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Philosophical Magazine Volume 95, 2015 - Issue 25
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Part A: Materials Science

Laguerre approximation of random foams

André LiebscherDepartment of Mathematics, University of Kaiserslautern, PO Box 3049, 67653Kaiserslautern, Germany.Correspondence[email protected]
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Pages 2777-2792 | Received 16 Apr 2015, Accepted 27 Jul 2015, Published online: 01 Sep 2015

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D. P. Bourne, P. J. J. Kok, S. M. Roper & W. D. T. Spanjer. (2020) Laguerre tessellations and polycrystalline microstructures: a fast algorithm for generating grains of given volumes. Philosophical Magazine 100:21, pages 2677-2707.
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Ondřej Šedivý, Tim Brereton, Daniel Westhoff, Leoš Polívka, Viktor Beneš, Volker Schmidt & Aleš Jäger. (2016) 3D reconstruction of grains in polycrystalline materials using a tessellation model with curved grain boundaries. Philosophical Magazine 96:18, pages 1926-1949.
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A. Spettl, T. Brereton, Q. Duan, T. Werz, C. E. Krill$suffix/text()$suffix/text(), D. P. Kroese & V. Schmidt. (2016) Fitting Laguerre tessellation approximations to tomographic image data. Philosophical Magazine 96:2, pages 166-189.
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Articles from other publishers (11)

A. Liebscher & C. Redenbach. (2022) Elastic properties of Laguerre approximations of random foams. International Journal of Solids and Structures 252, pages 111722.
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Tim Fabian Korzeniowski & Kerstin Weinberg. (2022) Data-driven finite element computation of open-cell foam structures. Computer Methods in Applied Mechanics and Engineering 400, pages 115487.
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Christophe Leblanc, Nanda Gopala Kilingar, Anne Jung, Karim Ehab Moustafa Kamel, Thierry Jacques Massart, Ludovic Noels & Eric Béchet. (2022) Analysis of an open foam generated from computerized tomography scans of physical foam samples. International Journal for Numerical Methods in Engineering 123:18, pages 4267-4295.
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Dascha Dobrovolskij & Katja Schladitz. (2022) Simulation of Ultrasonic Backscattering in Polycrystalline Microstructures. Acoustics 4:1, pages 139-167.
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Ludovic Noels. 2022. 1 254 .
Anne Jung, Claudia Redenbach, Katja Schladitz & Sarah Staub. 2022. Research in Mathematics of Materials Science. Research in Mathematics of Materials Science 257 281 .
Lukas Petrich, Orkun Furat, Mingyan Wang, Carl E. Krill III & Volker Schmidt. (2021) Efficient Fitting of 3D Tessellations to Curved Polycrystalline Grain Boundaries. Frontiers in Materials 8.
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Martin Beer, Marcela Taušová, Radim Rybár & Michal Kaľavský. (2020) A Novel Economical Method of Determining the Geometric Characteristic of the Metal Foam Based on Image Analysis. Energies 13:13, pages 3378.
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N.G. Kilingar, K. Ehab Moustafa Kamel, B. Sonon, T.J. Massart & L. Noels. (2019) Computational generation of open-foam representative volume elements with morphological control using distance fields. European Journal of Mechanics - A/Solids 78, pages 103847.
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Supanut Chaidee & Kokichi Sugihara. (2018) Spherical Laguerre Voronoi diagram approximation to tessellations without generators. Graphical Models 95, pages 1-13.
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Supanut Chaidee & Kokichi Sugihara. 2016. Discrete and Computational Geometry and Graphs. Discrete and Computational Geometry and Graphs 73 84 .

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