• Medientyp: E-Book
  • Titel: Topology optimization subject to additive manufacturing constraints
  • Beteiligte: Ebeling-Rump, Moritz [VerfasserIn]; Hömberg, Dietmar [VerfasserIn]; Lasarzik, Robert [VerfasserIn]; Petzold, Thomas [VerfasserIn]
  • Körperschaft: Weierstraß-Institut für Angewandte Analysis und Stochastik
  • Erschienen: Berlin: Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS), Leibniz-Institut im Forschungsverbund Berlin e.V., 2019
  • Erschienen in: Weierstraß-Institut für Angewandte Analysis und Stochastik: Preprint ; 2629
  • Umfang: 1 Online-Ressource (24 Seiten, 1.114 KB); Diagramme
  • Sprache: Englisch
  • DOI: 10.20347/WIAS.PREPRINT.2629
  • Identifikator:
  • Entstehung:
  • Schlagwörter: Forschungsbericht
  • Beschreibung: 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, which have only been tackled unsatisfactorily. The novel idea is to incorporate an Additive Manufacturing Constraint into the phase field method. A rigorous analysis proves the existence of a solution and leads to first order necessary optimality conditions. 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 engineering demands. Stability during 3D Printing is assured, which solves a common Additive Manufacturing problem.
  • Anmerkungen: Literaturverzeichnis: Seite 21-22
  • Zugangsstatus: Freier Zugang