Triply Periodic Bicontinuous Cubic Microdomain Morphologies by Symmetries

By M. Wohlgemuth, N. Yufa, James T. Hoffman, E. Thomas. 2001

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Acoustic absorptions of multifunctional polymeric cellular structures based on triply periodic minimal surfaces fabricated by stereolithography (2020, background): “These surfaces divide the space into two interlocked sub-domains while maintaining the voids (Wohlgemuth et al. 2001; Rajagopalan and Robb 2006).”
Effective design and simulation of surface-based lattice structures featuring volume fraction and cell type grading (2018, methodology): “There are several sources for the series approximations to the primitive, gyroid, diamond, and I-WP surfaces [34-37], though they sometimes differ in the number of Fourier expansion terms they include.”
The stiffness and strength of the gyroid lattice (2014, background): “A close approximation to the gyroid is given by (Wohlgemuth et al., 2001; Lambert et al., 1996) F (x, y, z) = t, (1) where, F (x, y, z) = sin ( 2πx a ) cos ( 2πy a ) + sin ( 2πy a ) cos ( 2πz a ) + sin ( 2πz a ) cos ( 2πx a ) , (2) 4Other minimal surfaces exist such as Weaire-Phelan structure,…”