Shape and topology optimization considering anisotropic features induced by additive manufacturing processes

Charles Dapogny (1) , Rafael Estevez (2) , Alexis Faure (2) , Georgios Michailidis (2)

1 CVGI - Calcul des Variations, Géométrie, Image
2 SIMaP - Science et Ingénierie des Matériaux et Procédés

This article is a contribution to the modelling of the effective properties of the constituent material of structures fabricated by additive manufacturing technologies, and of how they influence the design optimization process. On the one hand, emphasizing on the case where the particular material extrusion techniques are used, we propose a model for the anisotropic material properties of shapes depending on the (user-defined) trajectory followed by the machine tool during the assembly of each of their 2d layers. On the other hand, we take advantage of the potential of additive manufacturing technologies for constructing very small features, and we consider the optimization of the infill region of shapes with the goal to improve at the same time their lightness and robustness. The optimized and constraint functionals of the domain involved in the shape optimization problems in these two contexts are rigorously analyzed, notably by relying on the notion of signed distance function. Eventually, several numerical experiments are conducted in two dimensions to illustrate the main points of the study.

Domaines: Optimisation et contrôle [math.OC]

Charles Dapogny, Rafael Estevez, Alexis Faure, Georgios Michailidis. Shape and topology optimization considering anisotropic features induced by additive manufacturing processes. 2018. ⟨hal-01660850v2⟩