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

Grégoire Allaire; Charles Dapogny; Alexis Faure; Georgios Michailidis

doi:10.1016/j.crma.2017.04.008

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

Grégoire Allaire
, Charles Dapogny
, Alexis Faure
, Georgios Michailidis

Université Paris-Saclay
LTHE (UMR 5564 CNRS/IRD/Université de Grenoble)
UMR 5614 CNRS/ENSEEG

Research output: Contribution to journal › Article › peer-review

43 Citations (Scopus)

Abstract

The purpose of this article 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 performed 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.

Translated title of the contribution	Optimisation de forme pour une contrainte mécanique associée aux procédés de fabrication additive
Original language	English
Pages (from-to)	699-717
Number of pages	19
Journal	Comptes Rendus Mathematique
Volume	355
Issue number	6
DOIs	https://doi.org/10.1016/j.crma.2017.04.008
Publication status	Published - 1 Jun 2017
Externally published	Yes

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10.1016/j.crma.2017.04.008

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

Abstract

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