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Generalized shape optimization using XFEM and Level Set methods
Duysinx, Pierre; Van Miegroet, Laurent; jacobs, Thibaut et al.
2005In Bendsoe, M.-P.; Olhoff, N.; Sigmund, O. (Eds.) Proceedings of Topopt SYMP2005, IUTAM Symposium. Topological Design Optimization of Structures, Machines and Materials. Status and Perspectives
Peer reviewed
 

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Keywords :
Topology Optimization; Shape optimization; XFEM; Level Set
Abstract :
[en] This paper presents an intermediate approach between parametric shape optimization and topology optimization. It is based on using the recent Level Set description of the geometry and the novel eXtended Finite Element Method (XFEM). The method takes benefit of the fixed mesh work using X-FEM and of the curves smoothness of the Level Set description. Design variables are shape parameters of basic geometric features. The number of design variables of this formulation is small whereas various global and local constraints can be considered. The Level Set description allows to modify the connectivity of the structure as geometric features can merge or separate from each other. However no new entity can be introduced. A central problem that is investigated here is the sensitivity analysis and the way it can be carried out efficiently. Numerical applications revisit the classical elliptical hole benchmark from shape optimization.
Disciplines :
Mechanical engineering
Aerospace & aeronautics engineering
Author, co-author :
Duysinx, Pierre  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Van Miegroet, Laurent ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
jacobs, Thibaut
Fleury, Claude ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > LTAS - Optimisation multidisciplinaire
Language :
English
Title :
Generalized shape optimization using XFEM and Level Set methods
Publication date :
October 2005
Event name :
Topopt SYMP2005, IUTAM Symposium. Topological Design Optimization of Structures, Machines and Materials. Status and Perspectives
Event organizer :
M.P. Bendsoe, N. Olhoff and O. Sigmund
Event place :
Rungstegaard - Copenhagen, Denmark
Event date :
October 26-29, 2005
By request :
Yes
Audience :
International
Main work title :
Proceedings of Topopt SYMP2005, IUTAM Symposium. Topological Design Optimization of Structures, Machines and Materials. Status and Perspectives
Author, co-author :
Bendsoe, M.-P.
Olhoff, N.
Sigmund, O.
Peer reviewed :
Peer reviewed
Available on ORBi :
since 14 October 2009

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