Shape optimization, Level Set Description, XFEM, Periodic Microstructure, Vigdergauz Microstructure
Abstract :
[en] As suggested by Sigmund, material tailoring can be formulated as a structural optimization problem. However microstructural geometries can be rather complex while optimization process may introduce large shape modifications of boundaries and material interfaces. To circumvent the technical difficulties of classical shape optimization relying on numerous and tedious CAD model manipulations and remesh- ing, the Level Set description combined with a non-conforming XFEM analysis is a promising approach. In the present work, this approach that has been developed in work by Van Miegroet is extended to the investigation of periodic microstructures subject to compliance or stress constraints. The approach is illustrated on the famous problem of the Vigdergauz microstructure.
Disciplines :
Mechanical engineering
Author, co-author :
Noël, Lise ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Van Miegroet, Laurent
Duysinx, Pierre ; Université de Liège - ULiège > Département d'aérospatiale et mécanique > Ingénierie des véhicules terrestres
Language :
English
Title :
Shape optimization of periodic microstructures subject to stiffness and local stress constraints
Publication date :
May 2013
Event name :
10th World Congress on Structural and Multidisciplinary Optimization
Event place :
Orlando, United States
Event date :
du 19 mai 2013 au 24 mai 2013
Audience :
International
Main work title :
Proceedings of the 10th World Congress on Structural and Multidisciplinary Optimization: Orlanda (USA), 19-24 mai 2013
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