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Philosophical Magazine Volume 96, 2016 - Issue 18
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Part A: Materials Science

3D reconstruction of grains in polycrystalline materials using a tessellation model with curved grain boundaries

Ondřej ŠedivýDepartment of Advanced Structural Materials, Institute of Physics, Czech Academy of Sciences, Prague, Czech Republic.Correspondence[email protected]
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,
Tim BreretonFaculty of Mathematics and Economics, Institute of Stochastics, Ulm University, Ulm, Germany.View further author information
,
Daniel WesthoffFaculty of Mathematics and Economics, Institute of Stochastics, Ulm University, Ulm, Germany.View further author information
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Leoš PolívkaDepartment of Advanced Structural Materials, Institute of Physics, Czech Academy of Sciences, Prague, Czech Republic.View further author information
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Viktor BenešFaculty of Mathematics and Physics, Department of Probability and Mathematical Statistics, Charles University in Prague, Prague, Czech Republic.View further author information
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Volker SchmidtFaculty of Mathematics and Economics, Institute of Stochastics, Ulm University, Ulm, Germany.View further author information
&
Aleš JägerDepartment of Advanced Structural Materials, Institute of Physics, Czech Academy of Sciences, Prague, Czech Republic.View further author information
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Pages 1926-1949 | Received 05 Jan 2016, Accepted 23 Apr 2016, Published online: 23 May 2016

Citations (14)

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Read on this site (3)

Andreas Alpers, Maximilian Fiedler, Peter Gritzmann & Fabian Klemm. (2023) Dynamic grain models via fast heuristics for diagram representations. Philosophical Magazine 103:10, pages 948-968.
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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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Kirubel Teferra & David J. Rowenhorst. (2018) Direct parameter estimation for generalised balanced power diagrams. Philosophical Magazine Letters 98:2, pages 79-87.
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Articles from other publishers (11)

Andreas AlpersMaximilian FiedlerPeter Gritzmann & Fabian Klemm. (2023) Turning Grain Maps into Diagrams. SIAM Journal on Imaging Sciences 16:1, pages 223-249.
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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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Christopher W. Adair, Hayley Evans, Emily Beatty, Derek L. Hansen, Seth Holladay & Oliver K. Johnson. (2022) Microstructure design using a human computation game. Materialia 25, pages 101544.
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Michael Klichowicz, Dietrich Stoyan & Holger Lieberwirth. (2022) Towards realistic modeling of mineral microstructures. Minerals Engineering 184, pages 107634.
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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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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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Orkun Furat, Lukas Petrich, Donal P. Finegan, David Diercks, Francois Usseglio-Viretta, Kandler Smith & Volker Schmidt. (2021) Artificial generation of representative single Li-ion electrode particle architectures from microscopy data. npj Computational Materials 7:1.
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Kirubel Teferra & David J. Rowenhorst. (2021) Optimizing the cellular automata finite element model for additive manufacturing to simulate large microstructures. Acta Materialia 213, pages 116930.
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Jannick Kuhn, Matti Schneider, Petra Sonnweber-Ribic & Thomas Böhlke. (2020) Fast methods for computing centroidal Laguerre tessellations for prescribed volume fractions with applications to microstructure generation of polycrystalline materials. Computer Methods in Applied Mechanics and Engineering 369, pages 113175.
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K. LOSCH, S. SCHUFF, F. BALLE, T. BECK & C. REDENBACH. (2019) A stochastic microstructure model for particle reinforced aluminium matrix composites. Journal of Microscopy 273:2, pages 115-126.
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Ondřej Šedivý, Daniel Westhoff, Jaromír Kopeček, Carl E. Krill III & Volker Schmidt. (2018) Data-Driven Selection of Tessellation Models Describing Polycrystalline Microstructures. Journal of Statistical Physics 172:5, pages 1223-1246.
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