Parametric representation of 3D grain ensembles in polycrystalline microstructures

DOI10.1007/s10955-013-0893-7zbMath1291.82124OpenAlexW2030860158MaRDI QIDQ2016558

Aaron Spettl, Thomas Werz, Carl E. III Krill, Volker Schmidt

Publication date: 20 June 2014

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10955-013-0893-7

zbMATH Keywords

polycrystalline microstructureLaguerre tessellationorthogonal regressionconvex cells

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Combinatorial aspects of tessellation and tiling problems (05B45)

Related Items (4)

Generating polycrystalline microstructures with prescribed tensorial texture coefficients ⋮ Turning Grain Maps into Diagrams ⋮ Fast methods for computing centroidal Laguerre tessellations for prescribed volume fractions with applications to microstructure generation of polycrystalline materials ⋮ Optimal polyhedral description of 3D polycrystals: method and application to statistical and synchrotron X-ray diffraction data

Cites Work

• Fitting three-dimensional Laguerre tessellations to foam structures
• Random Laguerre tessellations
• Statistical Analysis and Modelling of Spatial Point Patterns
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