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Almost Isotropic Perimeters in Topology Optimization: Theoretical and Numerical Aspects
Petersson, Joakim; Beckers, Muriel; Duysinx, Pierre
1999In Bloebaum, C. (Ed.) Proceedings of the 3rd World Congress of Structural and Multidisciplinary Optimization WCSMO3
 

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Keywords :
Topology optimization; Finite element; Perimeter constraint
Abstract :
[en] We consider topology optimization of elastic continuum structures including a bound on the perimeter of the structural domain. Such a bound is known to ensure existence of solutions and it stabilizes the behavior of numerical finite element (FE) solutions. However the straightforward way of calculating the perimeter is rotationally mesh-dependent. In this paper we present new perimeter formulae with weaker rotational dependence i.e. perimeters that are almost isotropic. An overview of some theoretical results as well as numerical tests are given.
Disciplines :
Aerospace & aeronautics engineering
Mechanical engineering
Author, co-author :
Petersson, Joakim
Beckers, Muriel
Duysinx, Pierre  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Language :
English
Title :
Almost Isotropic Perimeters in Topology Optimization: Theoretical and Numerical Aspects
Publication date :
May 1999
Event name :
Third World Congress of Structural and Multidisciplinary Optimization
Event place :
Buffalo, United States - New York
Event date :
May 17-21, 1999
Audience :
International
Main work title :
Proceedings of the 3rd World Congress of Structural and Multidisciplinary Optimization WCSMO3
Author, co-author :
Bloebaum, C.
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since 17 October 2009

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