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Modeling and simulation of microstructures using power diagrams: Proof of the concept

: Kühn, M.; Steinhauser, M.O.


Applied Physics Letters 93 (2008), Nr.3, Art. 034102, 3 S.
ISSN: 0003-6951
ISSN: 1077-3118
Fraunhofer EMI ()
Fraunhofer ITWM ()

Power diagrams are a generalization of Voronoi diagrams for arbitrary dimensions. We present a modeling and optimization scheme for power diagrams in three spacial dimensions based on the statistics of experimental data obtained from cross-sectional images of polycrystalline materials. Our optimization scheme based on the grains' area and perimeter distributions can be used to obtain realistic three-dimensional polycrystalline structures which can subsequently be used for numerical simulations. As a proof of the concept we apply our scheme to high-performance ceramics and present the results of initial shock-impact simulations of the obtained polycrystalline structures.