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Publisher DOI: 10.1016/j.actamat.2018.01.005
Title: 3D stochastic bicontinuous microstructures: generation, topology and elasticity
Language: English
Authors: Soyarslan, Celal 
Bargmann, Swantje 
Pradas, Marc 
Weissmüller, Jörg 
Keywords: RVE generation; Nanoporous gold; Topology; Elastic scaling relations; Homogenization
Issue Date: 7-Feb-2018
Source: Acta Materialia (149): 326-340 (2018)
Abstract (english): 
Motivated by recent experimental investigations of the mechanical behavior of nanoporous metal we explore an efficient and robust method for generating 3D representative volume elements (RVEs) with strikingly similar behavior. Our approach adopts Cahn's method of generating a Gaussian random field by taking a superposition of standing sinusoidal waves of fixed wavelength but random in direction and phase. In its theory part, our study describes closed-form xpressions for how the solid volume fraction affects the binarization evel, mean structure size, specific surface area, averages of mean and Gaussian curvature, and the scaled topological genus. Based on numerical studies we report on criteria for achieving representative realizations of the structure by proper choice of the number of waves and element size. We also show that periodic structures are readily created. We analyze the mechanical properties considering linear and infinitesimal elasticity and evaluate the residual anisotropy (which can be made small) and the effective values of the Young's modulus and Poisson's ratio. The numerical results are in excellent agreement with experimental findings for the variation of stiffness with solid fraction of nanoporous gold made by dealloying. We propose scaling relations that achieve naturally a perfect agreement with the numerical and experimental data. The scaling relation for the stiffness accounts for a percolation-to-cluster transition in the random field microstructure at a finite solid fraction. We propose that this transition is the origin of the previously reported anomalous compliance of nanoporous gold.
DOI: 10.15480/882.1618
ISSN: 1359-6454
Journal: Acta materialia 
Institute: Werkstoffphysik und -technologie M-22 
Kontinuums- und Werkstoffmechanik M-15 
Document Type: Article
Project: SFB 986: Teilprojekt B2 - Feste und leichte Hybridwerkstoffe auf Basis nanoporöser Metalle 
SFB 986: Teilprojekt B6 - Modellierung und Simulation der Interphaseneigenschaften von Kompositwerkstoffen aus Metall und Polymer auf der Nanoskala 
License: CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives) CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
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