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Publisher DOI: 10.1016/j.actamat.2016.08.028
Title: A principle curvatures analysis of the isothermal evolution of nanoporous gold: Quantifying the characteristic length-scales
Language: English
Authors: Ziehmer, Markus 
Hu, Kaixiong 
Wang, Ke 
Lilleodden, Erica 
Keywords: nanoporous gold; principle curvatures; microstructure evolution; focused ion beam tomography; self-similarity
Issue Date: 16-Aug-2016
Publisher: Elsevier
Source: Acta Materialia (120): 24-31 (2016)
Abstract (english): 
A study of the isothermal evolution of a nanoporous gold (npg) microstructure after dealloying has been performed. In order to adequately characterize its complex three-dimensional bicontinuous ligamentring structure, an analysis of the scaled principle curvatures k1 and k2 based on representative volumes of meshed 3D reconstructions was applied. Five npg samples, as obtained from an electrolytical dealloying process, with different mean ligament diameters ranging from ca. 25 nm (as-dealloyed) to ca. 420 nm (from annealing at 300 C) were analyzed. The results indicate that ligament surface flattening effects lead to small but distinct morphological changes during the investigated early and mid-stages of coarsening, visible in the scaled k1- and k2- marginal distributions. Thus, strictly speaking, self-similar evolution of npg cannot be confirmed, but dependent on the specific application, the evolution might be seen as “sufficiently” self-similar. Moreover, it is shown that the inverse mean principle curvatures from the marginal distributions can be used to identify the mean sizes of the two salient structural features, namely the ligaments and the rings. Both inverse mean principle curvatures scale linearly with the mean ligament diameter. Thus, for the material used in this study, one parameter is sufficient to characterize its microstructure. Finally, it is shown that rings resembling the ones from the real samples can be generated computationally by applying modified torus parameterizations. Surprisingly, a calculation of the curvature distribution of only one ”average” ring is sufficient to approximate the scaled kappa distributions accumulated from the ring distributions of the real samples.
DOI: 10.15480/882.1691
ISSN: 1359-6454
Journal: Acta materialia 
Institute: Keramische Hochleistungswerkstoffe M-9 
Werkstoffphysik und -technologie M-22 
Document Type: Article
Project: SFB 986: Teilprojekt B2 - Feste und leichte Hybridwerkstoffe auf Basis nanoporöser Metalle 
SFB 986, Teilproject B4 - Mikromechanisches Materialverhalten hierarchischer Werkstoffe 
License: CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives) CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
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