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Bounds and adaptivity for 3D limit analysis
dc.contributor.author | Muñoz, José J. |
dc.contributor.author | Bonet Carbonell, Javier |
dc.contributor.author | Huerta, Antonio |
dc.contributor.author | Peraire Guitart, Jaume |
dc.date.accessioned | 2009-06-08T10:28:14Z |
dc.date.available | 2009-06-08T10:28:14Z |
dc.date.issued | 2009-06-08T10:28:14Z |
dc.identifier.uri | http://hdl.handle.net/2099/7817 |
dc.description.abstract | In the present paper we compute upper and lower bounds for limit analysis in two and three dimensions. From the solution of the discretised upper and lower bound problems, and from the optimum displacement rate and stress fields, we compute an error estimate defined at the body elements and at their boundaries, which are applied in an adaptive remeshing strategy. In order to reduce the computational cost in 3D limit analysis, the tightness of the upper bound is relaxed and its computation avoided. Instead, the results of the lower bound are used to estimate elemental and edge errors. The theory has been implemented for Von Mises materials, and applied to two- and three-dimensions examples. |
dc.format.extent | 10 p. |
dc.language.iso | eng |
dc.relation.ispartof | NMASE 07 (6th:2007:Vall de Núria) |
dc.rights | Attribution-NonCommercial-NoDerivs 3.0 Spain |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/es/ |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals::Equacions en derivades parcials |
dc.subject.lcsh | Partial differential equations |
dc.subject.other | Adaptivity |
dc.subject.other | SOCP |
dc.subject.other | Limit analysis |
dc.subject.other | Bounds |
dc.subject.other | Error estimates |
dc.title | Bounds and adaptivity for 3D limit analysis |
dc.type | Conference report |
dc.subject.lemac | Equacions diferencials parcials |
dc.subject.lemac | Problemes de valor inicial |
dc.subject.lemac | Problemes de contorn |
dc.description.peerreviewed | Peer Reviewed |
dc.subject.ams | Classificació AMS::65 Numerical analysis::65M Partial differential equations, initial value and time-dependent initial-boundary value problems |
dc.rights.access | Open Access |