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PUBLICATIONS

Homological Metrics for Microstructure Response Fields in Polycrystals

Published

Author(s)

Lin-Sien H. Lum, D M. Saylor, 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
Ceramics and Biomaterials

Citation

Lum, L. , Saylor, D. and Wanner, T. (2021), Homological Metrics for Microstructure Response Fields in Polycrystals, Acta Materialia (Accessed April 18, 2024)

Created October 12, 2021