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Article: Automatic adaptive refinement finite element procedure for 3D stress analysis

TitleAutomatic adaptive refinement finite element procedure for 3D stress analysis
Authors
Issue Date1997
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finel
Citation
Finite Elements in Analysis and Design, 1997, v. 25 n. 1-2, p. 135-166 How to Cite?
AbstractAn automatic adaptive refinement procedure for 3D finite element analysis is presented. Based on a carefully designed procedure to eliminate the instability of the superconvergent patch recovery technique, accurate smoothed stress field for 3D elasticity problem can be established. Well graded adaptive tetrahedral meshes with node spacing compatible with the specifications as required by the refinement strategy are generated by newly developed mesh refinement scheme. Iterative solution solver employing the preconditioned conjugate gradient technique is used for the solution of large system of simultaneous equations. Practical examples solved by using the quadratic T10 tetrahedral element indicate that the procedure is reliable and effective. Even in the presence of singularities, the optimal convergence rate is achieved and the asymptotic convergence of the error estimator is also observed. Numerical results in this study demonstrate that by combining theoretical derivations with appropriate computation algorithms, it is completely feasible to carry out automatic adaptive analyses even for full 3D problems. Many advantages of the adaptive refinement over the traditional one-pass finite element analysis or uniform refinement are revealed, especially when the exact solution of the problem is difficult and singular points are present inside the problem domain.
Persistent Identifierhttp://hdl.handle.net/10722/150093
ISSN
2015 Impact Factor: 2.175
2015 SCImago Journal Rankings: 1.278
References

 

DC FieldValueLanguage
dc.contributor.authorLee, CKen_US
dc.contributor.authorLo, SHen_US
dc.date.accessioned2012-06-26T06:01:30Z-
dc.date.available2012-06-26T06:01:30Z-
dc.date.issued1997en_US
dc.identifier.citationFinite Elements in Analysis and Design, 1997, v. 25 n. 1-2, p. 135-166en_US
dc.identifier.issn0168-874Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/150093-
dc.description.abstractAn automatic adaptive refinement procedure for 3D finite element analysis is presented. Based on a carefully designed procedure to eliminate the instability of the superconvergent patch recovery technique, accurate smoothed stress field for 3D elasticity problem can be established. Well graded adaptive tetrahedral meshes with node spacing compatible with the specifications as required by the refinement strategy are generated by newly developed mesh refinement scheme. Iterative solution solver employing the preconditioned conjugate gradient technique is used for the solution of large system of simultaneous equations. Practical examples solved by using the quadratic T10 tetrahedral element indicate that the procedure is reliable and effective. Even in the presence of singularities, the optimal convergence rate is achieved and the asymptotic convergence of the error estimator is also observed. Numerical results in this study demonstrate that by combining theoretical derivations with appropriate computation algorithms, it is completely feasible to carry out automatic adaptive analyses even for full 3D problems. Many advantages of the adaptive refinement over the traditional one-pass finite element analysis or uniform refinement are revealed, especially when the exact solution of the problem is difficult and singular points are present inside the problem domain.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/finelen_US
dc.relation.ispartofFinite Elements in Analysis and Designen_US
dc.rightsFinite Elements in Analysis and Design. Copyright © Elsevier BV.-
dc.titleAutomatic adaptive refinement finite element procedure for 3D stress analysisen_US
dc.typeArticleen_US
dc.identifier.emailLo, SH: hreclsh@hkucc.hku.hken_US
dc.identifier.authorityLo, SH=rp00223en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0031103756en_US
dc.identifier.hkuros42448-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0031103756&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume25en_US
dc.identifier.issue1-2en_US
dc.identifier.spage135en_US
dc.identifier.epage166en_US
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridLee, CK=36882463600en_US
dc.identifier.scopusauthoridLo, SH=7401542444en_US

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