Design and Optimization of Conforming Lattice Structures

Jun Wu*, Weiming Wang, Xifeng Gao

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

89 Citations (Scopus)
140 Downloads (Pure)


Inspired by natural cellular materials such as trabecular bone, lattice structures have been developed as a new type of lightweight material. In this paper we present a novel method to design lattice structures that conform with both the principal stress directions and the boundary of the optimized shape. Our method consists of two major steps: the first optimizes concurrently the shape (including its topology) and the distribution of orthotropic lattice materials inside the shape to maximize stiffness under application-specific external loads; the second takes the optimized configuration (i.e., locally-defined orientation, porosity, and anisotropy) of lattice materials from the previous step, and extracts a globally consistent lattice structure by field-aligned parameterization. Our approach is robust and works for both 2D planar and 3D volumetric domains. Numerical results and physical verifications demonstrate remarkable structural properties of conforming lattice structures generated by our method.

Original languageEnglish
Article number8823060
Pages (from-to)43-56
Number of pages14
JournalIEEE Transactions on Visualization and Computer Graphics
Issue number1
Publication statusPublished - 2021

Bibliographical note

Accepted Author Manuscript


  • 3D printing
  • homogenization
  • Lattice structures
  • topology optimization


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  • LEaDing Fellows

    Gutierrez, A., Dols Perez, A., Bae, D., Sahoo, H., Wang, W., Lam, K. L., Raimondo, A., Steffelbauer, D. B., Lesne, E. L., Ragno, E., Amador, G. J., Šiaudinyte, L., Sand, M., Robinson Garcia, N., Abil, Z., Purkarthofer, E., Noardo, F., Tasić, J. K., Marin, L., Angeloni, L., loddo, M., Stockill, R. H. J., Franklin, S. W., Hensen, B. J., Dennis, M. J., Afroza Islam, S. T., Kim, T., Manzaneque Garcia, T., Tiringer, U., Marques Penha, F., Esteban Jurado, C., Timmermans, E., McCrum, I. T., Pool, F., Forn-Cuní, G., Will, G., Barrett, H. E., Everett, J. A. C., Kostenzer, J., Luksenburg, J., Hirvasniemi, J., Desai, J., Ruibal, P., Albury, N. J., March, R., Eichengreen, A., Muok, A. R., Cochrane, A., Ravesteijn, B., Riumalló Herl, C. J., Meeusen, C., Biaggi, C., Granger, C., Cecil, C., Fosch Villaronga, E., Sánchez López, E. S., Loehrer, E., da Costa Gonçalves, F., Giardina, F., Wu, H., Gleitz, H. & Khatri, I.


    Project: Research

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