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Technical University of Crete
Technical University of Crete
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| URI | http://purl.tuc.gr/dl/dias/39213189-F259-4B20-BBED-5B7F6BFA8082 | - |
| Identifier | https://doi.org/10.1016/j.nonrwa.2006.02.009 | - |
| Language | en | - |
| Extent | 10 pages | en |
| Title | A unilateral contact model with buckling in von Kármán plates | en |
| Creator | Aliki D. Muradova | en |
| Creator | Stavroulakis Georgios | en |
| Creator | Σταυρουλακης Γεωργιος | el |
| Publisher | Elsevier | en |
| Content Summary | The 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 Item | Peer-Reviewed Journal Publication | en |
| Type of Item | Δημοσίευση σε Περιοδικό με Κριτές | el |
| License | http://creativecommons.org/licenses/by/4.0/ | en |
| Date of Item | 2015-10-11 | - |
| Date of Publication | 2007 | - |
| Subject | Greek mathematics | en |
| Subject | mathematics greek | en |
| Subject | greek mathematics | en |
| Bibliographic Citation | A. 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.2006.02.009 | en |
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