Lum, L.
, Saylor, D.
and Wanner, T.
(2021),
Homological Metrics for Microstructure Response Fields in Polycrystals, Acta Materialia
(Accessed November 14, 2025)
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Homological Metrics for Microstructure Response Fields in Polycrystals
Published
Author(s)
Lin-Sien H. Lum, , Thomas Wanner
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
Pub Type
Journals
Keywords
finite element simulations, grain orientation, grain-boundary misorientation, homology metrics, microstructures
Citation
Issues
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Created October 12, 2021