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Quadratic velocity-linear stress interpolations in limit analysis
2014; Wiley; Volume: 98; Issue: 7 Linguagem: Inglês
10.1002/nme.4636
ISSN1097-0207
AutoresNéstor Zouain, Lavinia Borges, José Luı́s Silveira,
Tópico(s)Probabilistic and Robust Engineering Design
ResumoInternational Journal for Numerical Methods in EngineeringVolume 98, Issue 7 p. 469-491 Research Article Quadratic velocity-linear stress interpolations in limit analysis Nestor Zouain, Corresponding Author Nestor Zouain Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil Correspondence to: Nestor Zouain, Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, C.P. 68501, 21941-972 Rio de Janeiro, Brazil. E-mail: [email protected]Search for more papers by this authorLavinia Borges, Lavinia Borges Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, Rio de Janeiro, BrazilSearch for more papers by this authorJosé Luís Silveira, José Luís Silveira Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, Rio de Janeiro, BrazilSearch for more papers by this author Nestor Zouain, Corresponding Author Nestor Zouain Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, Rio de Janeiro, Brazil Correspondence to: Nestor Zouain, Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, C.P. 68501, 21941-972 Rio de Janeiro, Brazil. E-mail: [email protected]Search for more papers by this authorLavinia Borges, Lavinia Borges Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, Rio de Janeiro, BrazilSearch for more papers by this authorJosé Luís Silveira, José Luís Silveira Department of Mechanical Engineering, COPPE-Politécnica, Federal University of Rio de Janeiro, Rio de Janeiro, BrazilSearch for more papers by this author First published: 28 January 2014 https://doi.org/10.1002/nme.4636Citations: 12Read the full textAboutPDF ToolsRequest permissionExport citationAdd to favoritesTrack citation ShareShare Give accessShare full text accessShare full-text accessPlease review our Terms and Conditions of Use and check box below to share full-text version of article.I have read and accept the Wiley Online Library Terms and Conditions of UseShareable LinkUse the link below to share a full-text version of this article with your friends and colleagues. Learn more.Copy URL Share a linkShare onFacebookTwitterLinkedInRedditWechat SUMMARY We compare a family of mixed interpolations on triangles with straight edges as applied to limit analysis. The aim of this paper is to prove theoretically that the approximate collapse factors obtained with these finite elements always comply with certain inequalities that exist among them. Two of these interpolations are used in limit analysis for the first time in this article. The inequalities in the proposition are also demonstrated via numerical applications. To this end, the most frequently used benchmark problems in limit analysis are revisited and discussed with respect to the results computed with these finite elements. Copyright © 2014 John Wiley & Sons, Ltd. Citing Literature Volume98, Issue718 May 2014Pages 469-491 RelatedInformation
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