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HDG-NEFEM for two dimensional linear elasticity

Rubén Sevilla Orcid Logo

Computers & Structures, Volume: 220, Pages: 69 - 80

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1016/j.compstruc.2019.05.005

Abstract

This paper proposes a new methodology for the solution of two dimensional linear elastic problems in domains with curved boundaries. The proposed method exploits the advantages of the hybridisable discontinuous Galerkin method to obtain an accurate approximation of both the displacement and the stre...

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Published in: Computers & Structures
ISSN: 0045-7949
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa50293
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first_indexed 2019-05-09T20:01:27Z
last_indexed 2019-07-18T15:37:40Z
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spelling 2019-07-18T14:18:18.5585876 v2 50293 2019-05-09 HDG-NEFEM for two dimensional linear elasticity b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2019-05-09 CIVL This paper proposes a new methodology for the solution of two dimensional linear elastic problems in domains with curved boundaries. The proposed method exploits the advantages of the hybridisable discontinuous Galerkin method to obtain an accurate approximation of both the displacement and the stress fields by solving a global problem that only involves the displacement field on the element edges as unknown. In addition, the methodology incorporates the exact boundary representation of the domain by means of the so-called NURBS-enhanced finite element method. Numerical examples are used to illustrate the three main advantages of the proposed method, namely the reproducibility of polynomials in domains with curved boundaries, the super-convergence of the solution even for linear approximation and the effectiveness and reliability of degree adaptive processes driven by displacement or stresses. Journal Article Computers & Structures 220 69 80 0045-7949 Hybridisable discontinuous Galerkin, NURBS-enhanced finite element method, Linear elasticity, Curved boundary, Degree adaptivity 31 8 2019 2019-08-31 10.1016/j.compstruc.2019.05.005 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2019-07-18T14:18:18.5585876 2019-05-09T10:42:38.1815064 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Rubén Sevilla 0000-0002-0061-6214 1 0050293-09052019104350.pdf sevilla2019.pdf 2019-05-09T10:43:50.8000000 Output 11586406 application/pdf Accepted Manuscript true 2020-05-18T00:00:00.0000000 true eng
title HDG-NEFEM for two dimensional linear elasticity
spellingShingle HDG-NEFEM for two dimensional linear elasticity
Rubén Sevilla
title_short HDG-NEFEM for two dimensional linear elasticity
title_full HDG-NEFEM for two dimensional linear elasticity
title_fullStr HDG-NEFEM for two dimensional linear elasticity
title_full_unstemmed HDG-NEFEM for two dimensional linear elasticity
title_sort HDG-NEFEM for two dimensional linear elasticity
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Rubén Sevilla
format Journal article
container_title Computers & Structures
container_volume 220
container_start_page 69
publishDate 2019
institution Swansea University
issn 0045-7949
doi_str_mv 10.1016/j.compstruc.2019.05.005
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 This paper proposes a new methodology for the solution of two dimensional linear elastic problems in domains with curved boundaries. The proposed method exploits the advantages of the hybridisable discontinuous Galerkin method to obtain an accurate approximation of both the displacement and the stress fields by solving a global problem that only involves the displacement field on the element edges as unknown. In addition, the methodology incorporates the exact boundary representation of the domain by means of the so-called NURBS-enhanced finite element method. Numerical examples are used to illustrate the three main advantages of the proposed method, namely the reproducibility of polynomials in domains with curved boundaries, the super-convergence of the solution even for linear approximation and the effectiveness and reliability of degree adaptive processes driven by displacement or stresses.
published_date 2019-08-31T04:01:41Z
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score 11.013148

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