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Título:	SIMP-ALL: a generalized SIMP method based on the topological derivative concept
Autor/a:	Ferrer Ferré, Àlex
Otros autores:	Universitat Politècnica de Catalunya. Departament d'Enginyeria Civil i Ambiental; Universitat Politècnica de Catalunya. RMEE - Grup de Resistència de Materials i Estructures en l'Enginyeria
Abstract:	Topology optimization has emerged in the last years as a promising research fieldwith a wide range of applications. One of the most successful approaches, theSIMP method, is based on regularizing the problem and proposing a penaliza-tion interpolation function. In this work, we propose an alternative interpolationfunction, the SIMP-ALL method that is based on the topological derivative con-cept. First, we show the strong relation in plane linear elasticity between theHashin-Shtrikman (H-S) bounds and the topological derivative, providing anew interpretation of the last one. Then, we show that the SIMP-ALL interpo-lation remains always in between the H-S bounds regardless the materials tobe interpolated. This result allows us to interpret intermediate values as realmicrostructures. Finally, we verify numerically this result and we show the con-venience of the proposed SIMP-ALL interpolation for obtaining auto-penalizedoptimal design in a wider range of cases. A MATLAB code of the SIMP-ALLinterpolation function is also provided
Abstract:	Peer Reviewed
Materia(s):	-Àrees temàtiques de la UPC::Matemàtiques i estadística::Topologia -Structural optimization -Hashin-Shtrikman bounds -SIMP -Topological derivative -Topology optimization -Optimització d'estructures -Classificació AMS::74 Mechanics of deformable solids::74P Optimization
Derechos:	Attribution 3.0 Spain http://creativecommons.org/licenses/by/3.0/es/
Tipo de documento:	Artículo - Versión publicada Artículo
Editor:	John Wiley & sons
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