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.
|Journal||International Journal for Numerical Methods in Engineering|
|Publication status||Published - 2017|
- Topology optimization
- Finite cell method
- Method; higher-order FEM
Groen, J. P., Langelaar, M., Sigmund, O., & Ruess, M. (2017). Higher-order multi-resolution topology optimization using the finite cell method. International Journal for Numerical Methods in Engineering, 110(10), 903–920 . https://doi.org/10.1002/nme.5432