Topology optimization of 3D shell structures with porous infill

Anders Clausen, Erik Andreassen, Ole Sigmund

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This paper presents a 3D topology optimization approach for designing shell structures with a porous or void interior. It is shown that the resulting structures are significantly more robust towards load perturbations than completely solid structures optimized under the same conditions. The study indicates that the potential benefit of using porous structures is higher for lower total volume fractions. Compared to earlier work dealing with 2D topology optimization, we found several new effects in 3D problems. Most notably, the opportunity for designing closed shells significantly improves the performance of porous structures due to the sandwich effect. Furthermore, the paper introduces improved filter boundary conditions to ensure a completely uniform coating thickness at the design domain boundary.
Original languageEnglish
JournalActa Mechanica Sinica
Issue number4
Pages (from-to)778-791
Publication statusPublished - 2017


  • Coating
  • Shell structure
  • Topology optimization
  • Two-step filtering


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