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dc.contributor.author
Giusti, Sebastian Miguel
dc.contributor.author
Novotny, A. A.
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Muñoz Rivera, J. E.
dc.contributor.author
Esparta Rodriguez, J. E.
dc.date.available
2017-08-16T14:06:12Z
dc.date.issued
2013-01
dc.identifier.citation
Giusti, Sebastian Miguel; Novotny, A. A.; Muñoz Rivera, J. E.; Esparta Rodriguez, J. E.; Strain energy change to the insertion of inclusions associated to a thermo-mechanical semi-coupled system; Elsevier; International Journal Of Solids And Structures; 50; 9; 1-2013; 1303-1313
dc.identifier.issn
0020-7683
dc.identifier.uri
http://hdl.handle.net/11336/22514
dc.description.abstract
The topological derivative measures the sensitivity of a given shape functional with respect to an infinitesimal singular domain perturbation. According to the literature, the topological derivative has been fully developed for a wide range of one single physical phenomenon modeled by partial differential equations. In addition, the topological asymptotic analysis associated to multi-physics problems has been reported in the literature only on the level of mathematical analysis of singularly perturbed geometrical domains. In this work, we present the topological derivative in its closed form for the total potential mechanical energy associated to a thermo-mechanical semi-coupled system, when a small circular inclusion is introduced at an arbitrary point of the domain. In particular, we consider the linear elasticity system (modeled by the Navier equation) coupled with the steady-state heat conduction problem (modeled by the Laplace equation). The mechanical coupling term comes out from the thermal stress induced by the temperature field. Since this term is non-local, we introduce a non-standard adjoint state, which allows to obtain a closed form for the topological derivative. Finally, we provide a full mathematical justification for the derived formulas and develop precise estimates for the remainders of the topological asymptotic expansion.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Topological Derivative
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Thermo-Mechanical Semi-Coupled System
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Multi-Physic Topology Optimization
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Asymptotic Analysis
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Otras Matemáticas
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Matemáticas
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CIENCIAS NATURALES Y EXACTAS
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Ingeniería Mecánica
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Ingeniería Mecánica
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INGENIERÍAS Y TECNOLOGÍAS
dc.title
Strain energy change to the insertion of inclusions associated to a thermo-mechanical semi-coupled system
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2017-08-09T14:25:37Z
dc.journal.volume
50
dc.journal.number
9
dc.journal.pagination
1303-1313
dc.journal.pais
Países Bajos
dc.journal.ciudad
Amsterdam
dc.description.fil
Fil: Giusti, Sebastian Miguel. Universidad Tecnológica Nacional. Facultad Regional Córdoba; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
dc.description.fil
Fil: Novotny, A. A.. Laboratorio Nacional de Computacao Cientifica; Brasil
dc.description.fil
Fil: Muñoz Rivera, J. E.. Laboratorio Nacional de Computacao Cientifica; Brasil
dc.description.fil
Fil: Esparta Rodriguez, J. E.. Laboratorio Nacional de Computacao Cientifica; Brasil
dc.journal.title
International Journal Of Solids And Structures
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.ijsolstr.2012.12.022
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0020768313000073
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