APPROPRIATE MODELS FOR SIMULATING OPEN-POROUS MATERIALS
DOI:
https://doi.org/10.5566/ias.1649Keywords:
open-porous, models, open-foams, micro CTAbstract
In the present paper two representative models applied for modeling of two types of porous materials - open-cell foams and open-porosity tapes - are addressed. Algorithms presented here base on Laguerre-Voronoi tessellations (open-cell foams) and the sphere representation (open-porosity tapes) and enable creating the desired porosity and pore size distribution. The geometrical features of the models, such as: porosity, mean pore size, cell diameter distribution and number of faces per cell were compared with those obtained by 3D micro-computed tomography and good agreement was obtained.
References
Christensen RM (2000). Mechanics of cellular and other low-density materials. Int. J. Solids Struct. 37:94–104.
Depczynski W, Kazala R, Ludwinek K, Jedynak K (2016). Modelling and microstructural characterization of sintered metallic porous materials. Materials 9(7):567.
Fan Z, Wu Y, Zhao X, Lu Y (2004). Simulation of polycrystalline structure with Voronoi diagram in Laguerre geometry based on random closed packing of spheres. Comput. Mater. Sci. 29:301–8.
Fiedler T, Solorzano E, Garcia-Moreno F, A. Ochsner, Belova IV, Murch GE (2009). Computed tomography based finite element analysis of the thermal properties of cellular aluminium. Mater. Sci. Tech. Ser. 40:139–43.
Fiedler T, Belova IV, Murch GE (2012). uCT-based finite element analysis on imperfections in open-celled metal foam: Mechanical properties, Scripta Mater. 67:455–8.
Gaiselmann G, Neumann M, Holzer L, Hocker T, Prestat MR, Schmidt V (2013). Stochastic 3D modeling of La0.6Sr0.4CoO3 cathodes based on structural segmentation of FIBSEM images. Comput. Mater. Sci. 67:48–62.
Grenestedt JL (1999). Effective elastic behavior of some models for perfect cellular solids. Int. J. Solids Struct. 36:1471–501.
Große J, Dietrich B, Garrido GI, Habisreuther P, Zarzalis N, Martin H, Kind M, Kraushaar-Czarnetzki B (2009). Morphological characterization of ceramic sponges for applications in chemical engineering. Ind. Eng. Chem. Res. 48(23):10395–401.
Konstantinidis ICh, Tsipas SA (2010). Symmetry effects and their influence on the mechanical behavior of open and closed cell Al foams. Mater. Des. 31:4490–5.
Lautensack C, Sych T (2006). 3D image analysis of open foams using random tessellations. Image Anal. Stereol. 25:87–93.
Lueth S, Sauter US, Bessler WG (2016). An agglomerate model of lithium-ion battery cathodes. J. Electrochem. Soc. 163(2):A210–A222.
Prins-Jansen JA, Hemmes K, DeWit JHW (1997). An extensive treatment of the agglomerate model for porous electrodes in molten carbonate fuel cells I. Qualitative analysis of the steady-state model. Electrochim. Acta 42(23):3585–600.
Redenbach C (2009). Microstructure models for cellular materials. Comput. Mater. Sci. 44(4):1397–407.
Regulski W, Szumbarski J, Wollk-Laniewski L, Gumowski K, Skibinski J, Wichrowski M, Wejrzanowski T (2015). Pressure drop in flow across ceramic foams - A numerical and experimental study. Chem. Eng. Sci. 137:320–33.
Roberts AP, Garboczi EJ (2002). Elastic properties of model random three-dimensional open-cell solids. J. Mech. Phys. Solids 50:33-5.
Skibinski J, Cwieka K, Kowalkowski T, Wysocki B, Wejrzanowski T, Kurzydlowski KJ (2015). The influence of pore size variation on the pressure drop in open-cell foams. Mater. Design 87:50–5.
Skibinski J, Wejrzanowski T, Szumbarski J, Kurzydowski KJ (2012). Computational design of the flow properties of foams. WIT Transactions on Engineering Sciences 74:109–18. ISBN 978-1-84564-6004.
Stroeven P, Le LBN, Sluys LJ, He H (2012). Porosimetry by random node structuring in virtual concrete. Image Anal Stereol 31:79-87.
Thomson W (1887). On the division of space with minimum partitional area. Philos. Mag. 24(151):503–14.
Veyhl C, Belova IV, Murch GE, Fiedler T (2011). Finite element analysis of the mechanical properties of cellular aluminium based on microcomputed tomography. Mater. Sci. Eng. A-Struct. 528(13-14):4550–5.
Warren WE, Krayniki AM (1997). Linear elastic behavior of a low-density Kelvin foam with open cells. J. Appl. Mech. 64:787–94.
Wejrzanowski T, Skibinski J, Szumbarski J, Kurzydlowski KJ (2013). Structure of foams modeled by Laguerre-Voronoi tesselations. Comput. Mater. Sci. 67:216–21.
Zhu HX, Knott JF, Mills NJ (1997). Analysis of the elastic properties of open-cell foams with tetrakaidecahedral cells. J. Mech. Phys. Solids 45:319–43.
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