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A locking-free face-centred finite volume (FCFV) method for linear elastostatics

Rubén Sevilla Orcid Logo, Matteo Giacomini, Antonio Huerta

Computers & Structures, Volume: 212, Pages: 43 - 57

Swansea University Author: Rubén Sevilla Orcid Logo

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DOI (Published version): 10.1016/j.compstruc.2018.10.015

Abstract

A face-centred finite volume (FCFV) method is proposed for linear elastostatic problems. The FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that defines the unknowns on the faces (edges in two dimensions) of the mesh cells. The symmetry of the stress tensor is stron...

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Published in: Computers & Structures
ISSN: 0045-7949
Published: 2019
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URI: https://cronfa.swan.ac.uk/Record/cronfa45222
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first_indexed 2018-10-25T13:19:58Z
last_indexed 2018-11-26T20:19:29Z
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spelling 2018-11-26T14:51:08.5624875 v2 45222 2018-10-25 A locking-free face-centred finite volume (FCFV) method for linear elastostatics b542c87f1b891262844e95a682f045b6 0000-0002-0061-6214 Rubén Sevilla Rubén Sevilla true false 2018-10-25 CIVL A face-centred finite volume (FCFV) method is proposed for linear elastostatic problems. The FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that defines the unknowns on the faces (edges in two dimensions) of the mesh cells. The symmetry of the stress tensor is strongly enforced using the well-known Voigt notation and the displacement and stress fields inside each cell are obtained by means of explicit formulas. The resulting FCFV method is robust and locking-free in the nearly incompressible limit. Numerical experiments in two and three dimensions show optimal convergence of the displacement and the stress fields without any reconstruction. Moreover, the accuracy of the FCFV method is not sensitive to mesh distortion and stretching. Classical benchmark tests including Kirch’s plate and Cook’s membrane problems in two dimensions as well as three dimensional problems involving shear phenomenons, pressurised thin shells and complex geometries are presented to show the capability and potential of the proposed methodology. Journal Article Computers & Structures 212 43 57 0045-7949 Finite volume, Face-centred finite volume, Mixed hybrid formulation, Linear elastostatics, Locking-free, Hybridisable discontinuous Galerkin 31 12 2019 2019-12-31 10.1016/j.compstruc.2018.10.015 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2018-11-26T14:51:08.5624875 2018-10-25T11:08:02.8618798 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Rubén Sevilla 0000-0002-0061-6214 1 Matteo Giacomini 2 Antonio Huerta 3 0045222-25102018111055.pdf sevilla2018(7).pdf 2018-10-25T11:10:55.8630000 Output 10407970 application/pdf Accepted Manuscript true 2019-10-30T00:00:00.0000000 true eng
title A locking-free face-centred finite volume (FCFV) method for linear elastostatics
spellingShingle A locking-free face-centred finite volume (FCFV) method for linear elastostatics
Rubén Sevilla
title_short A locking-free face-centred finite volume (FCFV) method for linear elastostatics
title_full A locking-free face-centred finite volume (FCFV) method for linear elastostatics
title_fullStr A locking-free face-centred finite volume (FCFV) method for linear elastostatics
title_full_unstemmed A locking-free face-centred finite volume (FCFV) method for linear elastostatics
title_sort A locking-free face-centred finite volume (FCFV) method for linear elastostatics
author_id_str_mv b542c87f1b891262844e95a682f045b6
author_id_fullname_str_mv b542c87f1b891262844e95a682f045b6_***_Rubén Sevilla
author Rubén Sevilla
author2 Rubén Sevilla
Matteo Giacomini
Antonio Huerta
format Journal article
container_title Computers & Structures
container_volume 212
container_start_page 43
publishDate 2019
institution Swansea University
issn 0045-7949
doi_str_mv 10.1016/j.compstruc.2018.10.015
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 A face-centred finite volume (FCFV) method is proposed for linear elastostatic problems. The FCFV is a mixed hybrid formulation, featuring a system of first-order equations, that defines the unknowns on the faces (edges in two dimensions) of the mesh cells. The symmetry of the stress tensor is strongly enforced using the well-known Voigt notation and the displacement and stress fields inside each cell are obtained by means of explicit formulas. The resulting FCFV method is robust and locking-free in the nearly incompressible limit. Numerical experiments in two and three dimensions show optimal convergence of the displacement and the stress fields without any reconstruction. Moreover, the accuracy of the FCFV method is not sensitive to mesh distortion and stretching. Classical benchmark tests including Kirch’s plate and Cook’s membrane problems in two dimensions as well as three dimensional problems involving shear phenomenons, pressurised thin shells and complex geometries are presented to show the capability and potential of the proposed methodology.
published_date 2019-12-31T03:56:55Z
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score 11.013148

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