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|Author(s):||Lin-Sien H. Lum; D M. Saylor; Thomas Wanner;|
|Title:||Homological Metrics for Microstructure Response Fields in Polycrystals|
|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.|
|Keywords:||finite element simulations,grain orientation,grain-boundary misorientation,homology metrics,microstructures|
|Research Areas:||Characterization, Ceramics|