Virtual charts for shape optimization of structures

Abstract : The paper presents the concept of "Virtual Charts" applied to computational structural mechanics. Based on the Proper Generalized Decomposition (PGD), a model reduction method, the idea is to create a numerical tool to help engineers to perform shape optimization, where quantities of interest, computed for all the geometrical configurations, will be stored. Two different approaches have been developed in order to introduce geometry variations as parameters in the PGD. Promising results were obtained for academic examples.
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Amaury Courard, David Néron, Pierre Ladevèze, Philippe Andolfatto, Alain Bergerot. Virtual charts for shape optimization of structures. 2nd ECCOMAS Young Investigators Conference (YIC 2013), Sep 2013, Bordeaux, France. 〈hal-00855876〉

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