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dc.contributor.author
Giusti, Sebastian Miguel
dc.contributor.author
Sokolowski, Jan
dc.contributor.author
Stebel,Jan
dc.date.available
2018-01-22T15:12:09Z
dc.date.issued
2014-06
dc.identifier.citation
Giusti, Sebastian Miguel; Sokolowski, Jan; Stebel,Jan; On Topological Derivatives for Contact Problems in Elasticity; Springer/plenum Publishers; Journal Of Optimization Theory And Applications; 165; 1; 6-2014; 279-294
dc.identifier.issn
0022-3239
dc.identifier.uri
http://hdl.handle.net/11336/34081
dc.description.abstract
In this article, a general method for shape-topology sensitivity analysis of contact problems is proposed. The method uses domain decomposition combined with specific properties of minimizers for the energy functional. The method is applied to the static problem of an elastic body in frictionless contact with a rigid foundation. The contact model allows a small interpenetration of the bodies in the contact region. This interpenetration is modeled by means of a scalar function that depends on the normal component of the displacement field on the potential contact zone. We present the asymptotic behavior of the energy shape functional when a spheroidal void is introduced at an arbitrary point of the elastic body. For the asymptotic analysis, we use a nonoverlapping domain decomposition technique and the associated Steklov–Poincaré pseudodifferential operator. The differentiability of the energy with respect to the nonsmooth perturbation is established, and the topological derivative is presented in the closed form.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Springer/plenum Publishers
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Topological Derivative
dc.subject
Static Frictionless Contact Problem
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Asymptotic Analysis
dc.subject
Domain Decomposition
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Steklov–Poincaré Operator
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
On Topological Derivatives for Contact Problems in Elasticity
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-01-22T14:16:29Z
dc.journal.volume
165
dc.journal.number
1
dc.journal.pagination
279-294
dc.journal.pais
Estados Unidos
dc.journal.ciudad
New York
dc.description.fil
Fil: Giusti, Sebastian Miguel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Tecnológica Nacional. Facultad Regional Córdoba. Departamento de Ingeniería Civil; Argentina
dc.description.fil
Fil: Sokolowski, Jan. Université de Lorraine; Francia. Systems Research Institute of the Polish Academy of Sciences; Polonia
dc.description.fil
Fil: Stebel,Jan. Institute of Mathematics of the Academy of Sciences of the Czech Republic; República Checa
dc.journal.title
Journal Of Optimization Theory And Applications
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1007/s10957-014-0594-7
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10957-014-0594-7
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