Homogenization-based stiffness optimization and projection of 2D coated structures with orthotropic infill

Jeroen P. Groen*, Jun Wu, Ole Sigmund

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

114 Citations (Scopus)
129 Downloads (Pure)


This paper concerns compliance minimization and projection of coated structures with orthotropic infill material in 2D. The purpose of the work is two-fold. First, we introduce an efficient homogenization-based approach to perform topology optimization of coated structures with orthotropic infill material. The design space is relaxed to allow for a composite material description, which means that designs with complex microstructures can be obtained on relatively coarse meshes. Second, a method is presented to project the homogenization-based designs on a fine but realizable scale. A novel method to adaptively refine the lattice structure is presented to allow for a regular spacing of the infill. Numerical experiments show excellent behavior of the projected designs, with structural performance almost identical to the homogenization-based designs. Furthermore, a reduction in computational cost of at least an order of magnitude is achieved, compared to a related approach in which the infill is optimized using a density-based approach.

Original languageEnglish
Pages (from-to)722-742
Number of pages21
JournalComputer Methods in Applied Mechanics and Engineering
Publication statusPublished - 2019

Bibliographical note

Accepted author manuscript


  • Coated structures
  • High-resolution
  • Homogenization
  • Infill
  • Topology optimization


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