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Computer modeling of systematic processing defects on the thermal and elastic properties of open Kelvin-cell metamaterials
Affiliation:1. Department of Materials Science and Engineering, Qilu University of Technology (Shandong Academy of Sciences), Jinan, 250353, China;2. State Key Laboratory of Silicate Materials for Architectures, Wuhan University of Technology, Wuhan, 430070, China;3. Shandong Provincial Key Laboratory of Chemical Energy Storage and Novel Cell Technology, School of Chemical and Chemical Engineering, Liaocheng University, Liaocheng, 252059, China;4. Department of Chemistry and Bioscience, Aalborg University, Aalborg, DK-9220, Denmark;1. Federal University of São Carlos, Graduate Program in Materials Science and Engineering (PPGCEM), 13565-905, São Carlos, SP, Brazil;2. Federal University of São Carlos (UFSCar), Department of Materials Engineering (DEMa), 13565-905, São Carlos, SP, Brazil;3. Université Paris-Saclay, ENS Paris-Saclay, CNRS, LMT – Laboratoire de Mécanique et Technologie, 91190 Gif-sur-Yvette, France;1. College of Science, Xi’an University of Posts and Telecommunications, Xi’an, Shaanxi, 710121, PR China;2. Institute of Advanced Structure Technology, Beijing Institute of Technology, Haidian District, 100081, Beijing, PR China;1. Instituto de Tecnología de Materiales (ITM), Universitat Politècnica de València, Camino de Vera, s/n, 46022, Valencia, Spain;2. Nanoker Research S.L., Polígono Industrial Olloniego, Parcela 22A, nave 5. 33660, Oviedo, Spain;3. Instituto de Cerámica y Vidrio (ICV), Consejo Superior de Investigaciones Científicas (CSIC), Kelsen 5, E-28049, Madrid, Spain
Abstract:Open-cell metamaterials prepared by additive manufacturing or replica techniques are typically prone to processing defects resulting from limited resolution, strut cross-section variations or internal strut porosity. These defects are expected to cause deviations from the ideal (CAD-based or template-based) target microstructures and thus from the envisaged properties. This paper investigates some of these effects in a quantitative manner. Based on computer-generated open Kelvin-cell (tetrakaidecahedral) alumina-based metamaterials, the effective thermal conductivity and elastic constants, mainly Young’s modulus, are calculated in dependence of the voxel size, strut thinning and strut wall thickness. It is shown that the porosity dependence of smooth, straight and full struts agrees closely to the Gibson-Ashby prediction for open-cell foams, while limited resolution and strut thinning leads to property values that tend to be lower and hollow struts lead to higher property values. The Pabst-Gregorová cross-property relation gives an excellent prediction of the conductivity-modulus correlation in all cases.
Keywords:Metamaterials  Additive manufacturing  Open-cell foams  Thermal conductivity  Elastic constants (Young’s modulus  Poisson ratio)
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