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Homology metrics for microstructure response fields in polycrystals / Thomas Wanner in Acta materialia, Vol. 58 N° 1 (Janvier 2010) 

Public ISBD [article]  in Acta materialia > Vol. 58 N° 1 (Janvier 2010) . - pp. 102–110 Titre : Homology metrics for microstructure response fields in polycrystals Type de document : texte imprimé Auteurs : Thomas Wanner, Auteur ; Edwin R. Fuller Jr., Auteur ; David M. Saylor, Auteur Année de publication : 2010 Article en page(s) : pp. 102–110 Note générale : Métallurgie Langues : Anglais (eng) Mots-clés : Homology  metrics  Microstructures  Polycrystals  Finite  element  simulations  Thermal  expansion  anisotropy Résumé : Quantitative homology metrics are proposed for characterizing the thermal–elastic response of polycrystalline materials. Simulations for a calcite-based polycrystal, marble, are used as an illustrative example. The homology metrics are based on topological measurements, such as the number of components and the number of handles of the thermal–elastic response fields for a complex microstructure. These homology metrics are applied to characterize not only the elastic energy density and maximum principal stress response fields in a polycrystal but also the correlated grain-boundary misorientation distributions that influenced the formation of these response fields. It is demonstrated that the topological analysis can quantitatively distinguish between different types of grain-boundary misorientations, as well as between differences in the resulting response fields. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645409005849 [article] Homology metrics for microstructure response fields in polycrystals [texte imprimé] / Thomas Wanner, Auteur ; Edwin R. Fuller Jr., Auteur ; David M. Saylor, Auteur . - 2010 . - pp. 102–110. Métallurgie Langues : Anglais (eng) in Acta materialia > Vol. 58 N° 1 (Janvier 2010) . - pp. 102–110 Mots-clés : Homology  metrics  Microstructures  Polycrystals  Finite  element  simulations  Thermal  expansion  anisotropy Résumé : Quantitative homology metrics are proposed for characterizing the thermal–elastic response of polycrystalline materials. Simulations for a calcite-based polycrystal, marble, are used as an illustrative example. The homology metrics are based on topological measurements, such as the number of components and the number of handles of the thermal–elastic response fields for a complex microstructure. These homology metrics are applied to characterize not only the elastic energy density and maximum principal stress response fields in a polycrystal but also the correlated grain-boundary misorientation distributions that influenced the formation of these response fields. It is demonstrated that the topological analysis can quantitatively distinguish between different types of grain-boundary misorientations, as well as between differences in the resulting response fields. DEWEY : 669 ISSN : 1359-6454 En ligne : http://www.sciencedirect.com/science/article/pii/S1359645409005849