Details
| Originalsprache | Englisch |
|---|---|
| Aufsatznummer | 113306 |
| Seitenumfang | 23 |
| Fachzeitschrift | Computer Methods in Applied Mechanics and Engineering |
| Jahrgang | 371 |
| Frühes Online-Datum | 18 Aug. 2020 |
| Publikationsstatus | Veröffentlicht - 1 Nov. 2020 |
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.
ASJC Scopus Sachgebiete
- Ingenieurwesen (insg.)
- Werkstoffmechanik
- Ingenieurwesen (insg.)
- Maschinenbau
- Physik und Astronomie (insg.)
- Informatik (insg.)
- Angewandte Informatik
- Ingenieurwesen (insg.)
- Numerische Mechanik
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in: Computer Methods in Applied Mechanics and Engineering, Jahrgang 371, 113306, 01.11.2020.
Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review
}
TY - JOUR
T1 - Three-dimensional topology optimization of auxetic metamaterial using isogeometric analysis and model order reduction
AU - Nguyen, Chuong
AU - Zhuang, Xiaoying
AU - Chamoin, Ludovic
AU - Nguyen-Xuan, Hung
AU - Zhao, Xianzhong
AU - Rabczuk, Timon
N1 - CN acknowledges the support of the ERC project (802205).
PY - 2020/11/1
Y1 - 2020/11/1
N2 - 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.
AB - 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.
KW - cs.CE
KW - Isogeometric analysis
KW - Bézier extraction
KW - Topology optimization
KW - Metamaterials
KW - Reduced order model
UR - http://www.scopus.com/inward/record.url?scp=85089543554&partnerID=8YFLogxK
U2 - 10.1016/j.cma.2020.113306
DO - 10.1016/j.cma.2020.113306
M3 - Article
VL - 371
JO - Computer Methods in Applied Mechanics and Engineering
JF - Computer Methods in Applied Mechanics and Engineering
SN - 0045-7825
M1 - 113306
ER -