Detection of weak defects in elastic bodies through small amplitude homogenization

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dc.contributor.authorMura, Joaquin
dc.contributor.authorGutierrez, Sergio
dc.date.accessioned2024-01-10T12:04:52Z
dc.date.available2024-01-10T12:04:52Z
dc.date.issued2011
dc.description.abstractThis article is devoted to the detection of inclusions using a single boundary measurement obtained from quasi-static essays in linear elasticity. The idea is to minimize the misfit between the displacement field obtained on part of the boundary and the boundary data coming from solving the elasticity equations with a guess inclusion. The optimization algorithm comes from the work of Allaire and Gutierrez [G. Allaire and S. Gutierrez, Optimal design in small amplitude homogenization, Math. Model. Numer. Anal. 41(3) (2007), pp. 543-574] and it is based on the assumption that the contrast on the values of the Lame elastic coefficients between the defect and the matrix is not very large. This approach is promising because it is well adapted to cases when the defect is caused, for example, by weak inhomogeneities during the fabrication process. From the numerical examples we conclude that the method is quite robust under noisy measurements and errors in the characterization of the defect.
dc.description.funderConicyt
dc.description.funderFondecyt
dc.fechaingreso.objetodigital2024-05-09
dc.format.extent18 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1080/17415977.2010.550046
dc.identifier.eissn1741-5985
dc.identifier.issn1741-5977
dc.identifier.urihttps://doi.org/10.1080/17415977.2010.550046
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/75900
dc.identifier.wosidWOS:000288669300005
dc.information.autorucIngeniería;Gutierrez S ;S/I;100336
dc.information.autorucIngeniería;Mura J ;S/I;9973
dc.issue.numero2
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final250
dc.pagina.inicio233
dc.publisherTAYLOR & FRANCIS LTD
dc.revistaINVERSE PROBLEMS IN SCIENCE AND ENGINEERING
dc.rightsacceso restringido
dc.subjectelasticity
dc.subjectH-measures
dc.subjecthomogenization
dc.subjectINVERSE PROBLEMS
dc.subjectSYSTEM
dc.titleDetection of weak defects in elastic bodies through small amplitude homogenization
dc.typeartículo
dc.volumen19
sipa.codpersvinculados100336
sipa.codpersvinculados9973
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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