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Detection of holes in an elastic body based on eigenvalues and traces of eigenmodes

dc.contributor.authorAntunes, Pedro R. S.
dc.contributor.authorBarbarosie, Cristian
dc.contributor.authorToader, Anca-Maria
dc.date.accessioned2018-02-07T15:51:19Z
dc.date.available2018-02-07T15:51:19Z
dc.date.issued2017
dc.description.abstractWe consider the numerical solution of an inverse problem of finding the shape and location of holes in an elastic body. The problem is solved by minimizing a functional depending on the eigenvalues and traces of corresponding eigenmodes. We use the adjoint method to calculate the shape derivative of this functional. The optimization is performed by BFGS, using a genetic algorithm as a preprocessor and the Method of Fundamental Solutions as a solver for the direct problem. We address several numerical simulations that illustrate the good performance of the method.pt_PT
dc.description.versioninfo:eu-repo/semantics/publishedVersionpt_PT
dc.identifier.urihttp://hdl.handle.net/10400.2/7075
dc.language.isoengpt_PT
dc.peerreviewedyespt_PT
dc.subjectInverse problempt_PT
dc.subjectShape optimizationpt_PT
dc.subjectEigenvalue problempt_PT
dc.subjectLinear elasticitypt_PT
dc.subjectAdjoint methodpt_PT
dc.subjectMethod of fundamental solutionspt_PT
dc.titleDetection of holes in an elastic body based on eigenvalues and traces of eigenmodespt_PT
dc.typejournal article
dspace.entity.typePublication
oaire.citation.titleJournal of Computational Physicspt_PT
person.familyNameAntunes
person.givenNamePedro
person.identifier.ciencia-id6710-138C-A69D
person.identifier.orcid0000-0003-1969-1860
person.identifier.ridM-2406-2015
person.identifier.scopus-author-id55346859100
rcaap.rightsopenAccesspt_PT
rcaap.typearticlept_PT
relation.isAuthorOfPublicationbef314d2-4a78-4fba-aecd-9f4e8e19e70c
relation.isAuthorOfPublication.latestForDiscoverybef314d2-4a78-4fba-aecd-9f4e8e19e70c

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