Issue No. 02 - Feb. (2018 vol. 24)
Jun Wu , Department of Mechanical Engineering, Technical University of Denmark, Lyngby, Denmark
Niels Aage , Department of Mechanical Engineering, Technical University of Denmark, Lyngby, Denmark
Rudiger Westermann , Department of Computer Science, Technische Universität München, Garching, Germany
Ole Sigmund , Department of Mechanical Engineering, Technical University of Denmark, Lyngby, Denmark
Porous structures such as trabecular bone are widely seen in nature. These structures are lightweight and exhibit strong mechanical properties. In this paper, we present a method to generate bone-like porous structures as lightweight infill for additive manufacturing. Our method builds upon and extends voxel-wise topology optimization. In particular, for the purpose of generating sparse yet stable structures distributed in the interior of a given shape, we propose upper bounds on the
localized material volume in the proximity of each voxel in the design domain. We then aggregate the local per-voxel constraints by their p-norm into an equivalent global constraint, in order to facilitate an efficient optimization process. Implemented on a high-resolution topology optimization framework, our results demonstrate mechanically optimized, detailed porous structures which mimic those found in nature. We further show variants of the optimized structures subject to different design specifications, and we analyze the optimality and robustness of the obtained structures.
Optimization, Bones, Topology, Solids, Three-dimensional printing, Shape, Mechanical factors
J. Wu, N. Aage, R. Westermann and O. Sigmund, "Infill Optimization for Additive Manufacturing?Approaching Bone-Like Porous Structures," in IEEE Transactions on Visualization & Computer Graphics, vol. 24, no. 2, pp. 1127-1140, 2018.