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January 2022
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Grégoire Allaire
Monday 17 June 2019
Grégoire Allaire (CMAP, Polytechnique)
Shape optimization with constraints coming from additive manufacturing.
Abstract : We discuss models and constraints for shape and topology optimization of structures,
built by additive manufacturing techniques. The goal of these constraints is to take into account
the occurence of overhangs, thermal residual stresses or thermal deformations, generated by
processes like Selective Laser Melting,
right from the beginning of the structural design optimization. In other words, the structure is optimized
concurrently for its final use and for its behavior during the layer by layer production process.
It is well known that metallic additive manufacturing generates very high temperatures and heat
fluxes, which in turn yield thermal deformations that may prevent the coating of a new powder
layer, or thermal residual stresses that may hinder the mechanical properties
of the final design. Our proposed constraints are targeted to avoid these undesired effects.
Another possibility is to add (and optimize) supports to the structure for improving its
manufacturability.
Shape derivatives are computed by an adjoint method and are incorporated into a level set
numerical optimization algorithm. Several 2-d and 3-d numerical examples will be displayed.
This is a joint work with Beniamin Bogosel, Charles Dapogny and Lukas Jakabcin