Modeling the buckling strength of polypropylene stochastic honeycombs

Architecture–process relationships in stochastic honeycombs

“…The cross‐sectional area fraction (area of the skin or webs/area of the sample) was shown to decrease from 1 at the upper and lower skins to a plateau over the central third of the sample height, which varied with the relative density of the sample . Surface area and volume, two of the Minkowski functionals in three‐dimensions, were combined into an internal surface area to volume ratio, which was found to decrease as the core density increased, and could be used to obtain a value for the effective web thickness . In contrast, this study focuses on the formation of the initial web pattern; the simple back‐lit images given in Figure are able to illustrate this formation, and are used as the basis of architectural characterization.…”

“…While the process to fabricate stochastic honeycombs is simple, their internal architecture is not. Previous work analyzed the three‐dimensional architecture of stochastic honeycombs through X‐ray tomography using area fractions and Minkowski functionals (surface area, volume, and Euler number) . The cross‐sectional area fraction (area of the skin or webs/area of the sample) was shown to decrease from 1 at the upper and lower skins to a plateau over the central third of the sample height, which varied with the relative density of the sample .…”

“…After cooling, the structure consists of two as‐fabricated face sheets, or skins, separated by a network of interconnected webs. While stochastic honeycombs have a random internal structure, they nevertheless exhibit repeatable, predictable mechanical properties …”