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A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates

Yan Shang, Chen-Feng Li, Ming-Jue Zhou, Chenfeng Li Orcid Logo

Engineering Analysis with Boundary Elements, Volume: 106, Pages: 452 - 461

Swansea University Author: Chenfeng Li Orcid Logo

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DOI (Published version): 10.1016/j.enganabound.2019.06.002

Abstract

In this work, a simple but robust 4-node displacement-based Trefftz plate element is proposed for efficiently analysis of orthotropic plate structures. This is achieved via two steps. First, the element's deflection and rotation fields are directly formulated at the base of the Trefftz function...

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Published in: Engineering Analysis with Boundary Elements
ISSN: 0955-7997
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa50903
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first_indexed 2019-06-24T14:56:19Z
last_indexed 2019-06-25T18:19:46Z
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spelling 2019-06-25T11:34:28.1756280 v2 50903 2019-06-24 A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates 82fe170d5ae2c840e538a36209e5a3ac 0000-0003-0441-211X Chenfeng Li Chenfeng Li true false 2019-06-24 CIVL In this work, a simple but robust 4-node displacement-based Trefftz plate element is proposed for efficiently analysis of orthotropic plate structures. This is achieved via two steps. First, the element's deflection and rotation fields are directly formulated at the base of the Trefftz functions of the orthotropic Mindlin–Reissner plate. Second, to ensure the convergence property and further enhance the element performance, the generalized conforming theory is employed to satisfy the requirement for interelement compatibility in weak sense. The resulting displacement-based element belongs to the nonconforming models on coarse meshes and gradually converges into a conforming one with the mesh refinement. Numerical benchmarks reveal that the new element can produce high precision results for both displacement and stress resultant. Moreover, it is free of shear locking and has good tolerances to mesh distortions. Journal Article Engineering Analysis with Boundary Elements 106 452 461 0955-7997 Displacement-based Trefftz element, Mindlin–Reissner plate, Generalized conforming, Locking free, Mesh distortion 31 12 2019 2019-12-31 10.1016/j.enganabound.2019.06.002 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-06-25T11:34:28.1756280 2019-06-24T10:16:26.5628160 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Yan Shang 1 Chen-Feng Li 2 Ming-Jue Zhou 3 Chenfeng Li 0000-0003-0441-211X 4 0050903-25062019113320.pdf shang2019(2).pdf 2019-06-25T11:33:20.8970000 Output 805435 application/pdf Accepted Manuscript true 2020-06-19T00:00:00.0000000 false eng
title A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
spellingShingle A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
Chenfeng Li
title_short A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
title_full A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
title_fullStr A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
title_full_unstemmed A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
title_sort A novel displacement-based Trefftz plate element with high distortion tolerance for orthotropic thick plates
author_id_str_mv 82fe170d5ae2c840e538a36209e5a3ac
author_id_fullname_str_mv 82fe170d5ae2c840e538a36209e5a3ac_***_Chenfeng Li
author Chenfeng Li
author2 Yan Shang
Chen-Feng Li
Ming-Jue Zhou
Chenfeng Li
format Journal article
container_title Engineering Analysis with Boundary Elements
container_volume 106
container_start_page 452
publishDate 2019
institution Swansea University
issn 0955-7997
doi_str_mv 10.1016/j.enganabound.2019.06.002
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 In this work, a simple but robust 4-node displacement-based Trefftz plate element is proposed for efficiently analysis of orthotropic plate structures. This is achieved via two steps. First, the element's deflection and rotation fields are directly formulated at the base of the Trefftz functions of the orthotropic Mindlin–Reissner plate. Second, to ensure the convergence property and further enhance the element performance, the generalized conforming theory is employed to satisfy the requirement for interelement compatibility in weak sense. The resulting displacement-based element belongs to the nonconforming models on coarse meshes and gradually converges into a conforming one with the mesh refinement. Numerical benchmarks reveal that the new element can produce high precision results for both displacement and stress resultant. Moreover, it is free of shear locking and has good tolerances to mesh distortions.
published_date 2019-12-31T04:02:35Z
_version_ 1763753229482459136
score 11.016235

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