Details
| Original language | English |
|---|---|
| Article number | 113306 |
| Number of pages | 23 |
| Journal | Computer Methods in Applied Mechanics and Engineering |
| Volume | 371 |
| Early online date | 18 Aug 2020 |
| Publication status | Published - 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.
Keywords
- cs.CE, Isogeometric analysis, Bézier extraction, Topology optimization, Metamaterials, Reduced order model
ASJC Scopus subject areas
- Engineering(all)
- Mechanics of Materials
- Engineering(all)
- Mechanical Engineering
- Physics and Astronomy(all)
- Computer Science(all)
- Computer Science Applications
- Engineering(all)
- Computational Mechanics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Computer Methods in Applied Mechanics and Engineering, Vol. 371, 113306, 01.11.2020.
Research output: Contribution to journal › Article › Research › 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 -