2024/04/23 by Sohn, Seoyun, Richert, Claudia, Shi, Shan +2
#Elasticity #Engineering and Applied Operations #Finite-element modeling #Nanoporous gold #Network materials #Physics #Scaling laws #Topological genus
paper · doi:10.15480/882.9507
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.