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Stress constrained optimization using X-FEM and Level-Set description
Van Miegroet, Laurent; Jacobs, Thibault; Lemaire, Etienne et al.
2006In Proceedings of III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering
 

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Keywords :
Shape optimization; Level Set description; XFEM
Abstract :
[en] This paper presents and describes an intermediate approach which takes its place between the two classical methods of shape and topology optimization. It is based on using the recent Level Set description of the geometry and the novel eXtended Finite Element Method (X-FEM). The method benefits from the fixed mesh work using X-FEM and from 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 remains small whereas various global and local constraints can be considered. A key problem which is investigated here is the sensitivity analysis and the way it can be carried out precisely and efficiently. Numerical applications revisit some classical 2D (academic) benchmarks from shape optimization and illustrate the great interest of using X-FEM and Level Set description together. The paper presents the results of stress constrained problems using the proposed X-FEM and Level Set based formulation. A central issue is the sensitivity analysis (related to the compliance and/or the stresses) and the way it can be carried out efficiently. A special attention is also paid to stress constrained problems which are often neglected in other Level Set Methods works.
Disciplines :
Mechanical engineering
Aerospace & aeronautics engineering
Author, co-author :
Van Miegroet, Laurent ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Jacobs, Thibault
Lemaire, Etienne ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Conception géométrique assistée par ordinateur
Duysinx, Pierre  ;  Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Language :
English
Title :
Stress constrained optimization using X-FEM and Level-Set description
Publication date :
2006
Event name :
III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering
Event organizer :
C.A. Mota Soare
Event place :
Lisbonne, Portugal
Event date :
June 5-9, 2006
Audience :
International
Main work title :
Proceedings of III European Conference on Computational Mechanics. Solids, Structures and Coupled Problems in Engineering
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since 14 October 2009

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