A direct approach for continuous topology optimization subject to admissible loading

Zied Kammoun; Hichem Smaoui

doi:10.1016/j.crme.2014.06.003

A direct approach for continuous topology optimization subject to admissible loading
[Une approche directe pour l'optimisation de la topologie continue sous chargement admissible]

Zied Kammoun ¹ ; Hichem Smaoui ²

¹ Université de Tunis El Manar, École nationale d'ingénieurs de Tunis, LR11ES16, Laboratoire de matériaux, optimisation et énergie pour la durabilité, B.P. 37, 1002, Tunis-Belvédère, Tunisia
² Salman bin Abdulaziz University, College of Engineering, P.O. Box 655, Al-Kharj 11942, Saudi Arabia

Comptes Rendus. Mécanique, Volume 342 (2014) no. 9, pp. 520-531.

Résumé
Abstract

Dans le présent article, une méthode est proposée pour l'optimisation de la topologie des milieux continues soumis à des conditions d'admissibilité statique et plastique relativement à un chargement imposé. Une propriété essentielle de la méthode est qu'en utilisant une discrétisation par éléments finis, la forme du problème d'optimisation de la topologie résultant est similaire à celle du problème direct de l'analyse limite formulé selon l'approche statique. La méthode proposée est formulée en déformations planes en utilisant un matériau de Tresca. Elle est illustrée à travers des exemples de problèmes issus de la littérature.

In the present paper, a method is proposed for topology optimization of continuum structures subject to static and plastic admissibility conditions relative to a prescribed load. A key feature of the method is that, using a finite-element discretization, the form of the resulting topology optimization problem is similar to that of the direct static approach of the limit analysis problem. The proposed method is formulated in plane strain using Tresca materials and is illustrated on example problems taken from the literature.

Reçu le : 2014-04-22
Accepté le : 2014-06-16
Publié le : 2014-07-09

DOI : 10.1016/j.crme.2014.06.003

Keywords: Plastic, Topology, Optimization, Continuum, Limit analysis
Mots-clés : Plastique, Topologie, Optimisation, Continuum, Analyse limite

Affiliations des auteurs :

Zied Kammoun ¹ ; Hichem Smaoui ²

¹ Université de Tunis El Manar, École nationale d'ingénieurs de Tunis, LR11ES16, Laboratoire de matériaux, optimisation et énergie pour la durabilité, B.P. 37, 1002, Tunis-Belvédère, Tunisia
² Salman bin Abdulaziz University, College of Engineering, P.O. Box 655, Al-Kharj 11942, Saudi Arabia

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     title = {A direct approach for continuous topology optimization subject to admissible loading},
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     pages = {520--531},
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     language = {en},
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Zied Kammoun; Hichem Smaoui. A direct approach for continuous topology optimization subject to admissible loading. Comptes Rendus. Mécanique, Volume 342 (2014) no. 9, pp. 520-531. doi : 10.1016/j.crme.2014.06.003. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.1016/j.crme.2014.06.003/

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