Details
| Original language | English |
|---|---|
| Pages (from-to) | 95-119 |
| Number of pages | 25 |
| Journal | Structural and Multidisciplinary Optimization |
| Volume | 63 |
| Issue number | 1 |
| Early online date | 8 Oct 2020 |
| Publication status | Published - Jan 2021 |
| Externally published | Yes |
Abstract
The benefit of adaptive meshing strategies for a recently introduced thermodynamic topology optimization is presented. Employing an elementwise gradient penalization, stability is obtained and checkerboarding prevented while very fine structures can be resolved sharply using adaptive meshing at material-void interfaces. The usage of coarse elements and thereby smaller design space does not restrict the obtainable structures if a proper adaptive remeshing is considered during the optimization. Qualitatively equal structures and quantitatively the same stiffness as for uniform meshing are obtained with less degrees of freedom, memory requirement and overall optimization runtime. In addition, the adaptivity can be used to zoom into coarse global structures to better resolve details of interesting spots such as truss nodes.
Keywords
- Adaptivity, Geometric multigrid, Thermodynamic topology optimization
ASJC Scopus subject areas
- Computer Science(all)
- Software
- Engineering(all)
- Control and Systems Engineering
- Computer Science(all)
- Computer Science Applications
- Computer Science(all)
- Computer Graphics and Computer-Aided Design
- Mathematics(all)
- Control and Optimization
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Structural and Multidisciplinary Optimization, Vol. 63, No. 1, 01.2021, p. 95-119.
Research output: Contribution to journal › Article › Research › peer review
}
TY - JOUR
T1 - Adaptive thermodynamic topology optimization
AU - Vogel, Andreas
AU - Junker, Philipp
N1 - Funding information: We gratefully acknowledge the computing time on the computing cluster of the SFB 837 and the Department of Civil and Environmental Engineering of the Ruhr University Bochum, Germany, which has been employed for the presented studies.
PY - 2021/1
Y1 - 2021/1
N2 - The benefit of adaptive meshing strategies for a recently introduced thermodynamic topology optimization is presented. Employing an elementwise gradient penalization, stability is obtained and checkerboarding prevented while very fine structures can be resolved sharply using adaptive meshing at material-void interfaces. The usage of coarse elements and thereby smaller design space does not restrict the obtainable structures if a proper adaptive remeshing is considered during the optimization. Qualitatively equal structures and quantitatively the same stiffness as for uniform meshing are obtained with less degrees of freedom, memory requirement and overall optimization runtime. In addition, the adaptivity can be used to zoom into coarse global structures to better resolve details of interesting spots such as truss nodes.
AB - The benefit of adaptive meshing strategies for a recently introduced thermodynamic topology optimization is presented. Employing an elementwise gradient penalization, stability is obtained and checkerboarding prevented while very fine structures can be resolved sharply using adaptive meshing at material-void interfaces. The usage of coarse elements and thereby smaller design space does not restrict the obtainable structures if a proper adaptive remeshing is considered during the optimization. Qualitatively equal structures and quantitatively the same stiffness as for uniform meshing are obtained with less degrees of freedom, memory requirement and overall optimization runtime. In addition, the adaptivity can be used to zoom into coarse global structures to better resolve details of interesting spots such as truss nodes.
KW - Adaptivity
KW - Geometric multigrid
KW - Thermodynamic topology optimization
UR - http://www.scopus.com/inward/record.url?scp=85092364561&partnerID=8YFLogxK
U2 - 10.1007/s00158-020-02667-4
DO - 10.1007/s00158-020-02667-4
M3 - Article
AN - SCOPUS:85092364561
VL - 63
SP - 95
EP - 119
JO - Structural and Multidisciplinary Optimization
JF - Structural and Multidisciplinary Optimization
SN - 1615-147X
IS - 1
ER -