Artículo
Topological derivative for steady-state orthotropic heat diffusion problem
Fecha de publicación:
12/2010
Editorial:
Springer
Revista:
Structural and Multidisciplinary Optimization
ISSN:
1615-147X
e-ISSN:
1615-1488
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The aim of this work is to present the calculation of the topological derivative for the total potential energy associated to the steady-state orthotropic heat diffusion problem, when a circular inclusion is introduced at an arbitrary point of the domain. By a simple change of variables and using the first order Pólya-Szegö polarization tensor, we obtain a closed formula for the topological sensitivity. For the sake of completeness, the analytical expression for the topological derivative is checked numerically using the standard Finite Element Method. Finally, we present two numerical experiments showing the influency of the orthotropy in the topological derivative field and also one example concerning the optimal design of a heat conductor.
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Articulos(CCT - CORDOBA)
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Articulos de CTRO.CIENTIFICO TECNOL.CONICET - CORDOBA
Citación
Giusti, Sebastian Miguel; Novotny, Antonio André; Sokołowski, Jan; Topological derivative for steady-state orthotropic heat diffusion problem; Springer; Structural and Multidisciplinary Optimization; 40; 1-6; 12-2010; 53-64
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