Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction
- verfasst von
- Chuong Nguyen, Xiaoying Zhuang, Ludovic Chamoin, Hung Nguyen-Xuan, Xianzhong Zhao, Timon Rabczuk
- Abstract
We present an approach for designing material micro-structures by using isogeometric analysis and parameterized level set method. Design variables, which are level set values associated with control points, are updated from the optimizer and represent the geometry of the unit cell. The computational efficiency is further improved in each iteration by employing reduced order modeling when solving linear systems of the equilibrium equations. We construct a reduced basis by reusing computed solutions from previous optimization steps, and a much smaller linear system of equations is solved on the reduced basis. Two- and three-dimensional numerical results show the effectiveness of the topology optimization algorithm coupled with the reduced basis approach in designing metamaterials.
- Organisationseinheit(en)
-
Institut für Kontinuumsmechanik
- Externe Organisation(en)
-
Ho Chi Minh City University of Technology (HUTECH)
Bauhaus-Universität Weimar
Universität Paris-Saclay
Tongji University
- Typ
- Artikel
- Journal
- Computer Methods in Applied Mechanics and Engineering
- Band
- 371
- Anzahl der Seiten
- 23
- ISSN
- 0045-7825
- Publikationsdatum
- 01.11.2020
- Publikationsstatus
- Veröffentlicht
- Peer-reviewed
- Ja
- ASJC Scopus Sachgebiete
- Werkstoffmechanik, Maschinenbau, Physik und Astronomie (insg.), Angewandte Informatik, Numerische Mechanik
- Elektronische Version(en)
-
https://arxiv.org/abs/1908.11449 (Zugang:
Offen)
https://doi.org/10.1016/j.cma.2020.113306 (Zugang: Geschlossen)
