Catalog of triply periodic minimal surfaces, equation-based lattice structures, and their homogenized property data

Joseph W Fisher; Simon W Miller; Joseph Bartolai; Timothy W Simpson; Michael A Yukish

doi:10.1016/j.dib.2023.109311

Catalog of triply periodic minimal surfaces, equation-based lattice structures, and their homogenized property data

Data Brief. 2023 Jun 14:49:109311. doi: 10.1016/j.dib.2023.109311. eCollection 2023 Aug.

Authors

Joseph W Fisher^{1

2}, Simon W Miller², Joseph Bartolai², Timothy W Simpson^{1

3}, Michael A Yukish²

Affiliations

¹ Department of Mechanical Engineering, The Pennsylvania State University, University Park, PA 16802, USA.
² Applied Research Laboratory, The Pennsylvania State University, State College, PA 16803, USA.
³ Department of Industrial and Manufacturing Engineering, The Pennsylvania State University, University Park, PA 16802, USA.

Abstract

The use of lattice structure in the Design for Additive Manufacturing (DfAM) engineering practice offers the ability to tailor the properties (and therefore the response) of an engineered component independent of the material and overall geometry. The selection of a lattice topology is critical in maximizing the value of the lattice structure and its unique properties for the intended application. To support this, we have compiled a catalog of lattice structures from the literature that includes all Triply Periodic Minimal Surfaces (TPMS) for which a low-order Fourier series fit is known (so that they can be modeled and manufactured). We also include equations that do not directly correspond to known TPMS but do produce a triply periodic structure without sharp corners that would give rise to stress concentrations. This catalog includes images, elastic mechanical property data, and CAD models useful for the visualization, selection, and implementation of these lattice structures for any engineered structure.

Keywords: 3D printing; Additive manufacturing; Computer aided design; DfAM; Elastic properties; Engineering design; Lattice structures; Lightweighting.