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A unilateral contact model with buckling in von Kármán plates

Aliki D. Muradova, Stavroulakis Georgios

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URIhttp://purl.tuc.gr/dl/dias/39213189-F259-4B20-BBED-5B7F6BFA8082-
Identifierhttps://doi.org/10.1016/j.nonrwa.2006.02.009-
Languageen-
Extent10 pagesen
TitleA unilateral contact model with buckling in von Kármán platesen
CreatorAliki D. Muradovaen
CreatorStavroulakis Georgiosen
CreatorΣταυρουλακης Γεωργιοςel
PublisherElsevieren
Content SummaryThe unilateral contact problem for the von Kármán plate including postbuckling is numerically studied in this paper. The mathematical model consists of a system of nonlinear inequalities and equations for the transversal displacements and the stress function on the middle plane of the plate, respectively. The boundary conditions correspond to simply supported or partially clamped plates. The lateral displacements are constrained by the presence of a rigid support. A variational principle with penalty is used to treat the mechanical model. Then the variational penalized problem is solved by a spectral method. For the obtained discrete model we develop an iterative scheme based on Newton's iterations, combined with numerical continuation coupled with an appropriate procedure for the choice of the penalty and regularization parameters. Numerical results demonstrate the effectiveness of the proposed method.en
Type of ItemPeer-Reviewed Journal Publicationen
Type of ItemΔημοσίευση σε Περιοδικό με Κριτέςel
Licensehttp://creativecommons.org/licenses/by/4.0/en
Date of Item2015-10-11-
Date of Publication2007-
SubjectGreek mathematicsen
Subjectmathematics greeken
Subjectgreek mathematicsen
Bibliographic CitationA. D. Muradova, G E. Stavroulakis, "A unilateral contact model with buckling in von Kármán plate," Onlinear Anal.: Real World App. ,vol.8, no. 4, pp.1261–1271, September 2007.doi:10.1016/j.nonrwa.2006.02.009en

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