Cellular solids are a class of materials that have many interesting engineering applications, including ultralight structural materials . The traditional method for analyzing these solids uses convex uniform polyhedral honeycombs to represent the geometry of the material , and this approach has carried over into the design of digital cellular solids . However, the use of such honeycomb-derived lattices makes the problem of decomposing a three-dimensional lattice into a library of two-dimensional parts non-trivial. We introduce a method for generating periodic frameworks from Triply Periodic Minimal Surfaces (TPMS), which result in geometries that are easier to decompose into digital parts. Additionally, we perform multi-scale analysis of two cellular solids generated from two TPMS, the P- and D-Schwarz, and two cellular solids, the Kelvin and Octet honeycombs. We show that the simulated behavior of these TMPS-derived structures shows the expected modulus of the cellular solid scaling linearly with relative density, and matches the behavior of the octet truss.
- Manufacturing Engineering Division
Evaluation of Cellular Solids Derived From Triply Periodic Minimal Surfaces
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Cellucci, D, & Cheung, KC. "Evaluation of Cellular Solids Derived From Triply Periodic Minimal Surfaces." Proceedings of the ASME 2016 11th International Manufacturing Science and Engineering Conference. Volume 2: Materials; Biomanufacturing; Properties, Applications and Systems; Sustainable Manufacturing. Blacksburg, Virginia, USA. June 27–July 1, 2016. V002T01A020. ASME. https://doi.org/10.1115/MSEC2016-8849
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