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NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes

Mattia Montanari Orcid Logo, Gian Maria Santi, Rubén Sevilla Orcid Logo, Liverani Alfredo, Nik Petrinic

Finite Elements in Analysis and Design, Volume: 231, Start page: 104099

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1016/j.finel.2023.104099

Abstract

This paper formulates quadrilateral elements for the NURBS-enhanced finite element method (NEFEM). The objective is to extend the application of NEFEM to problems where the use of quadrilateral elements is preferred. By leveraging a mapping, between reference and physical spaces, that encapsulates t...

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Published in: Finite Elements in Analysis and Design
ISSN: 0168-874X
Published: Elsevier BV 2024
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URI: https://cronfa.swan.ac.uk/Record/cronfa65195
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first_indexed 2023-12-04T12:01:31Z
last_indexed 2023-12-04T12:01:31Z
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spelling v2 65195 2023-12-04 NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2023-12-04 CIVL This paper formulates quadrilateral elements for the NURBS-enhanced finite element method (NEFEM). The objective is to extend the application of NEFEM to problems where the use of quadrilateral elements is preferred. By leveraging a mapping, between reference and physical spaces, that encapsulates the exact boundary representation of the domain, a tight integration with computer aided design (CAD) systems is achieved. The contribution of this work is an enhanced quadrilateral finite element that incorporates the exact CAD geometry purely from the boundary representation (B-rep) from CAD and without the need for a whole volume representation (V-rep) as a NURBS entity. Numerical examples involving heat transfer and linear elastic problems are used to numerically demonstrate the optimal convergence properties of the method under mesh refinement. Journal Article Finite Elements in Analysis and Design 231 104099 Elsevier BV 0168-874X NEFEMCAD, integration, Quadrilateral elements 1 4 2024 2024-04-01 10.1016/j.finel.2023.104099 http://dx.doi.org/10.1016/j.finel.2023.104099 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University SU Library paid the OA fee (TA Institutional Deal) The permission of Rolls-Royce to publish this paper is gratefully acknowledged. This research forms part of the Rolls-Royce led EPSRC Prosperity Partnership EP/S005072/1 entitled Strategic Partnership in Computational Science for Advanced Simulation and Modelling of Virtual Systems: ASiMoV. 2024-04-03T16:34:16.2068841 2023-12-04T11:57:13.3264296 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Mattia Montanari 0000-0002-7714-5932 1 Gian Maria Santi 2 Rubén Sevilla 0000-0002-0061-6214 3 Liverani Alfredo 4 Nik Petrinic 5 65195__29901__a00754b4f168449baff8298c01cd134c.pdf 65195.VOR.pdf 2024-04-03T16:31:35.5409257 Output 2600245 application/pdf Version of Record true Distributed under the terms of a Creative Commons Attribution CC-BY 4.0 licence. true eng http://creativecommons.org/licenses/by/4.0/
title NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
spellingShingle NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
Rubén Sevilla
title_short NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
title_full NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
title_fullStr NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
title_full_unstemmed NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
title_sort NURBS-enhanced finite element method (NEFEM) on quadrilateral meshes
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Mattia Montanari
Gian Maria Santi
Rubén Sevilla
Liverani Alfredo
Nik Petrinic
format Journal article
container_title Finite Elements in Analysis and Design
container_volume 231
container_start_page 104099
publishDate 2024
institution Swansea University
issn 0168-874X
doi_str_mv 10.1016/j.finel.2023.104099
publisher Elsevier BV
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
url http://dx.doi.org/10.1016/j.finel.2023.104099
document_store_str 1
active_str 0
description This paper formulates quadrilateral elements for the NURBS-enhanced finite element method (NEFEM). The objective is to extend the application of NEFEM to problems where the use of quadrilateral elements is preferred. By leveraging a mapping, between reference and physical spaces, that encapsulates the exact boundary representation of the domain, a tight integration with computer aided design (CAD) systems is achieved. The contribution of this work is an enhanced quadrilateral finite element that incorporates the exact CAD geometry purely from the boundary representation (B-rep) from CAD and without the need for a whole volume representation (V-rep) as a NURBS entity. Numerical examples involving heat transfer and linear elastic problems are used to numerically demonstrate the optimal convergence properties of the method under mesh refinement.
published_date 2024-04-01T16:34:12Z
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score 11.01753

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