Homogenization-based topology optimization for high-resolution manufacturable micro-structures

Jeroen Peter Groen*, Ole Sigmund

*Corresponding author for this work

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This paper presents a projection method to obtain high-resolution, manufacturable structures from efficient and coarse-scale, homogenization-based topology optimization results. The presented approach bridges coarse and fine scale, such that the complex periodic micro-structures can be represented by a smooth and continuous lattice on the fine mesh. A heuristic methodology allows control of the projected topology, such that a minimum length-scale on both solid and void features is ensured in the final result. Numerical examples show excellent behavior of the method, where performances of the projected designs are almost equal to the homogenization-based solutions. A significant reduction in computational cost is observed compared to conventional topology optimization approaches.
Original languageEnglish
JournalInternational Journal for Numerical Methods in Engineering
Issue number8
Pages (from-to)1148-1163
Publication statusPublished - 2018


  • Topology optimization
  • Homogenization
  • Manufacturing constraints
  • High-resolution

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