Reference : Generalized shape optimization using XFEM and Level Set methods
Scientific congresses and symposiums : Paper published in a book
Engineering, computing & technology : Aerospace & aeronautics engineering
Engineering, computing & technology : Mechanical engineering
http://hdl.handle.net/2268/25589
Generalized shape optimization using XFEM and Level Set methods
English
Duysinx, Pierre mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
Van Miegroet, Laurent mailto [Université de Liège - ULg > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres >]
jacobs, Thibaut mailto [ > > ]
Fleury, Claude [Université de Liège - ULg > Département d'aérospatiale et mécanique > LTAS - Optimisation multidisciplinaire >]
Oct-2005
Proceedings of Topopt SYMP2005, IUTAM Symposium. Topological Design Optimization of Structures, Machines and Materials. Status and Perspectives
Bendsoe, M.-P. mailto
Olhoff, N. mailto
Sigmund, O. mailto
Yes
Yes
International
Topopt SYMP2005, IUTAM Symposium. Topological Design Optimization of Structures, Machines and Materials. Status and Perspectives
October 26-29, 2005
M.P. Bendsoe, N. Olhoff and O. Sigmund
Rungstegaard - Copenhagen
Denmark
[en] Topology Optimization ; Shape optimization ; XFEM ; Level Set
[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.
http://hdl.handle.net/2268/25589

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