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Article: On constructing accurate recovered stress fields for the finite element solution of Reissner-Mindlin plate bending problems

TitleOn constructing accurate recovered stress fields for the finite element solution of Reissner-Mindlin plate bending problems
Authors
Issue Date1998
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cma
Citation
Computer Methods In Applied Mechanics And Engineering, 1998, v. 160 n. 1-2, p. 175-191 How to Cite?
AbstractThe effectiveness and reliability of three local least squares fit procedures for the construction of smoothed moments and shear forces for the solution of the Reissner-Mindlin (RM) thick plate model are reviewed. The three procedures considered are, namely, the superconvergent patch recovery technique (SPR), the recovery by equilibrium in patches (REP) and the recovery procedure suggested by Lee, Park and Lee (LP). Numerical studies are carried out by applying these three recovery procedures for the construction of smoothed stress fields for various RM plate bending problems. The results obtained indicate that if the order of polynomial used in the stress recovery is the same as that for the finite element analysis, all three procedures produce recovered stress fields with very similar accuracy and convergence rate. However, when the order of polynomial is raised, if the exact solution is smooth without any strong boundary layers or singularities, both the REP and LP procedures can produce more accurate stress fields than the SPR. In case that singularities or boundary layers are present, the LP procedure often outperforms the REP procedure and results in more stable recovery matrices and more accurate recovered stress fields. © 1998 Elsevier Science S.A. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/70989
ISSN
2015 Impact Factor: 3.467
2015 SCImago Journal Rankings: 2.952
References

 

DC FieldValueLanguage
dc.contributor.authorLo, SHen_HK
dc.contributor.authorLee, CKen_HK
dc.date.accessioned2010-09-06T06:27:54Z-
dc.date.available2010-09-06T06:27:54Z-
dc.date.issued1998en_HK
dc.identifier.citationComputer Methods In Applied Mechanics And Engineering, 1998, v. 160 n. 1-2, p. 175-191en_HK
dc.identifier.issn0045-7825en_HK
dc.identifier.urihttp://hdl.handle.net/10722/70989-
dc.description.abstractThe effectiveness and reliability of three local least squares fit procedures for the construction of smoothed moments and shear forces for the solution of the Reissner-Mindlin (RM) thick plate model are reviewed. The three procedures considered are, namely, the superconvergent patch recovery technique (SPR), the recovery by equilibrium in patches (REP) and the recovery procedure suggested by Lee, Park and Lee (LP). Numerical studies are carried out by applying these three recovery procedures for the construction of smoothed stress fields for various RM plate bending problems. The results obtained indicate that if the order of polynomial used in the stress recovery is the same as that for the finite element analysis, all three procedures produce recovered stress fields with very similar accuracy and convergence rate. However, when the order of polynomial is raised, if the exact solution is smooth without any strong boundary layers or singularities, both the REP and LP procedures can produce more accurate stress fields than the SPR. In case that singularities or boundary layers are present, the LP procedure often outperforms the REP procedure and results in more stable recovery matrices and more accurate recovered stress fields. © 1998 Elsevier Science S.A. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cmaen_HK
dc.relation.ispartofComputer Methods in Applied Mechanics and Engineeringen_HK
dc.rightsComputer Methods in Applied Mechanics and Engineering. Copyright © Elsevier BV.en_HK
dc.titleOn constructing accurate recovered stress fields for the finite element solution of Reissner-Mindlin plate bending problemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0045-7825&volume=160&spage=175 &epage= 191&date=1998&atitle=On+constructing+accurate+recovered+stress+fields+for+the+finite+element+solution+of+Reissner-Mindlin+plate+bending+problemsen_HK
dc.identifier.emailLo, SH:hreclsh@hkucc.hku.hken_HK
dc.identifier.authorityLo, SH=rp00223en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.scopuseid_2-s2.0-0032115979en_HK
dc.identifier.hkuros42575en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032115979&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume160en_HK
dc.identifier.issue1-2en_HK
dc.identifier.spage175en_HK
dc.identifier.epage191en_HK
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridLo, SH=7401542444en_HK
dc.identifier.scopusauthoridLee, CK=7410141092en_HK

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