Constraints on microstructural two-point correlation functions

Correlation functions are useful for representation of microstructural geometry. An equation is derived for limiting behavior of direction dependent two-point correlation functions in terms of orientation distribution of the interface normals and total interfacial area. These constraints are used to...

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Veröffentlicht in:	Scripta materialia 2005-10, Vol.53 (8), p.989-993
Hauptverfasser:	Gokhale, A.M., Tewari, A., Garmestani, H.
Format:	Artikel
Sprache:	eng
Schlagworte:	Applied sciences Constraining Correlation Exact sciences and technology Mathematical analysis Mathematical models Mechanical properties Mechanical properties and methods of testing. Rheology. Fracture mechanics. Tribology Metals. Metallurgy Microstructure Orientation Representations
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Beschreibung
Zusammenfassung:	Correlation functions are useful for representation of microstructural geometry. An equation is derived for limiting behavior of direction dependent two-point correlation functions in terms of orientation distribution of the interface normals and total interfacial area. These constraints are used to identify models for correlation functions that are not physically realizable.
ISSN:	1359-6462 0956-716X 1872-8456
DOI:	10.1016/j.scriptamat.2005.06.013