Scaling laws of nanoporous gold under uniaxial compression: Effects of structural disorder on the solid fraction, elastic Poisson's ratio, Young's modulus and yield strength

Roschning, Benedikt; Huber, N.

doi:10.1016/j.jmps.2016.02.018

Cited by 58 publications

(57 citation statements)

References 37 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…This proves the expectation that the straight connections over-stiffen the network, in comparison to a network with curved connection paths. This is consistent to the finding of Huber et al [6] and Roschning et al [16] that the amount of disorder going along with increasing beam curvedness has a strong impact on the mechanical response of such a beam network. This furthermore goes along with the observation that the 1 V/E discretization shows highest compliance and the flattest stress-strain curve.…”

Section: Macroscopic Mechanical Responsesupporting

confidence: 92%

“…Instead of an over-prediction of stiffness and strength values lower than those from the solid model were expected, at least for the finer discretization 5 V/E and even more for 1 V/E. The reason for this expectation is the stiffening and strengthening effect of the nodal mass that is accounted for in the solid model and still missing in the skeleton beam model (see [6,16,18]). …”

Section: Femmentioning

confidence: 97%

“…To this end, the discretization of the structure will make use of beam elements available in ABAQUS [40]. As proposed by Huber et al [6,[16][17][18], cylindrical B31 beam elements are used, which allow transverse shear strain considering Timoshenko beam theory.…”

Section: Skeleton Fem Beam Modelmentioning

confidence: 99%

“…Besides very fundamental calculations such as density functional theory (DFT) [13] and molecular dynamics simulations (MD) [11,12,14], there are several simplified finite element method (FEM) models [6,[13][14][15][16][17][18] and even analytical models [19][20][21][22][23][24] for predicting mechanical properties. In many modeling approaches the complex NPG Before the skeleton data were translated into the skeleton FEM beam model, the geometrical data were thoroughly analyzed.…”

Section: Introductionmentioning

confidence: 99%

See 3 more Smart Citations

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

Richert

Huber

2018

Metals

View full text Add to dashboard Cite

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.

show abstract

Section: Macroscopic Mechanical Responsesupporting

confidence: 92%

Section: Femmentioning

confidence: 97%

Section: Skeleton Fem Beam Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

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

Richert

Huber

2018

Metals

View full text Add to dashboard Cite

show abstract

“…17,26,27,[50][51][52][53][54] Our study finds that these parameters vary between the different synthesis routes. Indentation testing allows a rough investigation of the consequences on the mechanical behavior.…”

Section: Electrochemicalmentioning

confidence: 65%

Nanoporous Gold by Alloy Corrosion: Method-Structure-Property Relationships

Graf

Roschning

Weißmüller

2017

J. Electrochem. Soc.

Self Cite

View full text Add to dashboard Cite

Nanoporous gold (NPG) made by selective corrosion, or dealloying, serves as a model system for the investigation of electrochemical and mechanical properties of nanomaterials. While various dealloying protocols are in use, it is typically assumed that the structural characteristics are identical and independent of the preparation technique. Yet, reported properties such as strength, Young's modulus, or catalytic behavior can vary widely. Here, we compare the microstructure and the mechanical behavior of NPG structures prepared by three different synthesis protocols reported in the literature. We find that corrosion rates, the content of residual sacrificial metal, the average ligament size and the densification by shrinkage strongly depend on the synthesis protocol and show the consequences on the mechanical properties. NPG exhibits an open-cell nanoscale network structure with a well-defined characteristic size of the metal phase, the so-called ligaments. These can be scaled ranging from as small as 5 nm up to 1 μm 17-21 so that NPG established as a model system for the investigation of nanoscale materials behavior.Studies of the catalytic or mechanical behavior of NPG by different authors do not report consistent observations in all instances. The role of the residual sacrificial metal content as an origin for the remarkable catalytic activity (e.g. for CO oxidation) is under discussion. 22-25As another instance, reports on the mechanical strength and stiffness of nominally comparable structures disagree by up to one order of magnitude. 26,27 Therefore it is significant to note that a number of different dealloying protocols are applied within these studies. Conceivably, diverging observations on the material's behavior may be related to the impact of these protocols on the microstructure. Here, we explore this issue by comparing the microstructures of NPG made by three common preparation routes.The elementary steps of dealloying are the removal of atoms of the less noble element from the parent phase and the redistribution of the nobler element atoms on the crystal lattice by surface diffusion. 21This creates a network structure, typically with sizes between 5 and 20 nm. 28,29 When assuming complete removal of the less noble element from a parent alloy (e.g. Ag x Au 1-x which is composed of similarly sized atoms), the solid volume fraction, ϕ, of the porous structure will ideally agree with the atom fraction of the more noble element in the master alloy. Yet, the shrinkage during dealloying may reduce the external sample dimensions, thereby increasing ϕ.29 Structural coarsening begins during dealloying 28 and its rate is affected e.g. by the composition of the electrolyte, 30 additional alloy elements 31,32 or the temperature. 33 These observations emphasize that details of the dealloying process may have a substantial effect on the microstructure of the nanoporous material. Table I lists several synthesis protocols for NPG; these are often implicitly expected to result in similar structures. As the object of...

show abstract

Nanoporous Metals with Structural Hierarchy: A Review

et al. 2017

View full text Add to dashboard Cite

Nanoporous (np) metals have generated much interest since they combine several desirable material characteristics, such as high surface area, mechanical size effects, and high conductivity. Most of the research has been focused on np Au due to its relatively straightforward synthesis, chemical stability, and many promising applications in the fields of catalysis and actuation. Other materials, such as np-Cu, Ag, and Pd have also been studied. This review discusses recent advances in the field of np metals, focusing on new research areas that implement and leverage structural hierarchy while using np metals as their base structural constituents. First, we focus on single-element porous metals that are made of np metals at the fundamental level, but synthesized with additional levels of porosity. Second, we discuss the fabrication of composite structures, which use auxiliary materials to enhance the properties of np metals. Important applications of these hierarchical materials, especially in the fields of catalysis and electrochemistry, are also reviewed. Finally, we conclude with a discussion about future opportunities for the advancement and application of np metals.

show abstract

Scaling laws of nanoporous gold under uniaxial compression: Effects of structural disorder on the solid fraction, elastic Poisson's ratio, Young's modulus and yield strength

Cited by 58 publications

References 37 publications

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

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

Nanoporous Gold by Alloy Corrosion: Method-Structure-Property Relationships

Nanoporous Metals with Structural Hierarchy: A Review

Contact Info

Product

Resources

About