Journal article · Preprint article
De-homogenization of optimal multi-scale 3D topologies
Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark1
Department of Mechanical Engineering, Technical University of Denmark2
Visual Computing, Department of Applied Mathematics and Computer Science, Technical University of Denmark3
Department of Applied Mathematics and Computer Science, Technical University of Denmark4
Acoustic Technology, Department of Electrical Engineering, Technical University of Denmark5
This paper presents a highly efficient method to obtain high-resolution, near-optimal 3D topologies optimized for minimum compliance on a standard PC. Using an implicit geometry description we derive a single-scale interpretation of optimal multi-scale designs on a very fine mesh (de-homogenization).
By performing homogenization-based topology optimization, optimal multi-scale designs are obtained on a relatively coarse mesh resulting in a low computational cost. As microstructure parameterization we use orthogonal rank-3 microstructures, which are known to be optimal for a single loading case. Furthermore, a method to get explicit control of the minimum feature size and complexity of the final shapes will be discussed.
Numerical examples show excellent performance of these fine-scale designs resulting in objective values similar to the homogenization-based designs. Comparisons with well-established density-based topology optimization methods show a reduction in computational cost of 3 orders of magnitude, paving the way for giga-scale designs on a standard PC.
Language: | English |
---|---|
Year: | 2020 |
Pages: | 112979 |
ISSN: | 18792138 and 00457825 |
Types: | Journal article and Preprint article |
DOI: | 10.1016/j.cma.2020.112979 |
ORCIDs: | Groen, Jeroen P. , Aage, Niels , Bærentzen, Jakob A. and Sigmund, Ole |
De-homogenization Giga-scale topology optimization Length-scale enforcement Numerical efficiency Optimal microstructures