Reference : Generalized shape optimization using X-FEM and Level Set methods

	Document type :	Parts of books : Contribution to collective works
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering Engineering, computing & technology : Aerospace & aeronautics engineering
	To cite this reference:	http://hdl.handle.net/2268/18129

Title :	Generalized shape optimization using X-FEM and Level Set methods
Language :	English
Author, co-author :	Duysinx, Pierre [Université de Liège - ULg > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
	Van Miegroet, Laurent [Université de Liège - ULg > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
	Jacobs, Thibaut [ > > ]
	Fleury, Claude [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Optimisation multidisciplinaire >]
Publication date :	2006
Main document title :	IUTAM Sumposium on Topological Design Optimization of Structures, Machines, and Materials. Status and Perspectives
Author, co-author :	Bendsoe, M.-P.
	Olhoff, N.
	Sigmund, O.
Publisher :	Springer Verlag
Collection and collection volume :	Solids Mechanics and Its Application, volume 137
Keywords :	[en] Shape optimization ; Topology optimization ; XFEM
	[fr] 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.
Permalink :	http://hdl.handle.net/2268/18129

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