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dc.contributor.author
Giusti, Sebastian Miguel
dc.contributor.author
Ferrer, A.
dc.contributor.author
Oliver, J.
dc.date.available
2019-03-21T22:52:21Z
dc.date.issued
2016-11
dc.identifier.citation
Giusti, 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.identifier.issn
0045-7825
dc.identifier.uri
http://hdl.handle.net/11336/72277
dc.description.abstract
The 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.format
application/pdf
dc.language.iso
eng
dc.publisher
Elsevier Science Sa
dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.subject
Elastic Anisotropy
dc.subject
Structural Optimization
dc.subject
Topological Derivative
dc.subject
Topology Design
dc.subject.classification
Matemática Pura
dc.subject.classification
Matemáticas
dc.subject.classification
CIENCIAS NATURALES Y EXACTAS
dc.title
Topological sensitivity analysis in heterogeneous anisotropic elasticity problem. Theoretical and computational aspects
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2019-03-21T14:13:34Z
dc.journal.volume
311
dc.journal.pagination
134-150
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: Ferrer, A.. Centre Internacional de Metodes Numerics en Enginyeria; España
dc.description.fil
Fil: Oliver, J.. Universidad Politécnica de Catalunya; España. Centre Internacional de Metodes Numerics en Enginyeria; España
dc.journal.title
Computer Methods in Applied Mechanics and Engineering
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.1016/j.cma.2016.08.004
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0045782516303577
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