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Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect

Yan Shang, Song Cen, Zhi Li, Chen-Feng Li, Chenfeng Li Orcid Logo

International Journal for Numerical Methods in Engineering

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1002/nme.5496

Abstract

For a Mindlin–Reissner plate subjected to transverse loadings, the distributions of the rotations and some resultant forces may vary very sharply within a narrow district near certain boundaries. This edge effect is indeed a great challenge for conventional finite element analysis. Recently, an effe...

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Published in: International Journal for Numerical Methods in Engineering
ISSN: 00295981
Published: 2017
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URI: https://cronfa.swan.ac.uk/Record/cronfa32717
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spelling 2017-07-31T14:32:38.1231042 v2 32717 2017-03-27 Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2017-03-27 CIVL For a Mindlin–Reissner plate subjected to transverse loadings, the distributions of the rotations and some resultant forces may vary very sharply within a narrow district near certain boundaries. This edge effect is indeed a great challenge for conventional finite element analysis. Recently, an effective hybrid displacement function (HDF) finite element method was successfully developed for solving such difficulty [1, 2]. Although good performances can be obtained in most cases, the distribution continuity of some resulting resultants is destroyed when coarse meshes are employed. Moreover, an additional local coordinate system must be used for avoiding a singular problem in matrix inversion, which makes the derivations more complicated. Based on a modified complementary energy functional containing Lagrangian multipliers, an improved HDF (IHDF) element scheme is proposed in this work. And two new special IHDF elements, named by IHDF-P4-Free and IHDF-P4-SS1, are constructed for modeling plate behaviors near free and soft simply supported boundaries, respectively. The present modeling scheme not only greatly improves the precision of the numerical results but also avoids usage of the additional local Coordinate system. The numerical tests demonstrate that the new IHDF element scheme is an effective way for solving the challenging edge effect problem in Mindlin–Reissner plates. Journal Article International Journal for Numerical Methods in Engineering 00295981 finite element; improved hybrid displacement function (IHDF) element scheme; Mindlin–Reissner plate; edge effect; Lagrangian multiplier 31 12 2017 2017-12-31 10.1002/nme.5496 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2017-07-31T14:32:38.1231042 2017-03-27T11:15:02.1367879 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yan Shang 1 Song Cen 2 Zhi Li 3 Chen-Feng Li 4 Chenfeng Li 0000-0003-0441-211X 5 0032717-15052017092157.pdf shang2017.pdf 2017-05-15T09:21:57.8270000 Output 9052101 application/pdf Accepted Manuscript true 2018-02-22T00:00:00.0000000 true eng
title Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect
spellingShingle Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect
Chenfeng Li
title_short Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect
title_full Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect
title_fullStr Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect
title_full_unstemmed Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect
title_sort Improved hybrid displacement function (IHDF) element scheme for analysis of Mindlin-Reissner plate with edge effect
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Yan Shang
Song Cen
Zhi Li
Chen-Feng Li
Chenfeng Li
format Journal article
container_title International Journal for Numerical Methods in Engineering
publishDate 2017
institution Swansea University
issn 00295981
doi_str_mv 10.1002/nme.5496
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 For a Mindlin–Reissner plate subjected to transverse loadings, the distributions of the rotations and some resultant forces may vary very sharply within a narrow district near certain boundaries. This edge effect is indeed a great challenge for conventional finite element analysis. Recently, an effective hybrid displacement function (HDF) finite element method was successfully developed for solving such difficulty [1, 2]. Although good performances can be obtained in most cases, the distribution continuity of some resulting resultants is destroyed when coarse meshes are employed. Moreover, an additional local coordinate system must be used for avoiding a singular problem in matrix inversion, which makes the derivations more complicated. Based on a modified complementary energy functional containing Lagrangian multipliers, an improved HDF (IHDF) element scheme is proposed in this work. And two new special IHDF elements, named by IHDF-P4-Free and IHDF-P4-SS1, are constructed for modeling plate behaviors near free and soft simply supported boundaries, respectively. The present modeling scheme not only greatly improves the precision of the numerical results but also avoids usage of the additional local Coordinate system. The numerical tests demonstrate that the new IHDF element scheme is an effective way for solving the challenging edge effect problem in Mindlin–Reissner plates.
published_date 2017-12-31T03:40:11Z
_version_ 1763751820618891264
score 11.037603

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