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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2017

Shape optimization of a layer by layer mechanical constraint for additive manufacturing

Résumé

The purpose of this note is to introduce a new functional of the domain, to be used in shape optimization problems as a means to enforce the constructibility of shapes by additive manufacturing processes. This functional aggregates the self-weights of all the intermediate structures of the shape appearing in the course of its layer by layer assembly. Its mathematical analysis is outlined and an algorithm is proposed to accelerate the significant computational effort entailed by the implementation of these ideas. Eventually, a numerical validation and a concrete example are discussed.
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Dates et versions

hal-01398877 , version 1 (18-11-2016)
hal-01398877 , version 2 (06-02-2017)

Identifiants

Citer

Grégoire Allaire, Charles Dapogny, Alexis Faure, Georgios Michailidis. Shape optimization of a layer by layer mechanical constraint for additive manufacturing. Comptes Rendus. Mathématique, 2017, 355 (6), pp.699-717. ⟨10.1016/j.crma.2017.04.008⟩. ⟨hal-01398877v2⟩
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