>Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates</title><swanseaauthors><author><sid>82fe170d5ae2c840e538a36209e5a3ac</sid><ORCID>0000-0003-0441-211X</ORCID><firstname>Chenfeng</firstname><surname>Li</surname><name>Chenfeng Li</name><active>true</active><ethesisStudent>false</ethesisStudent></author></swanseaauthors><date>2016-08-30</date><deptcode>CIVL</deptcode><abstract>PurposeA simple shape-free high-order hybrid displacement function element method is presented for precise bending analyses of Mindlin-Reissner plates. Three distortion-resistant and locking-free eight-node plate elements are proposed by utilizing this method.Design/methodology/approachThis method is based on the principle of minimum complementary energy, in which the trial functions for resultant fields are derived from two displacement functions, F and f, and satisfy all governing equations. Meanwhile, the element boundary displacements are determined by the locking-free arbitrary order Timoshenko&#x2019;s beam functions. Then, three locking-free 8-node, 24-DOF quadrilateral plate bending elements, HDF-P8-23&#x3B2; for general cases, HDF-P8-SS1 for edge effects along soft simply supported (SS1) boundary, and HDF-P8-FREE for edge effects along free boundary, are formulated.FindingsThe proposed elements can pass all patch tests, exhibit excellent convergence and possess superior precision when compared to all other existing 8-node models, and can still provide good and stable results even when extremely coarse and distorted meshes are used. They can also effectively solve the edge effect by accurately capturing the peak value and the dramatical variations of resultants near the SS1 and Free boundaries. The proposed 8-node models possess the potential in the engineering application and could be easily integrated into the commercial software.Originality/valueThis work presents a new scheme, which can take the advantages of both analytical and discrete methods, to develop high-order mesh-distortion resistant Mindlin-Reissner plate bending elements.</abstract><type>Journal Article</type><journal>Engineering Computations</journal><volume>34</volume><journalNumber>2</journalNumber><publisher/><issnPrint>0264-4401</issnPrint><keywords/><publishedDay>18</publishedDay><publishedMonth>4</publishedMonth><publishedYear>2017</publishedYear><publishedDate>2017-04-18</publishedDate><doi>10.1108/EC-04-2016-0143</doi><url/><notes/><college>COLLEGE NANME</college><department>Civil Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>CIVL</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2017-06-02T14:12:26.1515001</lastEdited><Created>2016-08-30T08:55:57.9095008</Created><path><level id="1">Faculty of Science and Engineering</level><level id="2">School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering</level></path><authors><author><firstname>Chenfeng</firstname><surname>Li</surname><orcid>0000-0003-0441-211X</orcid><order>1</order></author></authors><documents><document><filename>0029668-30082016085623.pdf</filename><originalFilename>li2016v4.pdf</originalFilename><uploaded>2016-08-30T08:56:23.1500000</uploaded><type>Output</type><contentLength>9153973</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2018-02-21T00:00:00.0000000</embargoDate><copyrightCorrect>false</copyrightCorrect></document></documents><OutputDurs/></rfc1807>
spelling 2017-06-02T14:12:26.1515001 v2 29668 2016-08-30 Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2016-08-30 CIVL PurposeA simple shape-free high-order hybrid displacement function element method is presented for precise bending analyses of Mindlin-Reissner plates. Three distortion-resistant and locking-free eight-node plate elements are proposed by utilizing this method.Design/methodology/approachThis method is based on the principle of minimum complementary energy, in which the trial functions for resultant fields are derived from two displacement functions, F and f, and satisfy all governing equations. Meanwhile, the element boundary displacements are determined by the locking-free arbitrary order Timoshenko’s beam functions. Then, three locking-free 8-node, 24-DOF quadrilateral plate bending elements, HDF-P8-23β for general cases, HDF-P8-SS1 for edge effects along soft simply supported (SS1) boundary, and HDF-P8-FREE for edge effects along free boundary, are formulated.FindingsThe proposed elements can pass all patch tests, exhibit excellent convergence and possess superior precision when compared to all other existing 8-node models, and can still provide good and stable results even when extremely coarse and distorted meshes are used. They can also effectively solve the edge effect by accurately capturing the peak value and the dramatical variations of resultants near the SS1 and Free boundaries. The proposed 8-node models possess the potential in the engineering application and could be easily integrated into the commercial software.Originality/valueThis work presents a new scheme, which can take the advantages of both analytical and discrete methods, to develop high-order mesh-distortion resistant Mindlin-Reissner plate bending elements. Journal Article Engineering Computations 34 2 0264-4401 18 4 2017 2017-04-18 10.1108/EC-04-2016-0143 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2017-06-02T14:12:26.1515001 2016-08-30T08:55:57.9095008 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Chenfeng Li 0000-0003-0441-211X 1 0029668-30082016085623.pdf li2016v4.pdf 2016-08-30T08:56:23.1500000 Output 9153973 application/pdf Accepted Manuscript true 2018-02-21T00:00:00.0000000 false
title Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates
spellingShingle Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates
Chenfeng Li
title_short Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates
title_full Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates
title_fullStr Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates
title_full_unstemmed Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates
title_sort Distortion-resistant and locking-free eight-node elements effectively capturing the edge effects of Mindlin-Reissner plates
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Chenfeng Li
format Journal article
container_title Engineering Computations
container_volume 34
container_issue 2
publishDate 2017
institution Swansea University
issn 0264-4401
doi_str_mv 10.1108/EC-04-2016-0143
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering
document_store_str 1
active_str 0
description PurposeA simple shape-free high-order hybrid displacement function element method is presented for precise bending analyses of Mindlin-Reissner plates. Three distortion-resistant and locking-free eight-node plate elements are proposed by utilizing this method.Design/methodology/approachThis method is based on the principle of minimum complementary energy, in which the trial functions for resultant fields are derived from two displacement functions, F and f, and satisfy all governing equations. Meanwhile, the element boundary displacements are determined by the locking-free arbitrary order Timoshenko’s beam functions. Then, three locking-free 8-node, 24-DOF quadrilateral plate bending elements, HDF-P8-23β for general cases, HDF-P8-SS1 for edge effects along soft simply supported (SS1) boundary, and HDF-P8-FREE for edge effects along free boundary, are formulated.FindingsThe proposed elements can pass all patch tests, exhibit excellent convergence and possess superior precision when compared to all other existing 8-node models, and can still provide good and stable results even when extremely coarse and distorted meshes are used. They can also effectively solve the edge effect by accurately capturing the peak value and the dramatical variations of resultants near the SS1 and Free boundaries. The proposed 8-node models possess the potential in the engineering application and could be easily integrated into the commercial software.Originality/valueThis work presents a new scheme, which can take the advantages of both analytical and discrete methods, to develop high-order mesh-distortion resistant Mindlin-Reissner plate bending elements.
published_date 2017-04-18T03:36:05Z
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score 11.037603

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