Journal article
Higher-order multi-resolution topology optimization using the finite cell method : Higher-order multi-resolution topology optimization using the finite cell method
This article presents a detailed study on the potential and limitations of performing higher-order multi-resolution topology optimization with the finite cell method. To circumvent stiffness overestimation in high-contrast topologies, a length-scale is applied on the solution using filter methods. The relations between stiffness overestimation, the analysis system, and the applied length-scale are examined, while a high-resolution topology is maintained.
The computational cost associated with nested topology optimization is reduced significantly compared with the use of first-order finite elements. This reduction is caused by exploiting the decoupling of density and analysis mesh, and by condensing the higher-order modes out of the stiffness matrix.
Language: | English |
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Publisher: | John Wiley & Sons, Ltd |
Year: | 2017 |
Pages: | 903-920 |
ISSN: | 10970207 and 00295981 |
Types: | Journal article |
DOI: | 10.1002/nme.5432 |
ORCIDs: | Groen, Jeroen Peter and Sigmund, Ole |