A principle curvatures analysis of the isothermal evolution of nanoporous gold: Quantifying the characteristic length-scales

Ziehmer, Markus; Hu, Kaixiong; Wang, Ke; Lilleodden, Erica T.

doi:10.1016/j.actamat.2016.08.028

Cited by 50 publications

(40 citation statements)

References 15 publications

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“…By this approach, common issues with determining the percolation threshold p c and exponent could be avoided. For measuring the total cut fraction of a real structure, e.g., from a skeleton of a FIB tomography (Hu et al, 2016;Ziehmer et al, 2016;Hu, 2017;Richert and Huber, 2018), the related fully connected reference is required; however, this is unknown. Alternatively, the average coordination number z of a 3D network could be measured, because it is connected with the total cut fraction by the linear relationship, as given in Equation (12).…”

Section: Relationship Between Scaled Genus Density and Average Coordimentioning

confidence: 99%

“…Experimental work, including macroscopic testing (Liu et al, 2016;Liu and Jin, 2017) and 3D FIB tomography (Hu et al, 2016;Ziehmer et al, 2016), give evidence that nanoporous metals, which can be interpreted as a network of nanosized ligaments, contain a considerable fraction of so-called dangling ligaments. They originate from pinch-off events during the coarsening of the nanoporous metal, due to atomic diffusion during heat treatment.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Connections Between Topology and Macroscopic Mechanical Properties of Three-Dimensional Open-Pore Materials

Huber

2018

Front. Mater.

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Section: Relationship Between Scaled Genus Density and Average Coordimentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Connections Between Topology and Macroscopic Mechanical Properties of Three-Dimensional Open-Pore Materials

Huber

2018

Front. Mater.

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“…The observed overestimation might also not be a problem when studying the self-similarity etc. of structures, or when comparing mean values or distributions [7,15,34]. However, for the mechanical simulation, the correct diameter distribution along the ligament axis is crucial.…”

Section: Impact Of "Thickness" Algorithm On Ligament Stiffnessmentioning

confidence: 99%

Skeletonization, Geometrical Analysis, and Finite Element Modeling of Nanoporous Gold Based on 3D Tomography Data

Richert

Huber

2018

Metals

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Abstract:Various modeling approaches simplify and parametrize the complex network structure of nanoporous gold (NPG) for studying the structure-property relationship based on artificially generated structures. This paper presents a computational efficient and versatile finite element method (FEM) beam model that is based on skeletonization and diameter information derived from the original 3D focused ion beam-scanning electron microscope (FIB-SEM) tomography data of NPG. The geometrical skeleton network is thoroughly examined for a better understanding of the NPG structure. A skeleton FEM beam model is derived that can predict the macroscopic mechanical behavior of the material. Comparisons between the mechanical response of this skeleton beam model and a solid FEM model are conducted. Results showed that the biggest-sphere diameter algorithm implemented in the open-source software FIJI, commonly used for geometrical analysis of microstructural data, overestimates the diameter of the curved NPG ligaments. The larger diameters lead to a significant overestimation of macroscopic stiffness and strength by the skeleton FEM beam model. For a parabolic shaped ligament with only 20% variation in its diameter, a factor of more than two was found in stiffness. It is concluded that improved algorithms for image processing are needed that provide accurate diameter information along the ligament axis.

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“…First studies based on NPG were conducted by Rösner et al (2007) using TEM on dealloyed gold leafs. Hu et al (2016), Mangipudi et al (2016), and (Ziehmer et al, 2016) analyzed NPG samples of larger volumes, obtained from focused ion beam (FIB) sectioning and scanning electron microscope (SEM) imaging. By these thorough works, a systematic analysis of the NPG morphology in terms of ligament size distribution and connectivity density has become possible for the first time.…”

Section: Introductionmentioning

confidence: 99%

Computation of Thickness and Mechanical Properties of Interconnected Structures: Accuracy, Deviations, and Approaches for Correction

2019

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A principle curvatures analysis of the isothermal evolution of nanoporous gold: Quantifying the characteristic length-scales

Cited by 50 publications

References 15 publications

Connections Between Topology and Macroscopic Mechanical Properties of Three-Dimensional Open-Pore Materials

Connections Between Topology and Macroscopic Mechanical Properties of Three-Dimensional Open-Pore Materials

Skeletonization, Geometrical Analysis, and Finite Element Modeling of Nanoporous Gold Based on 3D Tomography Data

Computation of Thickness and Mechanical Properties of Interconnected Structures: Accuracy, Deviations, and Approaches for Correction

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