Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects

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dc.conicet.fuenteElsevier
dc.conicet.organizacionUniversidad Tecnológica Nacional. Facultad Regional Córdoba
dc.conicet.organizacionConsejo Nacional de Investigaciones Científicas y Técnicas
dc.conicet.organizacionCentre Internacional de Metodes Numerics en Enginyeria
dc.conicet.organizacionUniversidad Politécnica de Catalunya
dc.conicet.organizacionCentre Internacional de Metodes Numerics en Enginyeria
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionArgentina
dc.conicet.paisOrganizacionEspaña
dc.conicet.paisOrganizacionEspaña
dc.conicet.paisOrganizacionEspaña
dc.conicet.produccionid6667958
dc.contributor.authorGiusti, Sebastian Miguel
dc.contributor.authorFerrer, A.
dc.contributor.authorOliver, J.
dc.date.accessioned2019-03-21T22:52:21Z
dc.date.available2019-03-21T22:52:21Z
dc.date.issued2016-11
dc.date.updated2019-03-21T14:13:34Z
dc.description.abstractThe topological sensitivity analysis for the heterogeneous and anisotropic elasticity problem in two-dimensions is performed in this work. The main result of the paper is an analytical closed-form of the topological derivative for the total potential energy of the problem. This derivative displays the sensitivity of the cost functional (the energy in this case) when a small singular perturbation is introduced in an arbitrary point of the domain. In this case, we consider a small disc with a completely different elastic material. Full mathematical justification for the derived formula, and derivations of precise estimates for the remainders of the topological asymptotic expansion are provided. Finally, the influence of the heterogeneity and anisotropy is shown through some numerical examples of structural topology optimization.es
dc.description.filFil: Giusti, Sebastian Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.filFil: Ferrer, A.. Centre Internacional de Metodes Numerics en Enginyeria; España
dc.description.filFil: Oliver, J.. Universidad Politécnica de Catalunya; España. Centre Internacional de Metodes Numerics en Enginyeria; España
dc.formatapplication/pdfes
dc.identifier.citationGiusti, Sebastian Miguel; Ferrer, A.; Oliver, J.; Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects; Elsevier Science Sa; Computer Methods in Applied Mechanics and Engineering; 311; 11-2016; 134-150es
dc.identifier.institucionalCONICET
dc.identifier.issn0045-7825es
dc.identifier.repoCONICET Digital
dc.identifier.urihttp://hdl.handle.net/11336/72277
dc.journal.ciudadAmsterdames
dc.journal.pagination134-150es
dc.journal.paisPaíses Bajoses
dc.journal.titleComputer Methods in Applied Mechanics and Engineeringes
dc.journal.volume311es
dc.language.isoenges
dc.publisherElsevier Science Saes
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2016.08.004
dc.relation.alternativeidinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782516303577
dc.rightsinfo:eu-repo/semantics/openAccess*
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/*
dc.subjectElastic Anisotropyes
dc.subjectStructural Optimizationes
dc.subjectTopological Derivativees
dc.subjectTopology Designes
dc.subject.classificationMatemática Puraes
dc.subject.classificationMatemáticases
dc.subject.classificationCIENCIAS NATURALES Y EXACTASes
dc.titleTopological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspectses
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion

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