Scaling between elasticity and topological genus for random network nanomaterials

We explore the hypothesis that the variation of the effective, macroscopic Young's modulus, Eeff, of a random network material with its scaled topological genus, g, and with the solid fraction, φ, can be decomposed into the product of g- and φ-dependent functions. Based on findings for nanoporous gold, supplemented by the Gibson–Ashby scaling law for Eeff, we argue that both functions are quadratic in bending-dominated structures. We present finite-element-modeling results for Eeff of coarsened microstructures, in which g and φ are decoupled. These results support the quadratic forms.

Content

Subjects

Elasticity

Finite-element modeling

Nanoporous gold

Network materials

Scaling laws

Topological genus

DDC Class

620: Engineering

530: Physics

Funding References

Funding(s)

Projekt DEAL

SFB 986: Teilprojekt B07 - Polymere in grenzflächenbestimmten Geometrien: Struktur, Dynamik und Funktion an planaren und in porösen Hybridsystemen

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Lizenz

https://creativecommons.org/licenses/by/4.0/

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publishedVersion

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1-s2.0-S2352431624000270-main.pdf

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