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Publication Citation: Homological Metrics for Microstructure Response Fields in Polycrystals

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Author(s): Lin-Sien H. Lum; D M. Saylor; Thomas Wanner;
Title: Homological Metrics for Microstructure Response Fields in Polycrystals
Published: Date Unknown
Abstract: Quantitative homological metrics are proposed for characterizing the thermal-elastic response of calcite-based polycrystals. The characterization is based on topological measurements, such as the number of components and the number of handles of a complex microstructure and its thermal-elastic response fields. These homological metrics are then applied to characterize both the grain-boundary misorientations in the polycrystal and the resulting elastic energy density and principal stress fields. It is demonstrated that the topological analysis can quantitatively distinguish between different types of grain-boundary misorientations, as well as between the resulting differences in the response fields.
Citation: Acta Materialia
Keywords: finite element simulations;grain orientation;grain-boundary misorientation;homology metrics;microstructures
Research Areas: Characterization, Ceramics