%0 journal article
%@ 2352-4316
%A Sohn, S.,Richert, C.,Shi, S.,Weissmüller, J.,Huber, N.
%D 2024
%J Extreme Mechanics Letters
%N 
%P 102147 
%R doi:10.1016/j.eml.2024.102147
%T Scaling between elasticity and topological genus for random network nanomaterials
%U https://doi.org/10.1016/j.eml.2024.102147
 
%X We explore the hypothesis that the variation of the effective, macroscopic Young’s modulus, , of a random network material with its scaled topological genus, , and with the solid fraction, , can be decomposed into the product of - and -dependent functions. Based on findings for nanoporous gold, supplemented by the Gibson–Ashby scaling law for , we argue that both functions are quadratic in bending-dominated structures. We present finite-element-modeling results for of coarsened microstructures, in which and are decoupled. These results support the quadratic forms.