Design of spatially-varying orthotropic infill structures using multiscale topology optimization and explicit de-homogenization

Jaewook Lee, Chiyoung Kwon, Jeonghoon Yoo, Seungjae Min, Tsuyoshi Nomura, Ercan M. Dede

Research output: Contribution to journalArticlepeer-review

15 Citations (Scopus)


This paper presents a systematic design procedure of shell-infill structures for additive manufacturing (AM). Specifically, multiscale topology optimization based on the homogenization design method is employed for the design of a structure composed of coated exterior and spatially-varying orthotropic interior. The proposed procedure consists of five sequential steps including homogenization, topology optimization, and de-homogenization processes. Through the homogenization step, the effective elasticity tensor of the orthotropic infill microstructure is prepared as a function of microstructure design variables. In the topology optimization step, microstructure design variables are optimized together with the density design variable, for the simultaneous design of the infill microstructure and coated macrostructure. Finally, a spatially-varying infill microstructure is restored using a de-homogenization process. This study proposes a practical de-homogenization scheme that restores a designed infill microstructure using the explicit geometry representation of rectangular void holes. The proposed scheme is suitable to generate a result in a Computer-Aided Design (CAD) format for AM. The effectiveness of the proposed design procedure is validated through two design examples for compliance minimization problem. In addition, designed shell-infill structures are fabricated using a multi-jet printing machine.

Original languageEnglish
Article number101920
JournalAdditive Manufacturing
Publication statusPublished - 2021 Apr

Bibliographical note

Funding Information:
This work was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MEST) ( NRF-2019R1A2C1002808 ), and GIST Research Institute (GRI) grant funded by the GIST in 2020.

Publisher Copyright:
© 2021 Elsevier B.V.

All Science Journal Classification (ASJC) codes

  • Biomedical Engineering
  • Materials Science(all)
  • Engineering (miscellaneous)
  • Industrial and Manufacturing Engineering


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