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The computation of rigorous upper and lower bounds for functional outputs of finite element solutions in large strain elasticity
dc.contributor | Peraire Guitart, Jaume |
dc.contributor.author | Ciria Suárez, Héctor |
dc.contributor.other | Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada III |
dc.date.accessioned | 2012-02-17T08:58:35Z |
dc.date.available | 2012-02-17T08:58:35Z |
dc.date.issued | 2002 |
dc.identifier.uri | http://hdl.handle.net/2099.1/14253 |
dc.description.abstract | A finite element a posteriori method to compute rigorous inexpensive upper and lower bounds for engineering outputs of interest, in the field of large strain elasticity, is presented. Based on a general Lagrangian formulation, the bound computation requires global calculations on a finite element coarse mesh and the solution of local decoupled Neumann problems over each element of previous mesh. A new procedure to solve local problems is introduced, whereby bounds are computed locally over the continua for the exact solution in a completely analytical manner. The resulting method shows a considerable gain in computational performance and, besides being robust, can easily be incorporated into existing finite element codes without major modifications. |
dc.language.iso | eng |
dc.publisher | Universitat Politècnica de Catalunya |
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::Enginyeria civil::Materials i estructures |
dc.subject | Àrees temàtiques de la UPC::Matemàtiques i estadística::Anàlisi numèrica::Mètodes en elements finits |
dc.subject.lcsh | Structural design |
dc.subject.lcsh | Structural analysis (Engineering) |
dc.title | The computation of rigorous upper and lower bounds for functional outputs of finite element solutions in large strain elasticity |
dc.type | Minor thesis |
dc.subject.lemac | Disseny d'estructures per elements finits |
dc.subject.lemac | Estructures, Teoria de les |
dc.rights.access | Open Access |
dc.audience.educationlevel | Estudis de primer/segon cicle |
dc.audience.mediator | Escola Tècnica Superior d'Enginyers de Camins, Canals i Ports de Barcelona |
dc.audience.degree | ENGINYERIA DE CAMINS, CANALS I PORTS (Pla 1995) |