SKM 2023 – wissenschaftliches Programm
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MM: Fachverband Metall- und Materialphysik
MM 42: Interface Controlled Properties and Nanomaterials: Nanoporous Materials and Nanolaminates
MM 42.7: Vortrag
Donnerstag, 30. März 2023, 17:30–17:45, SCH A 215
Scaling between elasticity and topological genus of nanoporous metals — •Seoyun Sohn1,2, Claudia Richert1, Shan Shi3,1, Jürgen Markmann1,2, Norbert Huber1,2, and Jörg Weissmüller2,1 — 1Institute of Materials Mechanics, Helmholtz-Zentrum Hereon, Geesthacht, Germany — 2Institute of Materials Physics and Technology, Hamburg University of Technology, Hamburg, Germany — 3Research Group of Integrated Metallic Nanomaterials Systems, Hamburg University of Technology, Hamburg, Germany
Nanoporous gold (NPG) made by dealloying has emerged as a model material for random networks and specifically for studies of their mechanics. The mechanical behavior of such open-cell foam structures has been expressed by classical Gibson-Ashby relations. They highlight the solid volume fraction as the most obvious descriptor of strength and stiffness. Yet, recent research acknowledges that Young’s modulus, Y, of NPG may significantly depend on additional microstructural descriptors, specifically on the scaled topological genus, g, as a measure of the network’s connectivity. It represents the number of connections within a representative volume element of the microstructure. Here, we explore the nature of the dependency of Y on g, and we condense the observations into a scaling law that explicitly involves the scaled genus. Our study inspects and assesses the implications of the existing database, from experiment and simulation, and it adds simulation data for random networks with various scaled genera. The results suggest a common scaling that is broadly comparable to experimental observations.