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Towards adaptive topology optimization

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Nana, Alexandre et Cuillière, Jean-Christophe et Francois, Vincent (2016). Towards adaptive topology optimization. Advances in Engineering Software, 100 . p. 290-307. ISSN 0965-9978 DOI 10.1016/j.advengsoft.2016.08.005

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Résumé

This paper presents a new fully-automated adaptation strategy for structural topology optimization (TO) methods. In this work, TO is based on the SIMP method on unstructured tetrahedral meshes. The SIMP density gradient is used to locate solid-void interface and h-adaptation is applied for a better definition of this interface and, at the same time, de-refinement is performed to coarsen the mesh in fully solid and void regions. Since the mesh is no longer uniform after such an adaptation, classical filtering techniques have to be revisited to ensure mesh-independency and checkerboard-free designs. Using this adaptive scheme improves the objective function minimization and leads to a higher resolution in the description of the optimal shape boundary (solid-void interface) at a lower computational cost. This paper combines a 3D implementation of the SIMP method for unstructured tetrahedral meshes with an original mesh adaptation strategy. The approach is validated on several examples to illustrate its effectiveness.

Type de document: Article
Mots-clés libres: topology optimization SIMP adaptation filtering
Date de dépôt: 17 mai 2021 13:43
Dernière modification: 17 mai 2021 13:43
Version du document déposé: Post-print (version corrigée et acceptée)
URI: http://depot-e.uqtr.ca/id/eprint/9613

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