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High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments

Yan Shang, Song Cen, Zheng-Hua Qian, Chenfeng Li Orcid Logo

Engineering Computations, Volume: 35, Issue: 7, Pages: 2543 - 2556

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1108/EC-04-2018-0200

Abstract

PurposeThis paper aims to propose a simple but robust three-node triangular membrane element with rational drilling DOFs for efficiently analyzing plane problems.Design/methodology/approachThis new element is developed within the general framework of unsymmetric FEM. The element test functions are d...

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Published in: Engineering Computations
ISSN: 0264-4401
Published: 2018
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URI: https://cronfa.swan.ac.uk/Record/cronfa45295
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fullrecord <?xml version="1.0"?><rfc1807><datestamp>2019-01-07T16:06:51.0835983</datestamp><bib-version>v2</bib-version><id>45295</id><entry>2018-10-30</entry><title>High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments</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>2018-10-30</date><deptcode>CIVL</deptcode><abstract>PurposeThis paper aims to propose a simple but robust three-node triangular membrane element with rational drilling DOFs for efficiently analyzing plane problems.Design/methodology/approachThis new element is developed within the general framework of unsymmetric FEM. The element test functions are determined by using a conforming displacement field which is slightly different with the classical Allman&#x2019;s interpolations, while a self-equilibrated stress field formulated based on the analytical airy stress solutions is adopted as the trial functions. To ensure the correctness between the drilling DOFs and the true rotations in elasticity, reasonable constraints are introduced through the penalty function method. Moreover, the special quadrature strategy is used for operating related integrations for future enrichment of element behavior.FindingsNumerical benchmark tests reveal that this new triangular membrane element has exceptional prediction capabilities. In particular, this element can correctly reproduce a rigid body rotation motion and correctly undertake the external in-plane twisting moments; thus, it is a reasonable choice for being used to formulate flat shell elements or to be connected with other kind of elements with physical rotational DOFs.Originality/valueThis work provides a new approach for developing high-performance lower-order elements with simple formulations and good numerical accuracies.</abstract><type>Journal Article</type><journal>Engineering Computations</journal><volume>35</volume><journalNumber>7</journalNumber><paginationStart>2543</paginationStart><paginationEnd>2556</paginationEnd><publisher/><issnPrint>0264-4401</issnPrint><keywords>Membrane element, Drilling DOF, In-plane twisting moment, Physical rotation, Unsymmetric FEM</keywords><publishedDay>31</publishedDay><publishedMonth>12</publishedMonth><publishedYear>2018</publishedYear><publishedDate>2018-12-31</publishedDate><doi>10.1108/EC-04-2018-0200</doi><url/><notes/><college>COLLEGE NANME</college><department>Civil Engineering</department><CollegeCode>COLLEGE CODE</CollegeCode><DepartmentCode>CIVL</DepartmentCode><institution>Swansea University</institution><apcterm/><lastEdited>2019-01-07T16:06:51.0835983</lastEdited><Created>2018-10-30T12:18:42.4998979</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>Yan</firstname><surname>Shang</surname><order>1</order></author><author><firstname>Song</firstname><surname>Cen</surname><order>2</order></author><author><firstname>Zheng-Hua</firstname><surname>Qian</surname><order>3</order></author><author><firstname>Chenfeng</firstname><surname>Li</surname><orcid>0000-0003-0441-211X</orcid><order>4</order></author></authors><documents><document><filename>0045295-06112018094557.pdf</filename><originalFilename>shang2018.pdf</originalFilename><uploaded>2018-11-06T09:45:57.1200000</uploaded><type>Output</type><contentLength>791374</contentLength><contentType>application/pdf</contentType><version>Accepted Manuscript</version><cronfaStatus>true</cronfaStatus><embargoDate>2019-10-01T00:00:00.0000000</embargoDate><copyrightCorrect>true</copyrightCorrect><language>eng</language></document></documents><OutputDurs/></rfc1807>
spelling 2019-01-07T16:06:51.0835983 v2 45295 2018-10-30 High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2018-10-30 CIVL PurposeThis paper aims to propose a simple but robust three-node triangular membrane element with rational drilling DOFs for efficiently analyzing plane problems.Design/methodology/approachThis new element is developed within the general framework of unsymmetric FEM. The element test functions are determined by using a conforming displacement field which is slightly different with the classical Allman’s interpolations, while a self-equilibrated stress field formulated based on the analytical airy stress solutions is adopted as the trial functions. To ensure the correctness between the drilling DOFs and the true rotations in elasticity, reasonable constraints are introduced through the penalty function method. Moreover, the special quadrature strategy is used for operating related integrations for future enrichment of element behavior.FindingsNumerical benchmark tests reveal that this new triangular membrane element has exceptional prediction capabilities. In particular, this element can correctly reproduce a rigid body rotation motion and correctly undertake the external in-plane twisting moments; thus, it is a reasonable choice for being used to formulate flat shell elements or to be connected with other kind of elements with physical rotational DOFs.Originality/valueThis work provides a new approach for developing high-performance lower-order elements with simple formulations and good numerical accuracies. Journal Article Engineering Computations 35 7 2543 2556 0264-4401 Membrane element, Drilling DOF, In-plane twisting moment, Physical rotation, Unsymmetric FEM 31 12 2018 2018-12-31 10.1108/EC-04-2018-0200 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-01-07T16:06:51.0835983 2018-10-30T12:18:42.4998979 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yan Shang 1 Song Cen 2 Zheng-Hua Qian 3 Chenfeng Li 0000-0003-0441-211X 4 0045295-06112018094557.pdf shang2018.pdf 2018-11-06T09:45:57.1200000 Output 791374 application/pdf Accepted Manuscript true 2019-10-01T00:00:00.0000000 true eng
title High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments
spellingShingle High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments
Chenfeng Li
title_short High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments
title_full High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments
title_fullStr High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments
title_full_unstemmed High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments
title_sort High-performance unsymmetric 3-node triangular membrane element with drilling DOFs can correctly undertake in-plane moments
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Yan Shang
Song Cen
Zheng-Hua Qian
Chenfeng Li
format Journal article
container_title Engineering Computations
container_volume 35
container_issue 7
container_start_page 2543
publishDate 2018
institution Swansea University
issn 0264-4401
doi_str_mv 10.1108/EC-04-2018-0200
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 PurposeThis paper aims to propose a simple but robust three-node triangular membrane element with rational drilling DOFs for efficiently analyzing plane problems.Design/methodology/approachThis new element is developed within the general framework of unsymmetric FEM. The element test functions are determined by using a conforming displacement field which is slightly different with the classical Allman’s interpolations, while a self-equilibrated stress field formulated based on the analytical airy stress solutions is adopted as the trial functions. To ensure the correctness between the drilling DOFs and the true rotations in elasticity, reasonable constraints are introduced through the penalty function method. Moreover, the special quadrature strategy is used for operating related integrations for future enrichment of element behavior.FindingsNumerical benchmark tests reveal that this new triangular membrane element has exceptional prediction capabilities. In particular, this element can correctly reproduce a rigid body rotation motion and correctly undertake the external in-plane twisting moments; thus, it is a reasonable choice for being used to formulate flat shell elements or to be connected with other kind of elements with physical rotational DOFs.Originality/valueThis work provides a new approach for developing high-performance lower-order elements with simple formulations and good numerical accuracies.
published_date 2018-12-31T03:57:02Z
_version_ 1763752880622272512
score 11.036706

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