Topology optimization subject to additive manufacturing constraints

Abstract In topology optimization the goal is to find the ideal material distribution in a domain subject to external forces. The structure is optimal if it has the highest possible stiffness. A volume constraint ensures filigree structures, which are regulated via a Ginzburg–Landau term. During 3D...

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Bibliographic Details
Main Authors: Moritz Ebeling-Rump, Dietmar Hömberg, Robert Lasarzik, Thomas Petzold
Format: article
Language:EN
Published: SpringerOpen 2021
Subjects:
Online Access:https://doaj.org/article/353f35641fa44c95adb93b83d68db430
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Summary:Abstract In topology optimization the goal is to find the ideal material distribution in a domain subject to external forces. The structure is optimal if it has the highest possible stiffness. A volume constraint ensures filigree structures, which are regulated via a Ginzburg–Landau term. During 3D printing overhangs lead to instabilities. As a remedy an additive manufacturing constraint is added to the cost functional. First order optimality conditions are derived using a formal Lagrangian approach. With an Allen-Cahn interface propagation the optimization problem is solved iteratively. At a low computational cost the additive manufacturing constraint brings about support structures, which can be fine tuned according to demands and increase stability during the printing process.