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

dc.creatorGiusti, Sebastian Miguel
dc.creatorFerrer, A.
dc.creatorOliver, J.
dc.date.accessioned2019-03-21T22:52:21Z
dc.date.accessioned2022-10-15T11:33:58Z
dc.date.available2019-03-21T22:52:21Z
dc.date.available2022-10-15T11:33:58Z
dc.date.created2019-03-21T22:52:21Z
dc.date.issued2016-11
dc.identifierGiusti, 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; 134-150
dc.identifier0045-7825
dc.identifierhttp://hdl.handle.net/11336/72277
dc.identifierCONICET Digital
dc.identifierCONICET
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/4381317
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.
dc.languageeng
dc.publisherElsevier Science Sa
dc.relationinfo:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2016.08.004
dc.relationinfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782516303577
dc.rightshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.rightsinfo:eu-repo/semantics/restrictedAccess
dc.subjectELASTIC ANISOTROPY
dc.subjectSTRUCTURAL OPTIMIZATION
dc.subjectTOPOLOGICAL DERIVATIVE
dc.subjectTOPOLOGY DESIGN
dc.titleTopological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:ar-repo/semantics/artículo
dc.typeinfo:eu-repo/semantics/publishedVersion


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