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A continuum-based mixed axisymmetric shell element for limit and shakedown analysis

Ricardo R. Martins, Nestor Zouain, Lavinia Borges, Eduardo De Souza Neto Orcid Logo

Journal of the Brazilian Society of Mechanical Sciences and Engineering, Volume: 36, Issue: 1, Pages: 153 - 172

Swansea University Author: Eduardo De Souza Neto Orcid Logo

Abstract

In this paper, a new axisymmetric shell element is devised to limit and shakedown analysis. The element is based on a Hellinger–Reissner-type variational formulation with velocity and stress fields independently interpolated. We also employ the continuum-based approach which allows the definition of...

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Published in: Journal of the Brazilian Society of Mechanical Sciences and Engineering
Published: 2014
URI: https://cronfa.swan.ac.uk/Record/cronfa22541
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spelling 2015-07-20T04:22:51.1265616 v2 22541 2015-07-20 A continuum-based mixed axisymmetric shell element for limit and shakedown analysis 91568dee6643b7d350f0d5e8edb7b46a 0000-0002-9378-4590 Eduardo De Souza Neto Eduardo De Souza Neto true false 2015-07-20 CIVL In this paper, a new axisymmetric shell element is devised to limit and shakedown analysis. The element is based on a Hellinger–Reissner-type variational formulation with velocity and stress fields independently interpolated. We also employ the continuum-based approach which allows the definition of the shakedown problem at the continuum level without any approximation in terms of generalized stresses. The mixed interpolation scheme showed very good accuracy for the set of representative examples discussed in detail. The numerical tests include: (1) the limit analysis of cylindrical shells under ring loads and (2) the shakedown analysis of pressure vessels with ellipsoidal and torispherical heads subjected to internal pressure. Journal Article Journal of the Brazilian Society of Mechanical Sciences and Engineering 36 1 153 172 31 1 2014 2014-01-31 COLLEGE NANME Civil Engineering COLLEGE CODE CIVL Swansea University 2015-07-20T04:22:51.1265616 2015-07-20T04:09:41.3870992 Faculty of Science and Engineering School of Aerospace, Civil, Electrical, General and Mechanical Engineering - Civil Engineering Ricardo R. Martins 1 Nestor Zouain 2 Lavinia Borges 3 Eduardo De Souza Neto 0000-0002-9378-4590 4
title A continuum-based mixed axisymmetric shell element for limit and shakedown analysis
spellingShingle A continuum-based mixed axisymmetric shell element for limit and shakedown analysis
Eduardo De Souza Neto
title_short A continuum-based mixed axisymmetric shell element for limit and shakedown analysis
title_full A continuum-based mixed axisymmetric shell element for limit and shakedown analysis
title_fullStr A continuum-based mixed axisymmetric shell element for limit and shakedown analysis
title_full_unstemmed A continuum-based mixed axisymmetric shell element for limit and shakedown analysis
title_sort A continuum-based mixed axisymmetric shell element for limit and shakedown analysis
author_id_str_mv 91568dee6643b7d350f0d5e8edb7b46a
author_id_fullname_str_mv 91568dee6643b7d350f0d5e8edb7b46a_***_Eduardo De Souza Neto
author Eduardo De Souza Neto
author2 Ricardo R. Martins
Nestor Zouain
Lavinia Borges
Eduardo De Souza Neto
format Journal article
container_title Journal of the Brazilian Society of Mechanical Sciences and Engineering
container_volume 36
container_issue 1
container_start_page 153
publishDate 2014
institution Swansea University
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 0
active_str 0
description In this paper, a new axisymmetric shell element is devised to limit and shakedown analysis. The element is based on a Hellinger–Reissner-type variational formulation with velocity and stress fields independently interpolated. We also employ the continuum-based approach which allows the definition of the shakedown problem at the continuum level without any approximation in terms of generalized stresses. The mixed interpolation scheme showed very good accuracy for the set of representative examples discussed in detail. The numerical tests include: (1) the limit analysis of cylindrical shells under ring loads and (2) the shakedown analysis of pressure vessels with ellipsoidal and torispherical heads subjected to internal pressure.
published_date 2014-01-31T03:27:29Z
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score 10.928156