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Philosophical Magazine B Volume 73, 1996 - Issue 3
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Original Articles

The Laguerre model of grain growth in two dimensions II. Examples of coarsening simulations

Hubert Telley Département de mathématiques, Ecole polytechnique fédérale, CH-1015, Lausanne, Switzerland
,
Thomas m. Libeling Département de mathématiques, Ecole polytechnique fédérale, CH-1015, Lausanne, Switzerland
&
Alain Mocellin Ecole des mines, Pare de Saurupt, F-54000, Nancy, France
Pages 409-427 | Received 30 Nov 1994, Accepted 14 Jul 1995, Published online: 27 Sep 2006

Citations (18)

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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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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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André Liebscher. (2015) Laguerre approximation of random foams. Philosophical Magazine 95:25, pages 2777-2792.
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Andreas Alpers, Andreas Brieden, Peter Gritzmann, Allan Lyckegaard & Henning Friis Poulsen. (2015) Generalized balanced power diagrams for 3D representations of polycrystals. Philosophical Magazine 95:9, pages 1016-1028.
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Hubert Telley, ThomasM. Liebling & Alain Mocellin. (1996) The Laguerre model of grain growth in two dimensions I. Cellular structures viewed as dynamical Laguerre tessellations. Philosophical Magazine B 73:3, pages 395-408.
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Articles from other publishers (13)

Y. Schneider, U. Weber, W. Wasserbäch, R. Zielke, S. Schmauder & W. Tillmann. (2020) A numerical method for the generation of hierarchical Poisson Voronoi microstructures applied in micromechanical finite element simulations—part I: method. Computational Mechanics 66:3, pages 651-667.
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Supanut Chaidee & Kokichi Sugihara. (2019) Laguerre Voronoi Diagram as a Model for Generating the Tessellation Patterns on the Sphere. Graphs and Combinatorics 36:2, pages 371-385.
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A Spettl, R Wimmer, T Werz, M Heinze, S Odenbach, C E KrillIIIIII & V Schmidt. (2015) Stochastic 3D modeling of Ostwald ripening at ultra-high volume fractions of the coarsening phase. Modelling and Simulation in Materials Science and Engineering 23:6, pages 065001.
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A. LIEBSCHER, D. JEULIN & C. LANTUÉJOUL. (2015) Stereological reconstruction of polycrystalline materials. Journal of Microscopy 258:3, pages 190-199.
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Aaron Spettl, Thomas Werz, Carl E. KrillIIIIII & Volker Schmidt. (2013) Parametric Representation of 3D Grain Ensembles in Polycrystalline Microstructures. Journal of Statistical Physics 154:4, pages 913-928.
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Jun Chen Li, Xu Dong Li & Jie Sheng. (2011) Multi-Parameter Design and Simulation of Composite Microstructure. Advanced Materials Research 314-316, pages 1306-1312.
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Allan Lyckegaard, Erik Mejdal Lauridsen, Wolfgang Ludwig, Richard Warren Fonda & Henning Friis Poulsen. (2011) On the Use of Laguerre Tessellations for Representations of 3D Grain Structures. Advanced Engineering Materials 13:3, pages 165-170.
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Yoshihiro Suwa, Yoshiyuki Saito & Hidehiro Onodera. (2007) Three-dimensional phase field simulation of the effect of anisotropy in grain-boundary mobility on growth kinetics and morphology of grain structure. Computational Materials Science 40:1, pages 40-50.
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C.E. Krill III & L.-Q. Chen. (2002) Computer simulation of 3-D grain growth using a phase-field model. Acta Materialia 50:12, pages 3059-3075.
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P S Grassia, J J Cilliers & S J Neethling. (2001) The foam geometry "paradox". Canadian Journal of Physics 79:10, pages 1265-1281.
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Jean-Albert Ferrez, Thomas M. Liebling & Didier Müller. 2000. Statistical Physics and Spatial Statistics. Statistical Physics and Spatial Statistics 394 409 .
V. Parfait-Pignol, R. Delannay & A. Mocellin. 1999. Foams and Emulsions. Foams and Emulsions 547 562 .
Uwe Zimmermann, Ulrich Derigs, Wolfgang Gaul, Rolf H. Möhring & Karl-Peter SchusterThomas M. Liebling. 1997. Operations Research Proceedings 1996. Operations Research Proceedings 1996 101 106 .

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