A projection approach for topology optimization of porous structures through implicit local volume control

Suguang Dou*

*Corresponding author for this work

Research output: Contribution to journalJournal articleResearchpeer-review


Porous structures are of valuable importance in additive manufacturing. They can also be exploited to improve damage tolerance and fail-safe behavior. This paper presents a projection approach to design optimized porous structures in the framework of density-based topology optimization. In contrast to conventional constraint approach, the maximum local volume limitation is integrated into the material interpolation model through a filtering and projection process. This paper also presents two extensions of the basic approach, including a robust formulation for improving weak structural features and mesh/design refinement for enhancing computational stability and efficiency. The applicability of the proposed methodology is demonstrated by a set of numerical minimum compliance problems. This approach can be used in a wider range of applications concerning porous structures.
Original languageEnglish
JournalStructural and Multidisciplinary Optimization
Number of pages16
Publication statusAccepted/In press - 2020


  • Topology optimization
  • Porous structure
  • Projection apporach
  • Additive manufacturing
  • Damage tolerance
  • Fail safe

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