Topology optimization subject to additive manufacturing constraints

Journal of Mathematics in Industry

Thomas Petzold¹  Moritz Ebeling-Rump²  Robert Lasarzik²  Dietmar Hömberg² 

[1] INPRO – Innovationsgesellschaft für Fortgeschrittene Produktionssysteme in der Fahrzeugindustrie mbH, Steinplatz 2, 10623, Berlin, Germany;Weierstrass Institute, Mohrenstr. 39, 10117, Berlin, Germany;

关键词: Additive manufacturing;    Topology optimization;    Linear elasticity;    Phase field method;    Optimality conditions;    Numerical simulations;    49Q10;    74P05;    49Q20;    65M60;    74P10;   

DOI  :  10.1186/s13362-021-00115-6

来源: Springer

【 摘 要 】

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.

【 授权许可】

CC BY