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μCT-Based Analysis of the Solid Phase in Foams: Cell Wall Corrugation and other Microscopic Features

  • Samuel Pardo-Alonso (a1), Eusebio Solórzano (a1), Jerome Vicente (a2), Loes Brabant (a3), Manuel L. Dierick (a3), Ingo Manke (a4), Andr Hilger (a4), Ester Laguna (a1) and Miguel Angel Rodriguez-Perez (a1)...

This work presents a series of three-dimensional computational methods with the objective of analyzing and quantifying some important structural characteristics in a collection of low-density polyolefin-based foams. First, the solid phase tortuosity, local thickness, and surface curvature, have been determined over the solid phase of the foam. These parameters were used to quantify the presence of wrinkles located at the cell walls of the foams under study. In addition, a novel segmentation technique has been applied to the continuous solid phase. This novel method allows performing a separate analysis of the constituting elements of this phase, that is, cell struts and cell walls. The methodology is based on a solid classification algorithm and evaluates the local topological dissimilarities existing between these elements. Thanks to this method it was possible to perform a separate analysis of curvature, local thickness, and corrugation ratio in the solid constituents that reveals additional differences that were not detected in the first analysis of the continuous structure. The methods developed in this work are applicable to other types of porous materials in fields such as geoscience or biomedicine.

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Alkemper J. & Vorhees P.W. (2001). Three-dimensional characterization of dendritic microstructures. Acta Mater 49, 897902.
Almanza O., Masso-Moreu Y., Mills N.J. & Rodriguez-Perez M.A. (2004). Thermal expansion coefficient and bulk modulus of polyethylene closed-cell foams. J Polym Sci B Polym Phys 42, 37413749.
Almanza O., Rodriguez-Perez M.A. & De Saja J.A. (1999). The thermal conductivity of polyethylene foams manufactured by a nitrogen solution process. Cell Polym 18(6), 385401.
Almanza O., Rodriguez-Perez M.A. & De Saja J.A. (2000). Prediction of the radiation term in the thermal conductivity of crosslined closed cell polyolefin foams. J Polym Sci B Polym Phys 38, 9931004.
Almanza O., Rodiguez-Perez M.A. & De Saja J.A. (2001). The microstructure of polyethylene foams produced by a nitrogen solution process. Polym 42, 71177126.
Álvarez-Láinez M., Rodriguez-Perez M.A. & De Saja J.A. (2014). Acoustic absorption coefficient of open-cell polyolefin-based foams. Mater Lett 121, 2630.
Alvarez-Lainez M.A., Rodriguez-Perez M.A. & De Saja J.A. (2008). Thermal conductivity of open cell polyolefin foams. J Polym Sci B Polym Phys 46(2), 212221.
Andrews E., Sanders W. & Gibson L.J. (1999). Compressive and tensile behaviour of aluminum foams. Mater Sci Eng 270(2), 113124.
Brabant L., Vlassenbroeck J., De Witte Y., Cnudde V., Boone M., Dewanckele J. & Van Hoorebeke L. (2011). Three-dimensional analysis of high-resolution X-ray computed tomography data with Morpho+. Microsc Microanal 17(2), 252263.
Brun E., Vicente J., Topin F. & Occelli R. (2008). Characterization of the full thermal conductivity tensor of anisotropic metal foams – Influence of the fluid phase. In Metfoam 2007: Porous Metals and Metallic Foams. Proceedings of the Fifth International Conference on Porous Metals and Metallic Foams, Lefebvre, L.P., Banhart, J. & Dunand, D.C., pp. 513–516 Lancaster, DEStech Publications.
Brun, E., Vicente, J. (2010). Volumetric segmentation of trabecular bone into rods and plates: a new method based on local shape classification. In Proceedings of SPIE Medical Imaging 2010: Image processing, Dawant, B.M. & Haynor, D.R. (Eds.), doi: 10.1117/12.843804.
Bullitt E., Gerig G., Pize S., Lin W. & Aylward S.R. (2003). Measuring tortuosity of the intracerebral vasculature from MRA images. IEEE Trans Med Imaging 22(9), 11631171.
Eaves D. (2004). Handbook of Polymer Foams. UK: Rapra Technology.
Gibson L.J. & Ashby M.F. (1997). Cellular Solids – Structure and Properties. UK: Cambridge University Press.
Glicksman L.R. (1994). Low Density Cellular Plastics. UK: Chapman & Hall.
Gommes C.J., Bons A.J., Blacher S., Dunsmuir J.H. & Tsou A.H. (2009). Practical methods for measuring the tortuosity of porous materials from binary or gray-tone tomographic reconstructions. AIChE J 55(8), 20002012.
Grenestedt J.L. (1998). Influence of wavy imperfections in cell walls on elastic stiffness of cellular solids. J Mech Phys Solids 46(1), 2950.
Hildebrand T. & Rüesegger P. (1997). A new method for the model-independent assessment of thickness in three-dimensional images. J Micros 185(1), 6775.
Jinnai H., Koga T., Nishikawa Y., Hashimoto T. & Hyde S.T. (1997). Curvature determination of spinodal interface in a condensed matter system. Phys Rev Lett 78, 22482251.
Kammer D. & Vorhees P.W. (2006). The morphological evolution of dendritic microstructures during coarsening. Acta Mater 54, 15491558.
Kuhn J.J., Ebert H.P., Arduini-Schuster M.C., Buttner D. & Fricke J. (1992). Thermal transport in polystyrene and polyurethane foam insulations. Int J Heat Mass Trans 35(7), 17951801.
Lorensen W.E. & Cline H.E. (1987). Marching Cubes: A high resolution 3-D surface construction algorithm. ACM Siggraph Comput Graph 21, 163169.
Lu T.J., Stone H.A. & Ashby M.F. (1998). Heat transfer in open-cell metal foams. Acta Mater 46(10), 36193635.
Ma Y., Pyrz R., Rodriguez-Perez M.A., Escudero J., Rauhe J.C. & Su X. (2011). X-ray microtomographic study of nanoclay-polypropylene foams. Cell Polym 30(3), 95110.
Mader K., Mokso R., Raufaste C., Dollet B., Santucci S., Lambert J. & Stampanoni M. (2012). Quantitative 3D characterization of cellular materials: Segmentation and morphology of foam. Colloids Surf A 12(415), 230238.
Martinez-Diez J.A., Rodriguez-Perez M.A., De Saja J.A., Arcos Y Rabago L.O. & Almanza O. (2001). The thermal conductivity of a polyethylene foam block produced by a compression molding process. J Cell Plast 37, 2142.
Meagher A.J., Mukherjee M., Weaire D., Hutzler S., Banhart J. & Garcia Moreno F. (2011). Analysis of the internal structure of monodisperse liquid foams by X-ray tomography. Soft Matter 7, 98819885.
Pardo-Alonso S., Solórzano E., Brabant L., Vanderniepen P., Dierick M., Van Hoorebeke L. & Rodriguez-Perez M.A. (2013). 3D analysis of the progressive modification of the cellular architecture in polyurethane nanocomposite foams via X-ray microtomography. Eur Polym J 49, 9991006.
Pinto J., Solórzano E., Rodíguez-Pérez M.A. & De Saja J.A. (2013). Characterization of the cellular structure based on user-interactive image analysis procedures. J Cell Plast 49(6), 554 574.
Rasband W.S. (2012). ImageJ, U. S. National Institutes of Health, Bethesda, Maryland, USA. Available at
Rodriguez-Perez M.A. (2005). Crosslinked polyolefin foams: Production, structure, properties and applications. Adv Polym Sci 184, 97126.
Rodriguez-Perez M.A., Almanza O., Ruiz-Herrero J.L. & de Saja, J.A. (2008). The effect of processing on the structure and properties of crosslinked closed cell polyethylene foams. Cell Polym 27, 179200.
Russ J.C. (2007). Image Processing Handbook. USA: CRC Editors.
Schindelin J., Arganda-Carreras I., Frise E., Kanyg V., Longair M., Pietzsch T., Preibisch S., Rueden C., Saalfeld S., Schmid B., Tivenez J.Y., White D.J., Hartestein V., Elceiri K., Tomacank P. & Cardona A. (2012). Fiji: An open-source platform for biological-image analysis. Nat Methods 9(7), 676682.
Simone A.E. & Gibson L.J. (1998). Effects of solid distribution on the stiffness and strength of metallic foams. Acta Mater 46(6), 21392150.
Solórzano E., Pardo-Alonso S., Brabant L., Vicente J., Van Hoorebeke L. & Rodriguez-Perez M.A. (2013). Computational approaches for tortuosity determination in 3D structures. In Tomography of Materials and Structures: Book of Abstracts: Talks, Presented at the 1st International Conference on Tomography of Materials and Structures (ICTMS 2013), Cnudde, V. (Ed.), pp.71–74, Ghent, University of Ghent.
Toyofumi S. & Jun-Ichiro T. (1994). New algorithms for euclidean distance transformation of an n-dimensional digitized picture with applications pattern. Recognition 27(11), 15511565.
Vincent L. & Soille P. (1991). Watersheds in digital spaces – An efficient algorithm based on immersion simulation. IEEE Trans Pattern Anal Mach Intell 13(6), 583598.
Vlassenbroeck J., Dierick M., Masschaele B., Cnudde V., Van Hoorebeke L. & Jacobs P. (2007). Software tools for quantification of X-ray microtomography. Nucl Instrum Methods Phys Res Sect 580(1), 442445.
Weaire D. & Hutzler S. (1999). The Physics of Foams. UK: Oxford University Press.
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Microscopy and Microanalysis
  • ISSN: 1431-9276
  • EISSN: 1435-8115
  • URL: /core/journals/microscopy-and-microanalysis
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